Least Common Multiple of 75/813, 7617/1368

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 75/813, 7617/1368 quickly i.e. 63475 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 75/813, 7617/1368 is 63475.

LCM(75/813, 7617/1368) = 63475

LCM of 75/813, 7617/1368

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 75/813,7617/1368

Given numbers are 75/813,7617/1368

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 75,7617

Least Common Multiple of Numerators i.e. LCM of 75,7617 is 190425.

GCF of Denominators means GCF of 813,1368 as per the given fractions.

GCF of 813,1368 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 75,7617

LCM of Fractions 75/813,7617/1368 is 63475

3 75, 7617
25, 2539

∴ So the LCM of the given numbers is 3 x 25 x 2539 = 190425

Least Common Multiple of 75,7617 with GCF Formula

Least Common Multiple of 75,7617 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 75,7617 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(75,7617) = 3

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

GCF(75,7617) x common factors =3 x 1 = 3

LCM(75,7617) = ( 75 × 7617 ) / 3

LCM(75,7617) = 571275 / 3

LCM(75,7617) = 190425


Lets's calculate GCF of 813,1368

3 813, 1368
271, 456

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 190425/3

Therefore the LCM of Fractions 75/813,7617/1368 is 63475

Greatest Common Factor of 813,1368 By Matching Biggest Common Factor Method

Greatest Common Factor of 813,1368 By Matching Biggest Common Factor Method

Factors of 813

List of positive integer factors of 813 that divides 813 without a remainder.

1,3,271,813

Factors of 1368

List of positive integer factors of 1368 that divides 1368 without a remainder.

1,2,3,4,6,8,9,12,18,19,24,36,38,57,72,76,114,152,171,228,342,456,684,1368

Greatest Common Factor

We found the factors 813,1368 . The biggest common factor number is the GCF number.
So the greatest common factor 813,1368 is 3.


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 75/813, 7617/1368

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 75/813, 7617/1368?

Answer: LCM of Numerators as per given numbers 75/813, 7617/1368 is

LCM of Numerators i.e. for 75,7617 is 190425

GCF of denominators i.e. for 813,1368 is 3.

Thus, LCM of Fractions is 63475.Finally, LCM of Fractions for 75/813, 7617/1368 is 63475.