Least Common Multiple of 7968/375, 5067/945

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 7968/375, 5067/945 quickly i.e. 13457952/15 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 7968/375, 5067/945 is 13457952/15.

LCM(7968/375, 5067/945) = 13457952/15

LCM of 7968/375, 5067/945

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 7968/375,5067/945

Given numbers are 7968/375,5067/945

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 7968,5067

Least Common Multiple of Numerators i.e. LCM of 7968,5067 is 13457952.

GCF of Denominators means GCF of 375,945 as per the given fractions.

GCF of 375,945 is 15 as it is the largest common factor for these numbers.

Lets's calculate LCM of 7968,5067

LCM of Fractions 7968/375,5067/945 is 13457952/15

3 7968, 5067
2656, 1689

∴ So the LCM of the given numbers is 3 x 2656 x 1689 = 13457952

Least Common Multiple of 7968,5067 with GCF Formula

Least Common Multiple of 7968,5067 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 7968,5067 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(7968,5067) = 3

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

GCF(7968,5067) x common factors =3 x 1 = 3

LCM(7968,5067) = ( 7968 × 5067 ) / 3

LCM(7968,5067) = 40373856 / 3

LCM(7968,5067) = 13457952


Lets's calculate GCF of 375,945

3 375, 945
5 125, 315
25, 63

∴ So the GCF of the given numbers is 3 x 5 = 15

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 13457952/15

Therefore the LCM of Fractions 7968/375,5067/945 is 13457952/15

Greatest Common Factor of 375,945 By Matching Biggest Common Factor Method

Greatest Common Factor of 375,945 By Matching Biggest Common Factor Method

Factors of 375

List of positive integer factors of 375 that divides 375 without a remainder.

1,3,5,15,25,75,125,375

Factors of 945

List of positive integer factors of 945 that divides 945 without a remainder.

1,3,5,7,9,15,21,27,35,45,63,105,135,189,315,945

Greatest Common Factor

We found the factors 375,945 . The biggest common factor number is the GCF number.
So the greatest common factor 375,945 is 15.


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 7968/375, 5067/945

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 7968/375, 5067/945?

Answer: LCM of Numerators as per given numbers 7968/375, 5067/945 is

LCM of Numerators i.e. for 7968,5067 is 13457952

GCF of denominators i.e. for 375,945 is 15.

Thus, LCM of Fractions is 13457952/15.Finally, LCM of Fractions for 7968/375, 5067/945 is 13457952/15.