Least Common Multiple of 85/131, 470/588, 307/135

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 85/131, 470/588, 307/135 quickly i.e. 2452930 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 85/131, 470/588, 307/135 is 2452930.

LCM(85/131, 470/588, 307/135) = 2452930

LCM of 85/131, 470/588, 307/135

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 85/131,470/588,307/135

Given numbers are 85/131,470/588,307/135

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 85,470,307

Least Common Multiple of Numerators i.e. LCM of 85,470,307 is 2452930.

GCF of Denominators means GCF of 131,588,135 as per the given fractions.

GCF of 131,588,135 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 85,470,307

LCM of Fractions 85/131,470/588,307/135 is 2452930

5 85, 470, 307
17, 94, 307

∴ So the LCM of the given numbers is 5 x 17 x 94 x 307 = 2452930

Least Common Multiple of 85,470,307 with GCF Formula

Least Common Multiple of 85,470,307 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 85,470,307 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(85,470,307) = 1

common factors(in case of two or more numbers have common factors) = 5

GCF(85,470,307) x common factors =1 x 5 = 5

LCM(85,470,307) = ( 85 × 470 × 307 ) / 5

LCM(85,470,307) = 12264650 / 5

LCM(85,470,307) = 2452930


Lets's calculate GCF of 131,588,135

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2452930/1

Therefore the LCM of Fractions 85/131,470/588,307/135 is 2452930

Greatest Common Factor of 131,588,135 By Matching Biggest Common Factor Method

Greatest Common Factor of 131,588,135 By Matching Biggest Common Factor Method

Factors of 131

List of positive integer factors of 131 that divides 131 without a remainder.

1,131

Factors of 588

List of positive integer factors of 588 that divides 588 without a remainder.

1,2,3,4,6,7,12,14,21,28,42,49,84,98,147,196,294,588

Factors of 135

List of positive integer factors of 135 that divides 135 without a remainder.

1,3,5,9,15,27,45,135

Greatest Common Factor

We found the factors 131,588,135 . The biggest common factor number is the GCF number.
So the greatest common factor 131,588,135 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 85/131, 470/588, 307/135

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 85/131, 470/588, 307/135?

Answer: LCM of Numerators as per given numbers 85/131, 470/588, 307/135 is

LCM of Numerators i.e. for 85,470,307 is 2452930

GCF of denominators i.e. for 131,588,135 is 1.

Thus, LCM of Fractions is 2452930.Finally, LCM of Fractions for 85/131, 470/588, 307/135 is 2452930.