Least Common Multiple of 868, 390, 600

Q: How to Find the LCM of 868, 390, 600 ?

Least Common Multiple of 868, 390, 600 = 1692600 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(868, 390, 600) = 2 x 2 x 2 x 3 x 5 x 5 x 7 x 13 x 31 = 1692600.

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 868, 390, 600 i.e. 1692600 smallest integer divisible by all numbers.

Least common multiple (LCM) of 868, 390, 600 is 1692600.

LCM(868, 390, 600) = 1692600

LCM of 868, 390, 600

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

Least Common Multiple of 868, 390, 600 by common division method
Least Common Multiple of 868, 390, 600 with GCF Formula

Least Common Multiple of 868,390,600

Least Common Multiple (LCM) of 868,390,600 is 1692600

2	868, 390, 600
2	434, 195, 300
3	217, 195, 150
5	217, 65, 50
	217, 13, 10

∴ So the LCM of the given numbers is 2 x 2 x 3 x 5 x 217 x 13 x 10 = 1692600

Least Common Multiple of 868,390,600 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 868,390,600 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(868,390,600) = 2

common factors(in case of two or more numbers have common factors) = 60

GCF(868,390,600) x common factors =2 x 60 = 120

LCM(868,390,600) = ( 868 × 390 × 600 ) / 120

LCM(868,390,600) = 203112000 / 120

LCM(868,390,600) = 1692600

∴ Least Common Multiple of 868,390,600 is 1692600

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 868, 390, 600

1. What is the LCM of 868, 390, 600?

Answer: LCM of 868, 390, 600 is 1692600.

2. What are the Factors of 1692600?

Answer: Factors of 1692600 are . There are integers that are factors of 1692600

3. How to Find the LCM of 868, 390, 600 ?

Least Common Multiple of 868, 390, 600.

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(868, 390, 600) = 2 x 2 x 2 x 3 x 5 x 5 x 7 x 13 x 31 = 1692600.