Least Common Multiple of 507/37, 997/61, 715/254

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 507/37, 997/61, 715/254 quickly i.e. 27801345 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 507/37, 997/61, 715/254 is 27801345.

LCM(507/37, 997/61, 715/254) = 27801345

LCM of 507/37, 997/61, 715/254

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 507/37,997/61,715/254

Given numbers are 507/37,997/61,715/254

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 507,997,715

Least Common Multiple of Numerators i.e. LCM of 507,997,715 is 27801345.

GCF of Denominators means GCF of 37,61,254 as per the given fractions.

GCF of 37,61,254 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 507,997,715

LCM of Fractions 507/37,997/61,715/254 is 27801345

13 507, 997, 715
39, 997, 55

∴ So the LCM of the given numbers is 13 x 39 x 997 x 55 = 27801345

Least Common Multiple of 507,997,715 with GCF Formula

Least Common Multiple of 507,997,715 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 507,997,715 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(507,997,715) = 1

common factors(in case of two or more numbers have common factors) = 13

GCF(507,997,715) x common factors =1 x 13 = 13

LCM(507,997,715) = ( 507 × 997 × 715 ) / 13

LCM(507,997,715) = 361417485 / 13

LCM(507,997,715) = 27801345


Lets's calculate GCF of 37,61,254

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 27801345/1

Therefore the LCM of Fractions 507/37,997/61,715/254 is 27801345

Greatest Common Factor of 37,61,254 By Matching Biggest Common Factor Method

Greatest Common Factor of 37,61,254 By Matching Biggest Common Factor Method

Factors of 37

List of positive integer factors of 37 that divides 37 without a remainder.

1,37

Factors of 61

List of positive integer factors of 61 that divides 61 without a remainder.

1,61

Factors of 254

List of positive integer factors of 254 that divides 254 without a remainder.

1,2,127,254

Greatest Common Factor

We found the factors 37,61,254 . The biggest common factor number is the GCF number.
So the greatest common factor 37,61,254 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 507/37, 997/61, 715/254

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 507/37, 997/61, 715/254?

Answer: LCM of Numerators as per given numbers 507/37, 997/61, 715/254 is

LCM of Numerators i.e. for 507,997,715 is 27801345

GCF of denominators i.e. for 37,61,254 is 1.

Thus, LCM of Fractions is 27801345.Finally, LCM of Fractions for 507/37, 997/61, 715/254 is 27801345.