Question

FIND THE HCF AND LCM : 28,49,84​

Answer 1

Step-by-step explanation:

28 = 2² × 7

49 = 7²

84 = 2² × 3 × 7

LCM = Product of Highest powers of all Factors

LCM = 2² × 3 × 7²

LCM = 588

HCF = Product of lowest power of common factors

HCF = 7

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Answer 2

Given,

$28,49,84$

We have to find the LCM and HCF of given numbers

• First we can write the factors of given number, so that we can easily find out the HCF of numbers.
• After that we have to write the prime factors of given number to find LCM

HCF of $28,49,84$

Factors of $28 = 1,2,4,7,14,24$

Factors of $49=1,7,49$

Factors of $84 = 1,2,3,4,6,7,12,14,21,28,42,84$

Therefore, the HCF of $28,49,84$ is $7$

LCM of $28,49,84$

Prime factors of $28 = 7\times2\times2$

Prime factors of $49=7\times7$

Prime factors of $84= 7\times2\times2\times3$

Therefore, the LCM of $28,49,84$ is $588$.