Least Common Multiple of 465/875, 393/771

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 465/875, 393/771 quickly i.e. 60915 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 465/875, 393/771 is 60915.

LCM(465/875, 393/771) = 60915

LCM of 465/875, 393/771

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 465/875,393/771

Given numbers are 465/875,393/771

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 465,393

Least Common Multiple of Numerators i.e. LCM of 465,393 is 60915.

GCF of Denominators means GCF of 875,771 as per the given fractions.

GCF of 875,771 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 465,393

LCM of Fractions 465/875,393/771 is 60915

3 465, 393
155, 131

∴ So the LCM of the given numbers is 3 x 155 x 131 = 60915

Least Common Multiple of 465,393 with GCF Formula

Least Common Multiple of 465,393 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 465,393 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(465,393) = 3

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

GCF(465,393) x common factors =3 x 1 = 3

LCM(465,393) = ( 465 × 393 ) / 3

LCM(465,393) = 182745 / 3

LCM(465,393) = 60915


Lets's calculate GCF of 875,771

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 60915/1

Therefore the LCM of Fractions 465/875,393/771 is 60915

Greatest Common Factor of 875,771 By Matching Biggest Common Factor Method

Greatest Common Factor of 875,771 By Matching Biggest Common Factor Method

Factors of 875

List of positive integer factors of 875 that divides 875 without a remainder.

1,5,7,25,35,125,175,875

Factors of 771

List of positive integer factors of 771 that divides 771 without a remainder.

1,3,257,771

Greatest Common Factor

We found the factors 875,771 . The biggest common factor number is the GCF number.
So the greatest common factor 875,771 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 465/875, 393/771

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 465/875, 393/771?

Answer: LCM of Numerators as per given numbers 465/875, 393/771 is

LCM of Numerators i.e. for 465,393 is 60915

GCF of denominators i.e. for 875,771 is 1.

Thus, LCM of Fractions is 60915.Finally, LCM of Fractions for 465/875, 393/771 is 60915.