Least Common Multiple of 279/83, 671/81, 360/975

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 279/83, 671/81, 360/975 quickly i.e. 7488360 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 279/83, 671/81, 360/975 is 7488360.

LCM(279/83, 671/81, 360/975) = 7488360

LCM of 279/83, 671/81, 360/975

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 279/83,671/81,360/975

Given numbers are 279/83,671/81,360/975

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 279,671,360

Least Common Multiple of Numerators i.e. LCM of 279,671,360 is 7488360.

GCF of Denominators means GCF of 83,81,975 as per the given fractions.

GCF of 83,81,975 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 279,671,360

LCM of Fractions 279/83,671/81,360/975 is 7488360

3 279, 671, 360
3 93, 671, 120
31, 671, 40

∴ So the LCM of the given numbers is 3 x 3 x 31 x 671 x 40 = 7488360

Least Common Multiple of 279,671,360 with GCF Formula

Least Common Multiple of 279,671,360 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 279,671,360 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(279,671,360) = 1

common factors(in case of two or more numbers have common factors) = 9

GCF(279,671,360) x common factors =1 x 9 = 9

LCM(279,671,360) = ( 279 × 671 × 360 ) / 9

LCM(279,671,360) = 67395240 / 9

LCM(279,671,360) = 7488360


Lets's calculate GCF of 83,81,975

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 7488360/1

Therefore the LCM of Fractions 279/83,671/81,360/975 is 7488360

Greatest Common Factor of 83,81,975 By Matching Biggest Common Factor Method

Greatest Common Factor of 83,81,975 By Matching Biggest Common Factor Method

Factors of 83

List of positive integer factors of 83 that divides 83 without a remainder.

1,83

Factors of 81

List of positive integer factors of 81 that divides 81 without a remainder.

1,3,9,27,81

Factors of 975

List of positive integer factors of 975 that divides 975 without a remainder.

1,3,5,13,15,25,39,65,75,195,325,975

Greatest Common Factor

We found the factors 83,81,975 . The biggest common factor number is the GCF number.
So the greatest common factor 83,81,975 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 279/83, 671/81, 360/975

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 279/83, 671/81, 360/975?

Answer: LCM of Numerators as per given numbers 279/83, 671/81, 360/975 is

LCM of Numerators i.e. for 279,671,360 is 7488360

GCF of denominators i.e. for 83,81,975 is 1.

Thus, LCM of Fractions is 7488360.Finally, LCM of Fractions for 279/83, 671/81, 360/975 is 7488360.