Least Common Multiple of 44/20, 760/39, 347/712

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 44/20, 760/39, 347/712 quickly i.e. 2900920 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 44/20, 760/39, 347/712 is 2900920.

LCM(44/20, 760/39, 347/712) = 2900920

LCM of 44/20, 760/39, 347/712

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 44/20,760/39,347/712

Given numbers are 44/20,760/39,347/712

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 44,760,347

Least Common Multiple of Numerators i.e. LCM of 44,760,347 is 2900920.

GCF of Denominators means GCF of 20,39,712 as per the given fractions.

GCF of 20,39,712 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 44,760,347

LCM of Fractions 44/20,760/39,347/712 is 2900920

2 44, 760, 347
2 22, 380, 347
11, 190, 347

∴ So the LCM of the given numbers is 2 x 2 x 11 x 190 x 347 = 2900920

Least Common Multiple of 44,760,347 with GCF Formula

Least Common Multiple of 44,760,347 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 44,760,347 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(44,760,347) = 1

common factors(in case of two or more numbers have common factors) = 4

GCF(44,760,347) x common factors =1 x 4 = 4

LCM(44,760,347) = ( 44 × 760 × 347 ) / 4

LCM(44,760,347) = 11603680 / 4

LCM(44,760,347) = 2900920


Lets's calculate GCF of 20,39,712

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2900920/1

Therefore the LCM of Fractions 44/20,760/39,347/712 is 2900920

Greatest Common Factor of 20,39,712 By Matching Biggest Common Factor Method

Greatest Common Factor of 20,39,712 By Matching Biggest Common Factor Method

Factors of 20

List of positive integer factors of 20 that divides 20 without a remainder.

1,2,4,5,10,20

Factors of 39

List of positive integer factors of 39 that divides 39 without a remainder.

1,3,13,39

Factors of 712

List of positive integer factors of 712 that divides 712 without a remainder.

1,2,4,8,89,178,356,712

Greatest Common Factor

We found the factors 20,39,712 . The biggest common factor number is the GCF number.
So the greatest common factor 20,39,712 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 44/20, 760/39, 347/712

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 44/20, 760/39, 347/712?

Answer: LCM of Numerators as per given numbers 44/20, 760/39, 347/712 is

LCM of Numerators i.e. for 44,760,347 is 2900920

GCF of denominators i.e. for 20,39,712 is 1.

Thus, LCM of Fractions is 2900920.Finally, LCM of Fractions for 44/20, 760/39, 347/712 is 2900920.