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Q.

Find the LCM of the given numbers by prime factorisation method: 24, 28, 196.

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a

1176

b

1180

c

1170

d

1145

answer is A.

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Detailed Solution

Concept- Here we have to use the concepts of factorization and LCM (least common multiple). Factorization is the process of writing a number in terms of factors, which when multiplied gives the original number. After factoring, take each factor and its maximum occurrence to find the LCM. Therefore, by using the concept of factorization, we can find the LCMs for a given number.
Prime factorization of the given numbers are
Question Image

Question Image

prime number factor maximum 3 times, 3 one times, 7 two times

Hence, the correct answer is option 1).

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