Least Common Multiple of 444, 407, 684

Q: How to Find the LCM of 444, 407, 684 ?

Least Common Multiple of 444, 407, 684 = 278388 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(444, 407, 684) = 2 x 2 x 3 x 3 x 11 x 19 x 37 = 278388.

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 444, 407, 684 i.e. 278388 smallest integer divisible by all numbers.

Least common multiple (LCM) of 444, 407, 684 is 278388.

LCM(444, 407, 684) = 278388

LCM of 444, 407, 684

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

Least Common Multiple of 444, 407, 684 by common division method
Least Common Multiple of 444, 407, 684 with GCF Formula

Least Common Multiple of 444,407,684

Least Common Multiple (LCM) of 444,407,684 is 278388

2	444, 407, 684
2	222, 407, 342
3	111, 407, 171
37	37, 407, 57
	1, 11, 57

∴ So the LCM of the given numbers is 2 x 2 x 3 x 37 x 1 x 11 x 57 = 278388

Least Common Multiple of 444,407,684 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 444,407,684 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(444,407,684) = 1

common factors(in case of two or more numbers have common factors) = 444

GCF(444,407,684) x common factors =1 x 444 = 444

LCM(444,407,684) = ( 444 × 407 × 684 ) / 444

LCM(444,407,684) = 123604272 / 444

LCM(444,407,684) = 278388

∴ Least Common Multiple of 444,407,684 is 278388

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 444, 407, 684

1. What is the LCM of 444, 407, 684?

Answer: LCM of 444, 407, 684 is 278388.

2. What are the Factors of 278388?

Answer: Factors of 278388 are . There are integers that are factors of 278388

3. How to Find the LCM of 444, 407, 684 ?

Least Common Multiple of 444, 407, 684.

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(444, 407, 684) = 2 x 2 x 3 x 3 x 11 x 19 x 37 = 278388.