Least Common Multiple of 814, 444, 400

Q: How to Find the LCM of 814, 444, 400 ?

Least Common Multiple of 814, 444, 400 = 488400 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, 444, 400) = 2 x 2 x 2 x 2 x 3 x 5 x 5 x 11 x 37 = 488400.

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, 444, 400 i.e. 488400 smallest integer divisible by all numbers.

Least common multiple (LCM) of 814, 444, 400 is 488400.

LCM(814, 444, 400) = 488400

LCM of 814, 444, 400

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

Least Common Multiple of 814, 444, 400 by common division method
Least Common Multiple of 814, 444, 400 with GCF Formula

Least Common Multiple of 814,444,400

Least Common Multiple (LCM) of 814,444,400 is 488400

2	814, 444, 400
2	407, 222, 200
37	407, 111, 100
	11, 3, 100

∴ So the LCM of the given numbers is 2 x 2 x 37 x 11 x 3 x 100 = 488400

Least Common Multiple of 814,444,400 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 814,444,400 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(814,444,400) = 2

common factors(in case of two or more numbers have common factors) = 148

GCF(814,444,400) x common factors =2 x 148 = 296

LCM(814,444,400) = ( 814 × 444 × 400 ) / 296

LCM(814,444,400) = 144566400 / 296

LCM(814,444,400) = 488400

∴ Least Common Multiple of 814,444,400 is 488400

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, 444, 400

1. What is the LCM of 814, 444, 400?

Answer: LCM of 814, 444, 400 is 488400.

2. What are the Factors of 488400?

Answer: Factors of 488400 are . There are integers that are factors of 488400

3. How to Find the LCM of 814, 444, 400 ?

Least Common Multiple of 814, 444, 400.

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, 444, 400) = 2 x 2 x 2 x 2 x 3 x 5 x 5 x 11 x 37 = 488400.