Question

find the product of hcf and lcm of 60 , 84 , 108
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Answer 1

Answer:

HCF (60,84,108) is 12

LCM (60,84,108) is 1260

Step-by-step explanation:

60 = 2 × 2 × 3 × 5

84 = 2 × 2 × 3 × 7

108 = 2 × 2 × 3 × 3 × 3

HCF (60,84,108) = 2 × 2 × 3 = 12

LCM (60,84,108) = 3³ × 2² × 7 × 5 = 1260

Answer 2

Concept:

LCM is the least common factor of the given numbers i.e. the smallest number of given numbers are divisible by the given numbers by and HCF is the Highest Common factor of the given numbers i.e. the given numbers are divisible by the largest number.

Given:

Numbers 60, 84, 108

Find:

We are asked to seek out the product of HCF and LCM.

Solution:

We have,

Numbers 60, 84, 108

So,

To find LCM,

Find factors of given numbers,

i.e.

60 = 2 × 2 × 3 × 5

Now,

84 = 2 × 2 × 3 × 7

Now,

108 = 2 × 2 × 3 × 3 ×3

So,

HCF of numbers (60, 84, 108) = 2 × 2 × 3 = 12

Now,

LCM of numbers (60, 84, 108) = 2 × 2 × 3 × 3 × 3 × 7 × 5 =  3780

So, the product of LCm and HCF = 3780 × 12 = 45360

Hence we can say that the product of LCm and HCF is 45360.

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