Given Numbers: 3, 6, 12, 216
Identify the Prime Factors of 3, 6, 12 and 216 by Prime Factorization:
Prime Factorization of 3: 3 = 31 (prime number)
Prime Factorization of 6: 6 = 2 x 3 = 21 x 31
Prime Factorization of 12: 12 = 2 x 2 x 3 = 22 x 31
Prime Factorization of 216: 216 = 2 x 2 x 2 x 3 x 3 x 3 = 23 x 33
Prime Factors of 3, 6, 12 and 216 (collectively): 2 and 3
Least Common Multiple of 3, 6, 12 and 216 is the product of their Prime Factors raised to the highest occurrence (largest exponent) of each factor:
LCM(3, 6, 12, 216) = 23 x 33
LCM(3, 6, 12, 216) = 8 x 27
LCM(3, 6, 12, 216) = 216
Least Common Multiple of 3, 6, 12 and 216 by Prime Factorization
The solution above and all other related solutions were provided by the Least Common Multiple by Prime Factorization Application.
