Least Common Multiple of 257, 150, 200, 853, 752

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 257, 150, 200, 853, 752 i.e. 12364064400 smallest integer divisible by all numbers.

Least common multiple (LCM) of 257, 150, 200, 853, 752 is 12364064400.

LCM(257, 150, 200, 853, 752) = 12364064400

LCM of 257, 150, 200, 853, 752

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

LCM of:

Least Common Multiple of 257,150,200,853,752

Least Common Multiple (LCM) of 257,150,200,853,752 is 12364064400

2 257, 150, 200, 853, 752
2 257, 75, 100, 853, 376
2 257, 75, 50, 853, 188
5 257, 75, 25, 853, 94
5 257, 15, 5, 853, 94
257, 3, 1, 853, 94

∴ So the LCM of the given numbers is 2 x 2 x 2 x 5 x 5 x 257 x 3 x 1 x 853 x 94 = 12364064400

Least Common Multiple of 257,150,200,853,752 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 257,150,200,853,752 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(257,150,200,853,752) = 1

common factors(in case of two or more numbers have common factors) = 400

GCF(257,150,200,853,752) x common factors =1 x 400 = 400

LCM(257,150,200,853,752) = ( 257 × 150 × 200 × 853 × 752 ) / 400

LCM(257,150,200,853,752) = 4945625760000 / 400

LCM(257,150,200,853,752) = 12364064400

∴ Least Common Multiple of 257,150,200,853,752 is 12364064400

LCM of two or more Numbers Calculation Examples

Frequently Asked Questions on LCM of 257, 150, 200, 853, 752

1. What is the LCM of 257, 150, 200, 853, 752?

Answer: LCM of 257, 150, 200, 853, 752 is 12364064400.

2. What are the Factors of 12364064400?

Answer: Factors of 12364064400 are . There are integers that are factors of 12364064400

3. How to Find the LCM of 257, 150, 200, 853, 752 ?

Least Common Multiple of 257, 150, 200, 853, 752.

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(257, 150, 200, 853, 752) = 2 x 2 x 2 x 2 x 3 x 5 x 5 x 47 x 257 x 853 = 12364064400.