Given Numbers: 30, 45, 60
Identify the Prime Factors of 30, 45 and 60 by Prime Factorization:
Prime Factorization of 30: 30 = 2 x 3 x 5 = 21 x 31 x 51
Prime Factorization of 45: 45 = 3 x 3 x 5 = 32 x 51
Prime Factorization of 60: 60 = 2 x 2 x 3 x 5 = 22 x 31 x 51
Prime Factors of 30, 45 and 60 (collectively): 2, 3 and 5
Least Common Multiple of 30, 45 and 60 is the product of their Prime Factors raised to the highest occurrence (largest exponent) of each factor:
LCM(30, 45, 60) = 22 x 32 x 51
LCM(30, 45, 60) = 4 x 9 x 5
LCM(30, 45, 60) = 180
Least Common Multiple of 30, 45 and 60 by Prime Factorization
The solution above and all other related solutions were provided by the Least Common Multiple by Prime Factorization Application.
