Question

HCF of (196, 84) =28. Find LCM (196, 84).
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Answer 1

Step-by-step explanation:

L.C.M = 2 × 2 × 7 × 7 × 3 = 588

I HOPE U UNDERSTAND

Answer 2

The LCM (196, 84) = 588

Given :

HCF (196, 84) =28

To find :

The LCM (196, 84)

Concept :

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

Solution :

Step 1 of 2 :

Write down HCF of two numbers

Here it is given that HCF of (196, 84) = 28

HCF of two numbers 196, 84 is 28

Step 2 of 2 :

Find the LCM

We know that

HCF × LCM = Product of the numbers

$\displaystyle \sf{ \implies 28 \times LCM = 196 \times 84}$

$\displaystyle \sf{ \implies LCM = \frac{196 \times 84}{28} }$

$\displaystyle \sf{ \implies LCM = 196 \times 3 }$

$\displaystyle \sf{ \implies LCM = 588 }$

Hence LCM (196, 84) = 588

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