Least Common Multiple of 74/625, 86/157, 113/237

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 74/625, 86/157, 113/237 quickly i.e. 359566 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 74/625, 86/157, 113/237 is 359566.

LCM(74/625, 86/157, 113/237) = 359566

LCM of 74/625, 86/157, 113/237

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 74/625,86/157,113/237

Given numbers are 74/625,86/157,113/237

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 74,86,113

Least Common Multiple of Numerators i.e. LCM of 74,86,113 is 359566.

GCF of Denominators means GCF of 625,157,237 as per the given fractions.

GCF of 625,157,237 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 74,86,113

LCM of Fractions 74/625,86/157,113/237 is 359566

2 74, 86, 113
37, 43, 113

∴ So the LCM of the given numbers is 2 x 37 x 43 x 113 = 359566

Least Common Multiple of 74,86,113 with GCF Formula

Least Common Multiple of 74,86,113 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 74,86,113 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(74,86,113) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(74,86,113) x common factors =1 x 2 = 2

LCM(74,86,113) = ( 74 × 86 × 113 ) / 2

LCM(74,86,113) = 719132 / 2

LCM(74,86,113) = 359566


Lets's calculate GCF of 625,157,237

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 359566/1

Therefore the LCM of Fractions 74/625,86/157,113/237 is 359566

Greatest Common Factor of 625,157,237 By Matching Biggest Common Factor Method

Greatest Common Factor of 625,157,237 By Matching Biggest Common Factor Method

Factors of 625

List of positive integer factors of 625 that divides 625 without a remainder.

1,5,25,125,625

Factors of 157

List of positive integer factors of 157 that divides 157 without a remainder.

1,157

Factors of 237

List of positive integer factors of 237 that divides 237 without a remainder.

1,3,79,237

Greatest Common Factor

We found the factors 625,157,237 . The biggest common factor number is the GCF number.
So the greatest common factor 625,157,237 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 74/625, 86/157, 113/237

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 74/625, 86/157, 113/237?

Answer: LCM of Numerators as per given numbers 74/625, 86/157, 113/237 is

LCM of Numerators i.e. for 74,86,113 is 359566

GCF of denominators i.e. for 625,157,237 is 1.

Thus, LCM of Fractions is 359566.Finally, LCM of Fractions for 74/625, 86/157, 113/237 is 359566.