Given Numbers: 8, 10, 12, 15
Identify the Prime Factors of 8, 10, 12 and 15 by Prime Factorization:
Prime Factorization of 8: 8 = 2 x 2 x 2 = 23
Prime Factorization of 10: 10 = 2 x 5 = 21 x 51
Prime Factorization of 12: 12 = 2 x 2 x 3 = 22 x 31
Prime Factorization of 15: 15 = 3 x 5 = 31 x 51
Prime Factors of 8, 10, 12 and 15 (collectively): 2, 3 and 5
Least Common Multiple of 8, 10, 12 and 15 is the product of their Prime Factors raised to the highest occurrence (largest exponent) of each factor:
LCM(8, 10, 12, 15) = 23 x 31 x 51
LCM(8, 10, 12, 15) = 8 x 3 x 5
LCM(8, 10, 12, 15) = 120
Least Common Multiple of 8, 10, 12 and 15 by Prime Factorization
The solution above and all other related solutions were provided by the Least Common Multiple by Prime Factorization Application.
