Least Common Multiple of 44/25, 12/90, 71/31, 76/327

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 44/25, 12/90, 71/31, 76/327 quickly i.e. 178068 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 44/25, 12/90, 71/31, 76/327 is 178068.

LCM(44/25, 12/90, 71/31, 76/327) = 178068

LCM of 44/25, 12/90, 71/31, 76/327

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 44/25,12/90,71/31,76/327

Given numbers are 44/25,12/90,71/31,76/327

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 44,12,71,76

Least Common Multiple of Numerators i.e. LCM of 44,12,71,76 is 178068.

GCF of Denominators means GCF of 25,90,31,327 as per the given fractions.

GCF of 25,90,31,327 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 44,12,71,76

LCM of Fractions 44/25,12/90,71/31,76/327 is 178068

2 44, 12, 71, 76
2 22, 6, 71, 38
11, 3, 71, 19

∴ So the LCM of the given numbers is 2 x 2 x 11 x 3 x 71 x 19 = 178068

Least Common Multiple of 44,12,71,76 with GCF Formula

Least Common Multiple of 44,12,71,76 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 44,12,71,76 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(44,12,71,76) = 1

common factors(in case of two or more numbers have common factors) = 16

GCF(44,12,71,76) x common factors =1 x 16 = 16

LCM(44,12,71,76) = ( 44 × 12 × 71 × 76 ) / 16

LCM(44,12,71,76) = 2849088 / 16

LCM(44,12,71,76) = 178068


Lets's calculate GCF of 25,90,31,327

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 178068/1

Therefore the LCM of Fractions 44/25,12/90,71/31,76/327 is 178068

Greatest Common Factor of 25,90,31,327 By Matching Biggest Common Factor Method

Greatest Common Factor of 25,90,31,327 By Matching Biggest Common Factor Method

Factors of 25

List of positive integer factors of 25 that divides 25 without a remainder.

1,5,25

Factors of 90

List of positive integer factors of 90 that divides 90 without a remainder.

1,2,3,5,6,9,10,15,18,30,45,90

Factors of 31

List of positive integer factors of 31 that divides 31 without a remainder.

1,31

Factors of 327

List of positive integer factors of 327 that divides 327 without a remainder.

1,3,109,327

Greatest Common Factor

We found the factors 25,90,31,327 . The biggest common factor number is the GCF number.
So the greatest common factor 25,90,31,327 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 44/25, 12/90, 71/31, 76/327

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 44/25, 12/90, 71/31, 76/327?

Answer: LCM of Numerators as per given numbers 44/25, 12/90, 71/31, 76/327 is

LCM of Numerators i.e. for 44,12,71,76 is 178068

GCF of denominators i.e. for 25,90,31,327 is 1.

Thus, LCM of Fractions is 178068.Finally, LCM of Fractions for 44/25, 12/90, 71/31, 76/327 is 178068.