Least Common Multiple of 13, 65, 60, 354

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, 65, 60, 354 i.e. 46020 smallest integer divisible by all numbers.

Least common multiple (LCM) of 13, 65, 60, 354 is 46020.

LCM(13, 65, 60, 354) = 46020

LCM of 13, 65, 60, 354

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

LCM of:

Least Common Multiple of 13,65,60,354

Least Common Multiple (LCM) of 13,65,60,354 is 46020

2 13, 65, 60, 354
3 13, 65, 30, 177
5 13, 65, 10, 59
13 13, 13, 2, 59
1, 1, 2, 59

∴ So the LCM of the given numbers is 2 x 3 x 5 x 13 x 1 x 1 x 2 x 59 = 46020

Least Common Multiple of 13,65,60,354 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 13,65,60,354 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(13,65,60,354) = 1

common factors(in case of two or more numbers have common factors) = 390

GCF(13,65,60,354) x common factors =1 x 390 = 390

LCM(13,65,60,354) = ( 13 × 65 × 60 × 354 ) / 390

LCM(13,65,60,354) = 17947800 / 390

LCM(13,65,60,354) = 46020

∴ Least Common Multiple of 13,65,60,354 is 46020

LCM of two or more Numbers Calculation Examples

Frequently Asked Questions on LCM of 13, 65, 60, 354

1. What is the LCM of 13, 65, 60, 354?

Answer: LCM of 13, 65, 60, 354 is 46020.

2. What are the Factors of 46020?

Answer: Factors of 46020 are . There are integers that are factors of 46020

3. How to Find the LCM of 13, 65, 60, 354 ?

Least Common Multiple of 13, 65, 60, 354.

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, 65, 60, 354) = 2 x 2 x 3 x 5 x 13 x 59 = 46020.