Prime factorization of 24 is:
2 X 12
2 X 2 X 6
2 X 2 X 2 X 3
The prime factorization of 56 is:
2 X 28
2 X 2 X 14
2 X 2 X 2 X 7
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The prime factorization for 24 (with exponents) is: 23 x 3
23 x 7 = 56
Prime factorization of 7 = 7 Prime factorization of 56 = 2*2*2*7 Common number(factor in factorization) or simply H.C.F.= 7 L.C.M. = H.C.F. * Product of other numbers = 7*2*2*2 = 56 In this case 7 is an exact divisor of 56, therefore L.C.M. = 56
The prime factorization of 112 using exponents is: 24 x 7
To find the Least Common Multiple (LCM) of 98, 56, and 28, we first need to find the prime factorization of each number. The prime factorization of 98 is 2 * 7^2, the prime factorization of 56 is 2^3 * 7, and the prime factorization of 28 is 2^2 * 7. To find the LCM, we take the highest power of each prime factor that appears in any of the numbers. Therefore, the LCM of 98, 56, and 28 is 2^3 * 7^2, which equals 392.