Question

H.C.F. of 2,4,6,8,10 and 12

Answer 1

The value of LCM of 2, 4, 6, 8, 10, and 12 is the smallest common multiple of 2, 4, 6, 8, 10, and 12.

The number satisfying the given condition is 120.

∴LCM(2, 4, 6, 8, 10, 12) = 120.

Answer 2

SOLUTION

TO DETERMINE

The HCF of 2 , 4 , 6 , 8 , 10 and 12

CONCEPT TO BE IMPLEMENTED

HCF :

For the given two or more numbers HCF is the greatest number that divides each of the numbers

LCM :

For the given two or more numbers LCM is the least number which is exactly divisible by each of the given numbers

Relation between HCF and LCM :

HCF × LCM = Product of the numbers

EVALUATION

Here the given numbers are 2 , 4 , 6 , 8 , 10 and 12

We prime factorise the given numbers

2 is a prime number

4 = 2 × 2

6 = 2 × 3

8 = 2 × 2 × 2

10 = 2 × 5

12 = 2 × 2 × 3

Hence the required HCF

= The greatest number that divides each of the numbers

= 2

FINAL ANSWER

The HCF of 2 , 4 , 6 , 8 , 10 and 12 = 2

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