Least Common Multiple of 945/82, 137/29, 615/431

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 945/82, 137/29, 615/431 quickly i.e. 5308065 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 945/82, 137/29, 615/431 is 5308065.

LCM(945/82, 137/29, 615/431) = 5308065

LCM of 945/82, 137/29, 615/431

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 945/82,137/29,615/431

Given numbers are 945/82,137/29,615/431

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 945,137,615

Least Common Multiple of Numerators i.e. LCM of 945,137,615 is 5308065.

GCF of Denominators means GCF of 82,29,431 as per the given fractions.

GCF of 82,29,431 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 945,137,615

LCM of Fractions 945/82,137/29,615/431 is 5308065

3 945, 137, 615
5 315, 137, 205
63, 137, 41

∴ So the LCM of the given numbers is 3 x 5 x 63 x 137 x 41 = 5308065

Least Common Multiple of 945,137,615 with GCF Formula

Least Common Multiple of 945,137,615 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 945,137,615 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(945,137,615) = 1

common factors(in case of two or more numbers have common factors) = 15

GCF(945,137,615) x common factors =1 x 15 = 15

LCM(945,137,615) = ( 945 × 137 × 615 ) / 15

LCM(945,137,615) = 79620975 / 15

LCM(945,137,615) = 5308065


Lets's calculate GCF of 82,29,431

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5308065/1

Therefore the LCM of Fractions 945/82,137/29,615/431 is 5308065

Greatest Common Factor of 82,29,431 By Matching Biggest Common Factor Method

Greatest Common Factor of 82,29,431 By Matching Biggest Common Factor Method

Factors of 82

List of positive integer factors of 82 that divides 82 without a remainder.

1,2,41,82

Factors of 29

List of positive integer factors of 29 that divides 29 without a remainder.

1,29

Factors of 431

List of positive integer factors of 431 that divides 431 without a remainder.

1,431

Greatest Common Factor

We found the factors 82,29,431 . The biggest common factor number is the GCF number.
So the greatest common factor 82,29,431 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 945/82, 137/29, 615/431

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 945/82, 137/29, 615/431?

Answer: LCM of Numerators as per given numbers 945/82, 137/29, 615/431 is

LCM of Numerators i.e. for 945,137,615 is 5308065

GCF of denominators i.e. for 82,29,431 is 1.

Thus, LCM of Fractions is 5308065.Finally, LCM of Fractions for 945/82, 137/29, 615/431 is 5308065.