Least Common Multiple of 200, 360, 976

Q: How to Find the LCM of 200, 360, 976 ?

Least Common Multiple of 200, 360, 976 = 219600 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(200, 360, 976) = 2 x 2 x 2 x 2 x 3 x 3 x 5 x 5 x 61 = 219600.

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 200, 360, 976 i.e. 219600 smallest integer divisible by all numbers.

Least common multiple (LCM) of 200, 360, 976 is 219600.

LCM(200, 360, 976) = 219600

LCM of 200, 360, 976

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

Least Common Multiple of 200, 360, 976 by common division method
Least Common Multiple of 200, 360, 976 with GCF Formula

Least Common Multiple of 200,360,976

Least Common Multiple (LCM) of 200,360,976 is 219600

2	200, 360, 976
2	100, 180, 488
2	50, 90, 244
5	25, 45, 122
	5, 9, 122

∴ So the LCM of the given numbers is 2 x 2 x 2 x 5 x 5 x 9 x 122 = 219600

Least Common Multiple of 200,360,976 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 200,360,976 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(200,360,976) = 8

common factors(in case of two or more numbers have common factors) = 40

GCF(200,360,976) x common factors =8 x 40 = 320

LCM(200,360,976) = ( 200 × 360 × 976 ) / 320

LCM(200,360,976) = 70272000 / 320

LCM(200,360,976) = 219600

∴ Least Common Multiple of 200,360,976 is 219600

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 200, 360, 976

1. What is the LCM of 200, 360, 976?

Answer: LCM of 200, 360, 976 is 219600.

2. What are the Factors of 219600?

Answer: Factors of 219600 are . There are integers that are factors of 219600

3. How to Find the LCM of 200, 360, 976 ?

Least Common Multiple of 200, 360, 976.

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(200, 360, 976) = 2 x 2 x 2 x 2 x 3 x 3 x 5 x 5 x 61 = 219600.