Least Common Multiple of 25, 44, 56, 352

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 25, 44, 56, 352 i.e. 61600 smallest integer divisible by all numbers.

Least common multiple (LCM) of 25, 44, 56, 352 is 61600.

LCM(25, 44, 56, 352) = 61600

LCM of 25, 44, 56, 352

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

LCM of:

Least Common Multiple of 25,44,56,352

Least Common Multiple (LCM) of 25,44,56,352 is 61600

2 25, 44, 56, 352
2 25, 22, 28, 176
2 25, 11, 14, 88
11 25, 11, 7, 44
25, 1, 7, 4

∴ So the LCM of the given numbers is 2 x 2 x 2 x 11 x 25 x 1 x 7 x 4 = 61600

Least Common Multiple of 25,44,56,352 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 25,44,56,352 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(25,44,56,352) = 1

common factors(in case of two or more numbers have common factors) = 352

GCF(25,44,56,352) x common factors =1 x 352 = 352

LCM(25,44,56,352) = ( 25 × 44 × 56 × 352 ) / 352

LCM(25,44,56,352) = 21683200 / 352

LCM(25,44,56,352) = 61600

∴ Least Common Multiple of 25,44,56,352 is 61600

LCM of two or more Numbers Calculation Examples

Frequently Asked Questions on LCM of 25, 44, 56, 352

1. What is the LCM of 25, 44, 56, 352?

Answer: LCM of 25, 44, 56, 352 is 61600.

2. What are the Factors of 61600?

Answer: Factors of 61600 are . There are integers that are factors of 61600

3. How to Find the LCM of 25, 44, 56, 352 ?

Least Common Multiple of 25, 44, 56, 352.

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(25, 44, 56, 352) = 2 x 2 x 2 x 2 x 2 x 5 x 5 x 7 x 11 = 61600.