Least Common Multiple of 575, 400, 756

Q: How to Find the LCM of 575, 400, 756 ?

Least Common Multiple of 575, 400, 756 = 1738800 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(575, 400, 756) = 2 x 2 x 2 x 2 x 3 x 3 x 3 x 5 x 5 x 7 x 23 = 1738800.

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 575, 400, 756 i.e. 1738800 smallest integer divisible by all numbers.

Least common multiple (LCM) of 575, 400, 756 is 1738800.

LCM(575, 400, 756) = 1738800

LCM of 575, 400, 756

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

Least Common Multiple of 575, 400, 756 by common division method
Least Common Multiple of 575, 400, 756 with GCF Formula

Least Common Multiple of 575,400,756

Least Common Multiple (LCM) of 575,400,756 is 1738800

2	575, 400, 756
2	575, 200, 378
5	575, 100, 189
5	115, 20, 189
	23, 4, 189

∴ So the LCM of the given numbers is 2 x 2 x 5 x 5 x 23 x 4 x 189 = 1738800

Least Common Multiple of 575,400,756 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 575,400,756 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(575,400,756) = 1

common factors(in case of two or more numbers have common factors) = 100

GCF(575,400,756) x common factors =1 x 100 = 100

LCM(575,400,756) = ( 575 × 400 × 756 ) / 100

LCM(575,400,756) = 173880000 / 100

LCM(575,400,756) = 1738800

∴ Least Common Multiple of 575,400,756 is 1738800

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 575, 400, 756

1. What is the LCM of 575, 400, 756?

Answer: LCM of 575, 400, 756 is 1738800.

2. What are the Factors of 1738800?

Answer: Factors of 1738800 are . There are integers that are factors of 1738800

3. How to Find the LCM of 575, 400, 756 ?

Least Common Multiple of 575, 400, 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(575, 400, 756) = 2 x 2 x 2 x 2 x 3 x 3 x 3 x 5 x 5 x 7 x 23 = 1738800.