Question

If the HCF of 124 and 148 is 4 , then its LCM will be:-
(A) 1147
(B) 18325
(C) 4588
(D) none of these​

Answer 1

Answer:

C) 4588

Step-by-step explanation:

Let two numbers be x and y

Here x = 124 and y = 148

xy = HCF * LCM

124 * 148 = 4 * LCM

LCM = 124 * 148 / 4

= 4588

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Answer 2

Answer :-

Given :-

• Two numbers = 124 and 148
• HCF = 4

To Find :-

• LCM

Solution :-

We know that,

Product of two numbers = HCF × LCM

Substituting the values :-

→ 124 × 148 = 4 × LCM

→ 18352 = 4 × LCM

→ LCM = 18352 / 4

→ LCM = 4588

Hence, LCM is 4588 ( option c )

Now, let us find the LCM by prime factorization and verify our answer :-

→ Prime factorization of 124 = 31 × 4

→ Prime factorization of 148 = 37 × 4

→ LCM = 31 × 4 × 37

→ LCM = 4588

Hence, our answer is correct.