Least Common Multiple of 400, 355, 284

Q: How to Find the LCM of 400, 355, 284 ?

Least Common Multiple of 400, 355, 284 = 28400 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(400, 355, 284) = 2 x 2 x 2 x 2 x 5 x 5 x 71 = 28400.

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 400, 355, 284 i.e. 28400 smallest integer divisible by all numbers.

Least common multiple (LCM) of 400, 355, 284 is 28400.

LCM(400, 355, 284) = 28400

LCM of 400, 355, 284

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

Least Common Multiple of 400, 355, 284 by common division method
Least Common Multiple of 400, 355, 284 with GCF Formula

Least Common Multiple of 400,355,284

Least Common Multiple (LCM) of 400,355,284 is 28400

2	400, 355, 284
2	200, 355, 142
5	100, 355, 71
71	20, 71, 71
	20, 1, 1

∴ So the LCM of the given numbers is 2 x 2 x 5 x 71 x 20 x 1 x 1 = 28400

Least Common Multiple of 400,355,284 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 400,355,284 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(400,355,284) = 1

common factors(in case of two or more numbers have common factors) = 1420

GCF(400,355,284) x common factors =1 x 1420 = 1420

LCM(400,355,284) = ( 400 × 355 × 284 ) / 1420

LCM(400,355,284) = 40328000 / 1420

LCM(400,355,284) = 28400

∴ Least Common Multiple of 400,355,284 is 28400

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 400, 355, 284

1. What is the LCM of 400, 355, 284?

Answer: LCM of 400, 355, 284 is 28400.

2. What are the Factors of 28400?

Answer: Factors of 28400 are . There are integers that are factors of 28400

3. How to Find the LCM of 400, 355, 284 ?

Least Common Multiple of 400, 355, 284.

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(400, 355, 284) = 2 x 2 x 2 x 2 x 5 x 5 x 71 = 28400.