Least Common Multiple of 507/76, 970/285

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 507/76, 970/285 quickly i.e. 491790/19 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 507/76, 970/285 is 491790/19.

LCM(507/76, 970/285) = 491790/19

LCM of 507/76, 970/285

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 507/76,970/285

Given numbers are 507/76,970/285

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 507,970

Least Common Multiple of Numerators i.e. LCM of 507,970 is 491790.

GCF of Denominators means GCF of 76,285 as per the given fractions.

GCF of 76,285 is 19 as it is the largest common factor for these numbers.

Lets's calculate LCM of 507,970

LCM of Fractions 507/76,970/285 is 491790/19

Given numbers has no common factors except 1. So, there LCM is their product i.e 491790

Least Common Multiple of 507,970 with GCF Formula

Least Common Multiple of 507,970 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 507,970 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(507,970) = 1

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

GCF(507,970) x common factors =1 x 1 = 1

LCM(507,970) = ( 507 × 970 ) / 1

LCM(507,970) = 491790 / 1

LCM(507,970) = 491790


Lets's calculate GCF of 76,285

19 76, 285
4, 15

∴ So the GCF of the given numbers is 19 = 19

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 491790/19

Therefore the LCM of Fractions 507/76,970/285 is 491790/19

Greatest Common Factor of 76,285 By Matching Biggest Common Factor Method

Greatest Common Factor of 76,285 By Matching Biggest Common Factor Method

Factors of 76

List of positive integer factors of 76 that divides 76 without a remainder.

1,2,4,19,38,76

Factors of 285

List of positive integer factors of 285 that divides 285 without a remainder.

1,3,5,15,19,57,95,285

Greatest Common Factor

We found the factors 76,285 . The biggest common factor number is the GCF number.
So the greatest common factor 76,285 is 19.


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 507/76, 970/285

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 507/76, 970/285?

Answer: LCM of Numerators as per given numbers 507/76, 970/285 is

LCM of Numerators i.e. for 507,970 is 491790

GCF of denominators i.e. for 76,285 is 19.

Thus, LCM of Fractions is 491790/19.Finally, LCM of Fractions for 507/76, 970/285 is 491790/19.