MATHEMATICS CLASS X>Chapter 1 - Real Numbers>EXERCISE 1.4>Q 2

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10th CBSE

IMPORTANT

Earn 100

Find the $LCM$ and $HCF$ of the following integers by applying the prime factorization method:
$24, 15$ and $36$ .

If the $LCM$ is represented by $x$ , then find the value of $x$ .

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Important Questions on Real Numbers

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10th CBSE

IMPORTANT

MATHEMATICS CLASS X>Chapter 1 - Real Numbers>EXERCISE 1.4>Q 3

Given that,

HCF (306, 657) = 9

, find

LCM (306, 657)

.

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10th CBSE

IMPORTANT

MATHEMATICS CLASS X>Chapter 1 - Real Numbers>EXERCISE 1.4>Q 4

Can two numbers have

16

as their

HCF

and

380

as their

LCM

? Given reason.

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10th CBSE

IMPORTANT

MATHEMATICS CLASS X>Chapter 1 - Real Numbers>EXERCISE 1.4>Q 5

The

HCF

of two numbers is

145

and their

LCM

is

2175

. If one number is

725

, find the other.

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10th CBSE

IMPORTANT

MATHEMATICS CLASS X>Chapter 1 - Real Numbers>EXERCISE 1.4>Q 6

The

HCF

of two numbers is

16

and their product is

3072

. Find their

LCM

.

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10th CBSE

IMPORTANT

MATHEMATICS CLASS X>Chapter 1 - Real Numbers>EXERCISE 1.4>Q 7

The

LCM

and

HCF

of two numbers are

180

and

6

respectively. If one of the numbers is

30

, find the other number.

HARD

10th CBSE

IMPORTANT

MATHEMATICS CLASS X>Chapter 1 - Real Numbers>EXERCISE 1.4>Q 8

Find the smallest number which when increased by

17

is exactly divisible by both

520

and

468

.

HARD

10th CBSE

IMPORTANT

MATHEMATICS CLASS X>Chapter 1 - Real Numbers>EXERCISE 1.4>Q 9

Find the smallest number which leaves remainders $8$ and $12$ when divided by $28$ and $32$ respectively.

MEDIUM

10th CBSE

IMPORTANT

MATHEMATICS CLASS X>Chapter 1 - Real Numbers>EXERCISE 1.4>Q 10

What is the smallest number, that when divided by

35, 56

and

91

, leaves remainders of

7

in each case?