Least Common Multiple of 71/94, 24/14, 48/44, 40/50

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 71/94, 24/14, 48/44, 40/50 quickly i.e. 8520 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 71/94, 24/14, 48/44, 40/50 is 8520.

LCM(71/94, 24/14, 48/44, 40/50) = 8520

LCM of 71/94, 24/14, 48/44, 40/50

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 71/94,24/14,48/44,40/50

Given numbers are 71/94,24/14,48/44,40/50

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 71,24,48,40

Least Common Multiple of Numerators i.e. LCM of 71,24,48,40 is 17040.

GCF of Denominators means GCF of 94,14,44,50 as per the given fractions.

GCF of 94,14,44,50 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 71,24,48,40

LCM of Fractions 71/94,24/14,48/44,40/50 is 8520

2 71, 24, 48, 40
2 71, 12, 24, 20
2 71, 6, 12, 10
3 71, 3, 6, 5
71, 1, 2, 5

∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 71 x 1 x 2 x 5 = 17040

Least Common Multiple of 71,24,48,40 with GCF Formula

Least Common Multiple of 71,24,48,40 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 71,24,48,40 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(71,24,48,40) = 1

common factors(in case of two or more numbers have common factors) = 192

GCF(71,24,48,40) x common factors =1 x 192 = 192

LCM(71,24,48,40) = ( 71 × 24 × 48 × 40 ) / 192

LCM(71,24,48,40) = 3271680 / 192

LCM(71,24,48,40) = 17040


Lets's calculate GCF of 94,14,44,50

2 94, 14, 44, 50
47, 7, 22, 25

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 17040/2

Therefore the LCM of Fractions 71/94,24/14,48/44,40/50 is 8520

Greatest Common Factor of 94,14,44,50 By Matching Biggest Common Factor Method

Greatest Common Factor of 94,14,44,50 By Matching Biggest Common Factor Method

Factors of 94

List of positive integer factors of 94 that divides 94 without a remainder.

1,2,47,94

Factors of 14

List of positive integer factors of 14 that divides 14 without a remainder.

1,2,7,14

Factors of 44

List of positive integer factors of 44 that divides 44 without a remainder.

1,2,4,11,22,44

Factors of 50

List of positive integer factors of 50 that divides 50 without a remainder.

1,2,5,10,25,50

Greatest Common Factor

We found the factors 94,14,44,50 . The biggest common factor number is the GCF number.
So the greatest common factor 94,14,44,50 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 71/94, 24/14, 48/44, 40/50

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 71/94, 24/14, 48/44, 40/50?

Answer: LCM of Numerators as per given numbers 71/94, 24/14, 48/44, 40/50 is

LCM of Numerators i.e. for 71,24,48,40 is 17040

GCF of denominators i.e. for 94,14,44,50 is 2.

Thus, LCM of Fractions is 8520.Finally, LCM of Fractions for 71/94, 24/14, 48/44, 40/50 is 8520.