Least Common Multiple of 746/57, 878/21, 107/760

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 746/57, 878/21, 107/760 quickly i.e. 35041858 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 746/57, 878/21, 107/760 is 35041858.

LCM(746/57, 878/21, 107/760) = 35041858

LCM of 746/57, 878/21, 107/760

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 746/57,878/21,107/760

Given numbers are 746/57,878/21,107/760

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 746,878,107

Least Common Multiple of Numerators i.e. LCM of 746,878,107 is 35041858.

GCF of Denominators means GCF of 57,21,760 as per the given fractions.

GCF of 57,21,760 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 746,878,107

LCM of Fractions 746/57,878/21,107/760 is 35041858

2 746, 878, 107
373, 439, 107

∴ So the LCM of the given numbers is 2 x 373 x 439 x 107 = 35041858

Least Common Multiple of 746,878,107 with GCF Formula

Least Common Multiple of 746,878,107 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 746,878,107 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(746,878,107) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(746,878,107) x common factors =1 x 2 = 2

LCM(746,878,107) = ( 746 × 878 × 107 ) / 2

LCM(746,878,107) = 70083716 / 2

LCM(746,878,107) = 35041858


Lets's calculate GCF of 57,21,760

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 35041858/1

Therefore the LCM of Fractions 746/57,878/21,107/760 is 35041858

Greatest Common Factor of 57,21,760 By Matching Biggest Common Factor Method

Greatest Common Factor of 57,21,760 By Matching Biggest Common Factor Method

Factors of 57

List of positive integer factors of 57 that divides 57 without a remainder.

1,3,19,57

Factors of 21

List of positive integer factors of 21 that divides 21 without a remainder.

1,3,7,21

Factors of 760

List of positive integer factors of 760 that divides 760 without a remainder.

1,2,4,5,8,10,19,20,38,40,76,95,152,190,380,760

Greatest Common Factor

We found the factors 57,21,760 . The biggest common factor number is the GCF number.
So the greatest common factor 57,21,760 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 746/57, 878/21, 107/760

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 746/57, 878/21, 107/760?

Answer: LCM of Numerators as per given numbers 746/57, 878/21, 107/760 is

LCM of Numerators i.e. for 746,878,107 is 35041858

GCF of denominators i.e. for 57,21,760 is 1.

Thus, LCM of Fractions is 35041858.Finally, LCM of Fractions for 746/57, 878/21, 107/760 is 35041858.