Least Common Multiple of 208, 988, 360

Q: How to Find the LCM of 208, 988, 360 ?

Least Common Multiple of 208, 988, 360 = 177840 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(208, 988, 360) = 2 x 2 x 2 x 2 x 3 x 3 x 5 x 13 x 19 = 177840.

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 208, 988, 360 i.e. 177840 smallest integer divisible by all numbers.

Least common multiple (LCM) of 208, 988, 360 is 177840.

LCM(208, 988, 360) = 177840

LCM of 208, 988, 360

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

Least Common Multiple of 208, 988, 360 by common division method
Least Common Multiple of 208, 988, 360 with GCF Formula

Least Common Multiple of 208,988,360

Least Common Multiple (LCM) of 208,988,360 is 177840

2	208, 988, 360
2	104, 494, 180
2	52, 247, 90
13	26, 247, 45
	2, 19, 45

∴ So the LCM of the given numbers is 2 x 2 x 2 x 13 x 2 x 19 x 45 = 177840

Least Common Multiple of 208,988,360 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 208,988,360 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(208,988,360) = 4

common factors(in case of two or more numbers have common factors) = 104

GCF(208,988,360) x common factors =4 x 104 = 416

LCM(208,988,360) = ( 208 × 988 × 360 ) / 416

LCM(208,988,360) = 73981440 / 416

LCM(208,988,360) = 177840

∴ Least Common Multiple of 208,988,360 is 177840

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 208, 988, 360

1. What is the LCM of 208, 988, 360?

Answer: LCM of 208, 988, 360 is 177840.

2. What are the Factors of 177840?

Answer: Factors of 177840 are . There are integers that are factors of 177840

3. How to Find the LCM of 208, 988, 360 ?

Least Common Multiple of 208, 988, 360.

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(208, 988, 360) = 2 x 2 x 2 x 2 x 3 x 3 x 5 x 13 x 19 = 177840.