Least Common Multiple of 44/71, 92/10, 40/731

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 44/71, 92/10, 40/731 quickly i.e. 10120 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 44/71, 92/10, 40/731 is 10120.

LCM(44/71, 92/10, 40/731) = 10120

LCM of 44/71, 92/10, 40/731

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 44/71,92/10,40/731

Given numbers are 44/71,92/10,40/731

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 44,92,40

Least Common Multiple of Numerators i.e. LCM of 44,92,40 is 10120.

GCF of Denominators means GCF of 71,10,731 as per the given fractions.

GCF of 71,10,731 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 44,92,40

LCM of Fractions 44/71,92/10,40/731 is 10120

2 44, 92, 40
2 22, 46, 20
11, 23, 10

∴ So the LCM of the given numbers is 2 x 2 x 11 x 23 x 10 = 10120

Least Common Multiple of 44,92,40 with GCF Formula

Least Common Multiple of 44,92,40 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 44,92,40 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(44,92,40) = 4

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

GCF(44,92,40) x common factors =4 x 4 = 16

LCM(44,92,40) = ( 44 × 92 × 40 ) / 16

LCM(44,92,40) = 161920 / 16

LCM(44,92,40) = 10120


Lets's calculate GCF of 71,10,731

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 10120/1

Therefore the LCM of Fractions 44/71,92/10,40/731 is 10120

Greatest Common Factor of 71,10,731 By Matching Biggest Common Factor Method

Greatest Common Factor of 71,10,731 By Matching Biggest Common Factor Method

Factors of 71

List of positive integer factors of 71 that divides 71 without a remainder.

1,71

Factors of 10

List of positive integer factors of 10 that divides 10 without a remainder.

1,2,5,10

Factors of 731

List of positive integer factors of 731 that divides 731 without a remainder.

1,17,43,731

Greatest Common Factor

We found the factors 71,10,731 . The biggest common factor number is the GCF number.
So the greatest common factor 71,10,731 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 44/71, 92/10, 40/731

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 44/71, 92/10, 40/731?

Answer: LCM of Numerators as per given numbers 44/71, 92/10, 40/731 is

LCM of Numerators i.e. for 44,92,40 is 10120

GCF of denominators i.e. for 71,10,731 is 1.

Thus, LCM of Fractions is 10120.Finally, LCM of Fractions for 44/71, 92/10, 40/731 is 10120.