Least Common Multiple of 772/40, 565/12, 935/742

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 772/40, 565/12, 935/742 quickly i.e. 40782830 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 772/40, 565/12, 935/742 is 40782830.

LCM(772/40, 565/12, 935/742) = 40782830

LCM of 772/40, 565/12, 935/742

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 772/40,565/12,935/742

Given numbers are 772/40,565/12,935/742

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 772,565,935

Least Common Multiple of Numerators i.e. LCM of 772,565,935 is 81565660.

GCF of Denominators means GCF of 40,12,742 as per the given fractions.

GCF of 40,12,742 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 772,565,935

LCM of Fractions 772/40,565/12,935/742 is 40782830

5 772, 565, 935
772, 113, 187

∴ So the LCM of the given numbers is 5 x 772 x 113 x 187 = 81565660

Least Common Multiple of 772,565,935 with GCF Formula

Least Common Multiple of 772,565,935 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 772,565,935 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(772,565,935) = 1

common factors(in case of two or more numbers have common factors) = 5

GCF(772,565,935) x common factors =1 x 5 = 5

LCM(772,565,935) = ( 772 × 565 × 935 ) / 5

LCM(772,565,935) = 407828300 / 5

LCM(772,565,935) = 81565660


Lets's calculate GCF of 40,12,742

2 40, 12, 742
20, 6, 371

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 81565660/2

Therefore the LCM of Fractions 772/40,565/12,935/742 is 40782830

Greatest Common Factor of 40,12,742 By Matching Biggest Common Factor Method

Greatest Common Factor of 40,12,742 By Matching Biggest Common Factor Method

Factors of 40

List of positive integer factors of 40 that divides 40 without a remainder.

1,2,4,5,8,10,20,40

Factors of 12

List of positive integer factors of 12 that divides 12 without a remainder.

1,2,3,4,6,12

Factors of 742

List of positive integer factors of 742 that divides 742 without a remainder.

1,2,7,14,53,106,371,742

Greatest Common Factor

We found the factors 40,12,742 . The biggest common factor number is the GCF number.
So the greatest common factor 40,12,742 is 2.


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 772/40, 565/12, 935/742

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 772/40, 565/12, 935/742?

Answer: LCM of Numerators as per given numbers 772/40, 565/12, 935/742 is

LCM of Numerators i.e. for 772,565,935 is 81565660

GCF of denominators i.e. for 40,12,742 is 2.

Thus, LCM of Fractions is 40782830.Finally, LCM of Fractions for 772/40, 565/12, 935/742 is 40782830.