Least Common Multiple of 908/251, 507/738

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 908/251, 507/738 quickly i.e. 460356 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 908/251, 507/738 is 460356.

LCM(908/251, 507/738) = 460356

LCM of 908/251, 507/738

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 908/251,507/738

Given numbers are 908/251,507/738

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 908,507

Least Common Multiple of Numerators i.e. LCM of 908,507 is 460356.

GCF of Denominators means GCF of 251,738 as per the given fractions.

GCF of 251,738 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 908,507

LCM of Fractions 908/251,507/738 is 460356

Given numbers has no common factors except 1. So, there LCM is their product i.e 460356

Least Common Multiple of 908,507 with GCF Formula

Least Common Multiple of 908,507 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 908,507 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(908,507) = 1

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

GCF(908,507) x common factors =1 x 1 = 1

LCM(908,507) = ( 908 × 507 ) / 1

LCM(908,507) = 460356 / 1

LCM(908,507) = 460356


Lets's calculate GCF of 251,738

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 460356/1

Therefore the LCM of Fractions 908/251,507/738 is 460356

Greatest Common Factor of 251,738 By Matching Biggest Common Factor Method

Greatest Common Factor of 251,738 By Matching Biggest Common Factor Method

Factors of 251

List of positive integer factors of 251 that divides 251 without a remainder.

1,251

Factors of 738

List of positive integer factors of 738 that divides 738 without a remainder.

1,2,3,6,9,18,41,82,123,246,369,738

Greatest Common Factor

We found the factors 251,738 . The biggest common factor number is the GCF number.
So the greatest common factor 251,738 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 908/251, 507/738

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 908/251, 507/738?

Answer: LCM of Numerators as per given numbers 908/251, 507/738 is

LCM of Numerators i.e. for 908,507 is 460356

GCF of denominators i.e. for 251,738 is 1.

Thus, LCM of Fractions is 460356.Finally, LCM of Fractions for 908/251, 507/738 is 460356.