Least Common Multiple of 766/915, 431/374, 893/735

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 766/915, 431/374, 893/735 quickly i.e. 294820378 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 766/915, 431/374, 893/735 is 294820378.

LCM(766/915, 431/374, 893/735) = 294820378

LCM of 766/915, 431/374, 893/735

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 766/915,431/374,893/735

Given numbers are 766/915,431/374,893/735

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 766,431,893

Least Common Multiple of Numerators i.e. LCM of 766,431,893 is 294820378.

GCF of Denominators means GCF of 915,374,735 as per the given fractions.

GCF of 915,374,735 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 766,431,893

LCM of Fractions 766/915,431/374,893/735 is 294820378

Given numbers has no common factors except 1. So, there LCM is their product i.e 294820378

Least Common Multiple of 766,431,893 with GCF Formula

Least Common Multiple of 766,431,893 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 766,431,893 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(766,431,893) = 1

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

GCF(766,431,893) x common factors =1 x 1 = 1

LCM(766,431,893) = ( 766 × 431 × 893 ) / 1

LCM(766,431,893) = 294820378 / 1

LCM(766,431,893) = 294820378


Lets's calculate GCF of 915,374,735

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 294820378/1

Therefore the LCM of Fractions 766/915,431/374,893/735 is 294820378

Greatest Common Factor of 915,374,735 By Matching Biggest Common Factor Method

Greatest Common Factor of 915,374,735 By Matching Biggest Common Factor Method

Factors of 915

List of positive integer factors of 915 that divides 915 without a remainder.

1,3,5,15,61,183,305,915

Factors of 374

List of positive integer factors of 374 that divides 374 without a remainder.

1,2,11,17,22,34,187,374

Factors of 735

List of positive integer factors of 735 that divides 735 without a remainder.

1,3,5,7,15,21,35,49,105,147,245,735

Greatest Common Factor

We found the factors 915,374,735 . The biggest common factor number is the GCF number.
So the greatest common factor 915,374,735 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 766/915, 431/374, 893/735

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 766/915, 431/374, 893/735?

Answer: LCM of Numerators as per given numbers 766/915, 431/374, 893/735 is

LCM of Numerators i.e. for 766,431,893 is 294820378

GCF of denominators i.e. for 915,374,735 is 1.

Thus, LCM of Fractions is 294820378.Finally, LCM of Fractions for 766/915, 431/374, 893/735 is 294820378.