Least Common Multiple of 13, 49, 288

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 13, 49, 288 i.e. 183456 smallest integer divisible by all numbers.

Least common multiple (LCM) of 13, 49, 288 is 183456.

LCM(13, 49, 288) = 183456

LCM of 13, 49, 288

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

LCM of:

Least Common Multiple of 13,49,288

Least Common Multiple (LCM) of 13,49,288 is 183456

Given numbers has no common factors except 1. So, there LCM is their product i.e 183456

Least Common Multiple of 13,49,288 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 13,49,288 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(13,49,288) = 1

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

GCF(13,49,288) x common factors =1 x 1 = 1

LCM(13,49,288) = ( 13 × 49 × 288 ) / 1

LCM(13,49,288) = 183456 / 1

LCM(13,49,288) = 183456

∴ Least Common Multiple of 13,49,288 is 183456

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 13, 49, 288

1. What is the LCM of 13, 49, 288?

Answer: LCM of 13, 49, 288 is 183456.

2. What are the Factors of 183456?

Answer: Factors of 183456 are . There are integers that are factors of 183456

3. How to Find the LCM of 13, 49, 288 ?

Least Common Multiple of 13, 49, 288.

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(13, 49, 288) = 2 x 2 x 2 x 2 x 2 x 3 x 3 x 7 x 7 x 13 = 183456.