Least Common Multiple of 85, 400, 828

Q: How to Find the LCM of 85, 400, 828 ?

Least Common Multiple of 85, 400, 828 = 1407600 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(85, 400, 828) = 2 x 2 x 2 x 2 x 3 x 3 x 5 x 5 x 17 x 23 = 1407600.

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 85, 400, 828 i.e. 1407600 smallest integer divisible by all numbers.

Least common multiple (LCM) of 85, 400, 828 is 1407600.

LCM(85, 400, 828) = 1407600

LCM of 85, 400, 828

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

Least Common Multiple of 85, 400, 828 by common division method
Least Common Multiple of 85, 400, 828 with GCF Formula

Least Common Multiple of 85,400,828

Least Common Multiple (LCM) of 85,400,828 is 1407600

2	85, 400, 828
2	85, 200, 414
5	85, 100, 207
	17, 20, 207

∴ So the LCM of the given numbers is 2 x 2 x 5 x 17 x 20 x 207 = 1407600

Least Common Multiple of 85,400,828 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 85,400,828 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(85,400,828) = 1

common factors(in case of two or more numbers have common factors) = 20

GCF(85,400,828) x common factors =1 x 20 = 20

LCM(85,400,828) = ( 85 × 400 × 828 ) / 20

LCM(85,400,828) = 28152000 / 20

LCM(85,400,828) = 1407600

∴ Least Common Multiple of 85,400,828 is 1407600

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 85, 400, 828

1. What is the LCM of 85, 400, 828?

Answer: LCM of 85, 400, 828 is 1407600.

2. What are the Factors of 1407600?

Answer: Factors of 1407600 are . There are integers that are factors of 1407600

3. How to Find the LCM of 85, 400, 828 ?

Least Common Multiple of 85, 400, 828.

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(85, 400, 828) = 2 x 2 x 2 x 2 x 3 x 3 x 5 x 5 x 17 x 23 = 1407600.