Least Common Multiple of 208, 584

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, 584 i.e. 15184 smallest integer divisible by all numbers.

Least common multiple (LCM) of 208, 584 is 15184.

LCM(208, 584) = 15184

LCM of 208, 584

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

LCM of:

Least Common Multiple of 208,584

Least Common Multiple (LCM) of 208,584 is 15184

2 208, 584
2 104, 292
2 52, 146
26, 73

∴ So the LCM of the given numbers is 2 x 2 x 2 x 26 x 73 = 15184

Least Common Multiple of 208,584 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 208,584 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(208,584) = 8

common factors(in case of two or more numbers have common factors) = 1

GCF(208,584) x common factors =8 x 1 = 8

LCM(208,584) = ( 208 × 584 ) / 8

LCM(208,584) = 121472 / 8

LCM(208,584) = 15184

∴ Least Common Multiple of 208,584 is 15184

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, 584

1. What is the LCM of 208, 584?

Answer: LCM of 208, 584 is 15184.

2. What are the Factors of 15184?

Answer: Factors of 15184 are . There are integers that are factors of 15184

3. How to Find the LCM of 208, 584 ?

Least Common Multiple of 208, 584.

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, 584) = 2 x 2 x 2 x 2 x 13 x 73 = 15184.