Least Common Multiple of 23/136, 75/530, 813/617

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 23/136, 75/530, 813/617 quickly i.e. 467475 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 23/136, 75/530, 813/617 is 467475.

LCM(23/136, 75/530, 813/617) = 467475

LCM of 23/136, 75/530, 813/617

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 23/136,75/530,813/617

Given numbers are 23/136,75/530,813/617

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 23,75,813

Least Common Multiple of Numerators i.e. LCM of 23,75,813 is 467475.

GCF of Denominators means GCF of 136,530,617 as per the given fractions.

GCF of 136,530,617 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 23,75,813

LCM of Fractions 23/136,75/530,813/617 is 467475

3 23, 75, 813
23, 25, 271

∴ So the LCM of the given numbers is 3 x 23 x 25 x 271 = 467475

Least Common Multiple of 23,75,813 with GCF Formula

Least Common Multiple of 23,75,813 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 23,75,813 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(23,75,813) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(23,75,813) x common factors =1 x 3 = 3

LCM(23,75,813) = ( 23 × 75 × 813 ) / 3

LCM(23,75,813) = 1402425 / 3

LCM(23,75,813) = 467475


Lets's calculate GCF of 136,530,617

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 467475/1

Therefore the LCM of Fractions 23/136,75/530,813/617 is 467475

Greatest Common Factor of 136,530,617 By Matching Biggest Common Factor Method

Greatest Common Factor of 136,530,617 By Matching Biggest Common Factor Method

Factors of 136

List of positive integer factors of 136 that divides 136 without a remainder.

1,2,4,8,17,34,68,136

Factors of 530

List of positive integer factors of 530 that divides 530 without a remainder.

1,2,5,10,53,106,265,530

Factors of 617

List of positive integer factors of 617 that divides 617 without a remainder.

1,617

Greatest Common Factor

We found the factors 136,530,617 . The biggest common factor number is the GCF number.
So the greatest common factor 136,530,617 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 23/136, 75/530, 813/617

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 23/136, 75/530, 813/617?

Answer: LCM of Numerators as per given numbers 23/136, 75/530, 813/617 is

LCM of Numerators i.e. for 23,75,813 is 467475

GCF of denominators i.e. for 136,530,617 is 1.

Thus, LCM of Fractions is 467475.Finally, LCM of Fractions for 23/136, 75/530, 813/617 is 467475.