find the LCM of the following (the number are given I. the prime factorisation form ) 3×7×7×11 Ans is 8085
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LCM of 7, 11, 21, and 22 by Division Method:
In this division method, we divide 7, 11, 21, and 21 simultaneously with prime numbers and stop it when we don't have a prime number to divide them further.
The product of the prime numbers used for the common division is the LCM of 7, 11, 21, and 21
LCM of 7 , 11 21 and 22
LCM of 7, 11, 21, and 22 using Prime Factorization:
Write all the given numbers as the product of its prime factors
Prime factorization of 7 = 7
Prime factorization of 11=11
Prime factorization of 21 =7× 3, and
Prime factorization of 22 = 2×11
The prime factors 2, 3 ,7 ,11 occurs one time each in the prime factorization.
The product of all these prime factors is the LCM of 7, 11, 21, and 22, which is 2×3×7×11= 462.
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