Identify the Prime Factors of 24, 30 and 48 by Prime Factorization:
Prime Factorization of 24: 24 = 2 x 2 x 2 x 3 = 23 x 31
Prime Factorization of 30: 30 = 2 x 3 x 5 = 21 x 31 x 51
Prime Factorization of 48: 48 = 2 x 2 x 2 x 2 x 3 = 24 x 31
Prime Factors of 24, 30 and 48: 2, 3 and 5
Least Common Multiple of 24, 30 and 48 is the product of their Prime Factors raised to the highest occurrence (largest exponent) of each factor:
LCM(24,30,48) = 24 x 31 x 51
LCM(24,30,48) = 16 x 3 x 5
LCM(24,30,48) = 240
Least Common Multiple of 24, 30 and 48 by Prime Factorization
The solution above and all other related solutions were provided by the Least Common Multiple by Prime Factorization Application.