Least Common Multiple

Author:Jayashree Vipin

6th CBSE

IMPORTANT

Important Questions on Least Common Multiple

HARD

IMPORTANT

Maths Express>HCF and LCM>Least Common Multiple> Q 1

Given below is a number puzzle. Solve it using a given number clues:

Question Image

Clues:

Across	Down
$a .$ The LCM of $12$ and $18$	$a .$ A $2 -$ digit prime number between $30$ and $35$ .
$b .$ The HCF of $56$ and $70$ .	$b .$ The LCM of $45$ and $60$ .
$c .$ A multiple of $29$ .	$c .$ A $3 -$ digit multiple of $67$
$d .$ The sum of the smallest composite number and the largest $2 -$ digit number.	$d .$ The product of the smallest $2 -$ digit prime number with itself.
$e .$ Largest factor of $18$	$e .$ The HCF of $48$ and $60$

MEDIUM

IMPORTANT

Maths Express>HCF and LCM>Least Common Multiple> Q 2

The LCM of $54$ and $216$ is _____.

MEDIUM

IMPORTANT

Maths Express>HCF and LCM>Least Common Multiple> Q 3

The LCM of $18$ and $40$ are _____.

EASY

IMPORTANT

Maths Express>HCF and LCM>Least Common Multiple> Q 4

The smallest number that is divisible by $8, 10$ and $12$ is _____.

EASY

IMPORTANT

Maths Express>HCF and LCM>Least Common Multiple> Q 5

The LCM of two prime numbers is their _____.

MEDIUM

IMPORTANT

Maths Express>HCF and LCM>Least Common Multiple> Q 6

The LCM of $9, 12$ is

MEDIUM

IMPORTANT

Maths Express>HCF and LCM>Least Common Multiple> Q 7

Tables in an auditorium are arranged in rows of $3$ , rows of $4$ , rows of $5$ such that one table is left in each case. Find the least number of tables arranged in the auditorium.

MEDIUM

IMPORTANT

Maths Express>HCF and LCM>Least Common Multiple> Q 8

Find the least number which when divided by $15, 18$ and $20$ leaves the remainder $3$ in each case.

MEDIUM

IMPORTANT

Maths Express>HCF and LCM>Least Common Multiple> Q 9

Find the least number that will divide $96, 160$ and $240$ completely.

MEDIUM

IMPORTANT

Maths Express>HCF and LCM>Least Common Multiple> Q 10

Find the LCM and HCF of $95, 120$ . Verify that the product of their LCM and HCF is equal to their product.