Least Common Multiple of 254/781, 537/415

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 254/781, 537/415 quickly i.e. 136398 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 254/781, 537/415 is 136398.

LCM(254/781, 537/415) = 136398

LCM of 254/781, 537/415

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 254/781,537/415

Given numbers are 254/781,537/415

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 254,537

Least Common Multiple of Numerators i.e. LCM of 254,537 is 136398.

GCF of Denominators means GCF of 781,415 as per the given fractions.

GCF of 781,415 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 254,537

LCM of Fractions 254/781,537/415 is 136398

Given numbers has no common factors except 1. So, there LCM is their product i.e 136398

Least Common Multiple of 254,537 with GCF Formula

Least Common Multiple of 254,537 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 254,537 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(254,537) = 1

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

GCF(254,537) x common factors =1 x 1 = 1

LCM(254,537) = ( 254 × 537 ) / 1

LCM(254,537) = 136398 / 1

LCM(254,537) = 136398


Lets's calculate GCF of 781,415

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 136398/1

Therefore the LCM of Fractions 254/781,537/415 is 136398

Greatest Common Factor of 781,415 By Matching Biggest Common Factor Method

Greatest Common Factor of 781,415 By Matching Biggest Common Factor Method

Factors of 781

List of positive integer factors of 781 that divides 781 without a remainder.

1,11,71,781

Factors of 415

List of positive integer factors of 415 that divides 415 without a remainder.

1,5,83,415

Greatest Common Factor

We found the factors 781,415 . The biggest common factor number is the GCF number.
So the greatest common factor 781,415 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 254/781, 537/415

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 254/781, 537/415?

Answer: LCM of Numerators as per given numbers 254/781, 537/415 is

LCM of Numerators i.e. for 254,537 is 136398

GCF of denominators i.e. for 781,415 is 1.

Thus, LCM of Fractions is 136398.Finally, LCM of Fractions for 254/781, 537/415 is 136398.