Least Common Multiple of 187, 504, 756

Q: How to Find the LCM of 187, 504, 756 ?

Least Common Multiple of 187, 504, 756 = 282744 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(187, 504, 756) = 2 x 2 x 2 x 3 x 3 x 3 x 7 x 11 x 17 = 282744.

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 187, 504, 756 i.e. 282744 smallest integer divisible by all numbers.

Least common multiple (LCM) of 187, 504, 756 is 282744.

LCM(187, 504, 756) = 282744

LCM of 187, 504, 756

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

Least Common Multiple of 187, 504, 756 by common division method
Least Common Multiple of 187, 504, 756 with GCF Formula

Least Common Multiple of 187,504,756

Least Common Multiple (LCM) of 187,504,756 is 282744

2	187, 504, 756
2	187, 252, 378
3	187, 126, 189
3	187, 42, 63
7	187, 14, 21
	187, 2, 3

∴ So the LCM of the given numbers is 2 x 2 x 3 x 3 x 7 x 187 x 2 x 3 = 282744

Least Common Multiple of 187,504,756 with GCF Formula

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

We need to calculate greatest common factor of 187,504,756 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(187,504,756) = 1

common factors(in case of two or more numbers have common factors) = 252

GCF(187,504,756) x common factors =1 x 252 = 252

LCM(187,504,756) = ( 187 × 504 × 756 ) / 252

LCM(187,504,756) = 71251488 / 252

LCM(187,504,756) = 282744

∴ Least Common Multiple of 187,504,756 is 282744

LCM of two or more Numbers Calculation Examples

Here are some samples of LCM of two or more Numbers calculations.

Frequently Asked Questions on LCM of 187, 504, 756

1. What is the LCM of 187, 504, 756?

Answer: LCM of 187, 504, 756 is 282744.

2. What are the Factors of 282744?

Answer: Factors of 282744 are . There are integers that are factors of 282744

3. How to Find the LCM of 187, 504, 756 ?

Least Common Multiple of 187, 504, 756.

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(187, 504, 756) = 2 x 2 x 2 x 3 x 3 x 3 x 7 x 11 x 17 = 282744.