Least Common Multiple of 400, 840, 688

Q: How to Find the LCM of 400, 840, 688 ?

Least Common Multiple of 400, 840, 688 = 361200 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, 840, 688) = 2 x 2 x 2 x 2 x 3 x 5 x 5 x 7 x 43 = 361200.

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, 840, 688 i.e. 361200 smallest integer divisible by all numbers.

Least common multiple (LCM) of 400, 840, 688 is 361200.

LCM(400, 840, 688) = 361200

LCM of 400, 840, 688

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

Least Common Multiple of 400, 840, 688 by common division method
Least Common Multiple of 400, 840, 688 with GCF Formula

Least Common Multiple of 400,840,688

Least Common Multiple (LCM) of 400,840,688 is 361200

2	400, 840, 688
2	200, 420, 344
2	100, 210, 172
2	50, 105, 86
5	25, 105, 43
	5, 21, 43

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 5 x 5 x 21 x 43 = 361200

Least Common Multiple of 400,840,688 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 400,840,688 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(400,840,688) = 8

common factors(in case of two or more numbers have common factors) = 80

GCF(400,840,688) x common factors =8 x 80 = 640

LCM(400,840,688) = ( 400 × 840 × 688 ) / 640

LCM(400,840,688) = 231168000 / 640

LCM(400,840,688) = 361200

∴ Least Common Multiple of 400,840,688 is 361200

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, 840, 688

1. What is the LCM of 400, 840, 688?

Answer: LCM of 400, 840, 688 is 361200.

2. What are the Factors of 361200?

Answer: Factors of 361200 are . There are integers that are factors of 361200

3. How to Find the LCM of 400, 840, 688 ?

Least Common Multiple of 400, 840, 688.

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, 840, 688) = 2 x 2 x 2 x 2 x 3 x 5 x 5 x 7 x 43 = 361200.