Least Common Multiple of 643/15, 290/24, 713/356

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 643/15, 290/24, 713/356 quickly i.e. 132953110 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 643/15, 290/24, 713/356 is 132953110.

LCM(643/15, 290/24, 713/356) = 132953110

LCM of 643/15, 290/24, 713/356

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

LCM of:

Least Common Multiple of 643/15,290/24,713/356

Given numbers are 643/15,290/24,713/356

Formula to find LCM of Fractions is

LCM = LCM of Numerators/GCF of Denominators

As per the formula LCM of Fractions let’s split into two parts and find the LCM of Numerators and GCF of Denominators

In the given fractions LCM of Numerators means LCM of 643,290,713

Least Common Multiple of Numerators i.e. LCM of 643,290,713 is 132953110.

GCF of Denominators means GCF of 15,24,356 as per the given fractions.

GCF of 15,24,356 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 643,290,713

LCM of Fractions 643/15,290/24,713/356 is 132953110

Given numbers has no common factors except 1. So, there LCM is their product i.e 132953110

Least Common Multiple of 643,290,713 with GCF Formula

Least Common Multiple of 643,290,713 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 643,290,713 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(643,290,713) = 1

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

GCF(643,290,713) x common factors =1 x 1 = 1

LCM(643,290,713) = ( 643 × 290 × 713 ) / 1

LCM(643,290,713) = 132953110 / 1

LCM(643,290,713) = 132953110


Lets's calculate GCF of 15,24,356

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 132953110/1

Therefore the LCM of Fractions 643/15,290/24,713/356 is 132953110

Greatest Common Factor of 15,24,356 By Matching Biggest Common Factor Method

Greatest Common Factor of 15,24,356 By Matching Biggest Common Factor Method

Factors of 15

List of positive integer factors of 15 that divides 15 without a remainder.

1,3,5,15

Factors of 24

List of positive integer factors of 24 that divides 24 without a remainder.

1,2,3,4,6,8,12,24

Factors of 356

List of positive integer factors of 356 that divides 356 without a remainder.

1,2,4,89,178,356

Greatest Common Factor

We found the factors 15,24,356 . The biggest common factor number is the GCF number.
So the greatest common factor 15,24,356 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

Frequently Asked Questions on Fractional LCM of 643/15, 290/24, 713/356

1. How to find LCM in Fractions?

Answer: LCM of fractions can be found using the simple formula LCM of Fractions = LCM of Numerators/GCF of Denominators.

2. What is the LCM of Fractions for 643/15, 290/24, 713/356?

Answer: LCM of Numerators as per given numbers 643/15, 290/24, 713/356 is

LCM of Numerators i.e. for 643,290,713 is 132953110

GCF of denominators i.e. for 15,24,356 is 1.

Thus, LCM of Fractions is 132953110.Finally, LCM of Fractions for 643/15, 290/24, 713/356 is 132953110.