Least Common Multiple of 814, 400, 476

Q: How to Find the LCM of 814, 400, 476 ?

Least Common Multiple of 814, 400, 476 = 19373200 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(814, 400, 476) = 2 x 2 x 2 x 2 x 5 x 5 x 7 x 11 x 17 x 37 = 19373200.

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 814, 400, 476 i.e. 19373200 smallest integer divisible by all numbers.

Least common multiple (LCM) of 814, 400, 476 is 19373200.

LCM(814, 400, 476) = 19373200

LCM of 814, 400, 476

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

Least Common Multiple of 814, 400, 476 by common division method
Least Common Multiple of 814, 400, 476 with GCF Formula

Least Common Multiple of 814,400,476

Least Common Multiple (LCM) of 814,400,476 is 19373200

2	814, 400, 476
2	407, 200, 238
	407, 100, 119

∴ So the LCM of the given numbers is 2 x 2 x 407 x 100 x 119 = 19373200

Least Common Multiple of 814,400,476 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 814,400,476 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(814,400,476) = 2

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

GCF(814,400,476) x common factors =2 x 4 = 8

LCM(814,400,476) = ( 814 × 400 × 476 ) / 8

LCM(814,400,476) = 154985600 / 8

LCM(814,400,476) = 19373200

∴ Least Common Multiple of 814,400,476 is 19373200

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 814, 400, 476

1. What is the LCM of 814, 400, 476?

Answer: LCM of 814, 400, 476 is 19373200.

2. What are the Factors of 19373200?

Answer: Factors of 19373200 are . There are integers that are factors of 19373200

3. How to Find the LCM of 814, 400, 476 ?

Least Common Multiple of 814, 400, 476.

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(814, 400, 476) = 2 x 2 x 2 x 2 x 5 x 5 x 7 x 11 x 17 x 37 = 19373200.