Least Common Multiple of 58, 56, 49, 952

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Use the LCM of two or more numbers Calculator to find the Least Common Multiple of numbers 58, 56, 49, 952 i.e. 193256 smallest integer divisible by all numbers.

Least common multiple (LCM) of 58, 56, 49, 952 is 193256.

LCM(58, 56, 49, 952) = 193256

LCM of 58, 56, 49, 952

Least common multiple or lowest common denominator (lcd) can be calculated in three ways

LCM of:

Least Common Multiple of 58,56,49,952

Least Common Multiple (LCM) of 58,56,49,952 is 193256

2 58, 56, 49, 952
2 29, 28, 49, 476
2 29, 14, 49, 238
7 29, 7, 49, 119
29, 1, 7, 17

∴ So the LCM of the given numbers is 2 x 2 x 2 x 7 x 29 x 1 x 7 x 17 = 193256

Least Common Multiple of 58,56,49,952 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 58,56,49,952 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(58,56,49,952) = 1

common factors(in case of two or more numbers have common factors) = 784

GCF(58,56,49,952) x common factors =1 x 784 = 784

LCM(58,56,49,952) = ( 58 × 56 × 49 × 952 ) / 784

LCM(58,56,49,952) = 151512704 / 784

LCM(58,56,49,952) = 193256

∴ Least Common Multiple of 58,56,49,952 is 193256

LCM of two or more Numbers Calculation Examples

Frequently Asked Questions on LCM of 58, 56, 49, 952

1. What is the LCM of 58, 56, 49, 952?

Answer: LCM of 58, 56, 49, 952 is 193256.

2. What are the Factors of 193256?

Answer: Factors of 193256 are . There are integers that are factors of 193256

3. How to Find the LCM of 58, 56, 49, 952 ?

Least Common Multiple of 58, 56, 49, 952.

Step 1: Divide all the numbers with common prime numbers having remainder zero.

Step 2: Then multiply all the prime factors with last row quotient of common division that is LCM(58, 56, 49, 952) = 2 x 2 x 2 x 7 x 7 x 17 x 29 = 193256.