Least Common Multiple of 507/91, 429/27, 598/767

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 507/91, 429/27, 598/767 quickly i.e. 256542 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 507/91, 429/27, 598/767 is 256542.

LCM(507/91, 429/27, 598/767) = 256542

LCM of 507/91, 429/27, 598/767

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 507/91,429/27,598/767

Given numbers are 507/91,429/27,598/767

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 507,429,598

Least Common Multiple of Numerators i.e. LCM of 507,429,598 is 256542.

GCF of Denominators means GCF of 91,27,767 as per the given fractions.

GCF of 91,27,767 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 507,429,598

LCM of Fractions 507/91,429/27,598/767 is 256542

3 507, 429, 598
13 169, 143, 598
13, 11, 46

∴ So the LCM of the given numbers is 3 x 13 x 13 x 11 x 46 = 256542

Least Common Multiple of 507,429,598 with GCF Formula

Least Common Multiple of 507,429,598 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 507,429,598 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(507,429,598) = 13

common factors(in case of two or more numbers have common factors) = 39

GCF(507,429,598) x common factors =13 x 39 = 507

LCM(507,429,598) = ( 507 × 429 × 598 ) / 507

LCM(507,429,598) = 130066794 / 507

LCM(507,429,598) = 256542


Lets's calculate GCF of 91,27,767

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 256542/1

Therefore the LCM of Fractions 507/91,429/27,598/767 is 256542

Greatest Common Factor of 91,27,767 By Matching Biggest Common Factor Method

Greatest Common Factor of 91,27,767 By Matching Biggest Common Factor Method

Factors of 91

List of positive integer factors of 91 that divides 91 without a remainder.

1,7,13,91

Factors of 27

List of positive integer factors of 27 that divides 27 without a remainder.

1,3,9,27

Factors of 767

List of positive integer factors of 767 that divides 767 without a remainder.

1,13,59,767

Greatest Common Factor

We found the factors 91,27,767 . The biggest common factor number is the GCF number.
So the greatest common factor 91,27,767 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 507/91, 429/27, 598/767

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 507/91, 429/27, 598/767?

Answer: LCM of Numerators as per given numbers 507/91, 429/27, 598/767 is

LCM of Numerators i.e. for 507,429,598 is 256542

GCF of denominators i.e. for 91,27,767 is 1.

Thus, LCM of Fractions is 256542.Finally, LCM of Fractions for 507/91, 429/27, 598/767 is 256542.