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Find the prime factorization of $1728$ using the method of division.

Important Questions on Less Common Multiple and Highest Common Factor

EASY

Mathematics>Arithmetic>Less Common Multiple and Highest Common Factor>Multiple, Common Multiple and Least Common Multiple

If $\frac{1}{y + z} + \frac{1}{z + x} = \frac{2}{x + y}$ then what is the value of $x^{2} + y^{2}$ ?

EASY

Mathematics>Arithmetic>Less Common Multiple and Highest Common Factor>Multiple, Common Multiple and Least Common Multiple

A boy has

3

shirts and

2

coats. How many different pairs, a shirt and a coat can he dress up with ?

EASY

Mathematics>Arithmetic>Less Common Multiple and Highest Common Factor>Multiple, Common Multiple and Least Common Multiple

Find L.C.M. of

26

and

91

by the prime factorization method.

EASY

Mathematics>Arithmetic>Less Common Multiple and Highest Common Factor>Multiple, Common Multiple and Least Common Multiple

The least number which is exactly divisible by

4, 5, 8, 10,

and

12

is _____.

EASY

Mathematics>Arithmetic>Less Common Multiple and Highest Common Factor>Multiple, Common Multiple and Least Common Multiple

What is the smallest integer that is a multiple of

5, 8

and

15

MEDIUM

Mathematics>Arithmetic>Less Common Multiple and Highest Common Factor>Multiple, Common Multiple and Least Common Multiple

Find the LCM of

\frac{25}{7}, \frac{15}{28}, \frac{20}{21}

EASY

Mathematics>Arithmetic>Less Common Multiple and Highest Common Factor>Multiple, Common Multiple and Least Common Multiple

Find the LCM and HCF of $6$ and $20$ by the prime factorisation method.

EASY

Mathematics>Arithmetic>Less Common Multiple and Highest Common Factor>Multiple, Common Multiple and Least Common Multiple

a

and

b

are positive integers such that

(a^{2} - b^{2})

is a prime number, then

MEDIUM

Mathematics>Arithmetic>Less Common Multiple and Highest Common Factor>Multiple, Common Multiple and Least Common Multiple

The HCF of two numbers is

29

, and the other two factors of their LCM are

15

and

13

. The smaller of the two numbers is:

EASY

Mathematics>Arithmetic>Less Common Multiple and Highest Common Factor>Multiple, Common Multiple and Least Common Multiple

The least number which is exactly divisible by

5

6

8

10

and

12

is:

HARD

Mathematics>Arithmetic>Less Common Multiple and Highest Common Factor>Multiple, Common Multiple and Least Common Multiple

How many ordered pairs

(a, b)

of positive integers with

a < b

and

100 \leq a, b \leq 1000

satisfy

gcd (a, b) : lcm (a, b) = 1 : 495 ?

MEDIUM

Mathematics>Arithmetic>Less Common Multiple and Highest Common Factor>Multiple, Common Multiple and Least Common Multiple

What is the least common multiple of

\frac{6}{5}

and

\frac{8}{25}

MEDIUM

Mathematics>Arithmetic>Less Common Multiple and Highest Common Factor>Multiple, Common Multiple and Least Common Multiple

What is the largest two-digit number which when divided by

6

and

7

gives the remainder

3

and

4

respectively?

EASY

Mathematics>Arithmetic>Less Common Multiple and Highest Common Factor>Multiple, Common Multiple and Least Common Multiple

How many numbers from

1

1000

are divisible by

2

3

4

and

5

EASY

Mathematics>Arithmetic>Less Common Multiple and Highest Common Factor>Multiple, Common Multiple and Least Common Multiple

What is the LCM of $x^{3} + 8$ , $x^{2} + 5 x + 6$ and $x^{3} + 4 x^{2} + 4 x$ ?

HARD

Mathematics>Arithmetic>Less Common Multiple and Highest Common Factor>Multiple, Common Multiple and Least Common Multiple

Suppose

a, b, c

are positive integers such that

2^{a} + 4^{b} + 8^{c} = 328 .

Then

\frac{a + 2 b + 3 c}{a b c}

is equal to-

HARD

Mathematics>Arithmetic>Less Common Multiple and Highest Common Factor>Multiple, Common Multiple and Least Common Multiple

The number of

6

-digit numbers of the form

a b a b a b

(in base

10

) each of which is a product of exactly

6

distinct primes is

MEDIUM

Mathematics>Arithmetic>Less Common Multiple and Highest Common Factor>Multiple, Common Multiple and Least Common Multiple

LCM of

23, 35, 46

is _____

EASY

Mathematics>Arithmetic>Less Common Multiple and Highest Common Factor>Multiple, Common Multiple and Least Common Multiple

What is the smallest integer that is divisible by

3, 7

and

18

EASY

Mathematics>Arithmetic>Less Common Multiple and Highest Common Factor>Multiple, Common Multiple and Least Common Multiple

x

is a prime number,

L C M

x

and its successive number would be:

Find the prime factorization of 1728 using the method of division.

Important Questions on Less Common Multiple and Highest Common Factor

Learn and Prepare for any exam you want !

Find the prime factorization of $1728$ using the method of division.