Least Common Multiple of 364, 400, 823

Q: How to Find the LCM of 364, 400, 823 ?

Least Common Multiple of 364, 400, 823 = 29957200 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(364, 400, 823) = 2 x 2 x 2 x 2 x 5 x 5 x 7 x 13 x 823 = 29957200.

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 364, 400, 823 i.e. 29957200 smallest integer divisible by all numbers.

Least common multiple (LCM) of 364, 400, 823 is 29957200.

LCM(364, 400, 823) = 29957200

LCM of 364, 400, 823

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

Least Common Multiple of 364, 400, 823 by common division method
Least Common Multiple of 364, 400, 823 with GCF Formula

Least Common Multiple of 364,400,823

Least Common Multiple (LCM) of 364,400,823 is 29957200

2	364, 400, 823
2	182, 200, 823
	91, 100, 823

∴ So the LCM of the given numbers is 2 x 2 x 91 x 100 x 823 = 29957200

Least Common Multiple of 364,400,823 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 364,400,823 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(364,400,823) = 1

common factors(in case of two or more numbers have common factors) = 4

GCF(364,400,823) x common factors =1 x 4 = 4

LCM(364,400,823) = ( 364 × 400 × 823 ) / 4

LCM(364,400,823) = 119828800 / 4

LCM(364,400,823) = 29957200

∴ Least Common Multiple of 364,400,823 is 29957200

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 364, 400, 823

1. What is the LCM of 364, 400, 823?

Answer: LCM of 364, 400, 823 is 29957200.

2. What are the Factors of 29957200?

Answer: Factors of 29957200 are . There are integers that are factors of 29957200

3. How to Find the LCM of 364, 400, 823 ?

Least Common Multiple of 364, 400, 823.

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(364, 400, 823) = 2 x 2 x 2 x 2 x 5 x 5 x 7 x 13 x 823 = 29957200.