Least Common Multiple of 37/96, 50/41, 78/71, 74/19

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 37/96, 50/41, 78/71, 74/19 quickly i.e. 72150 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 37/96, 50/41, 78/71, 74/19 is 72150.

LCM(37/96, 50/41, 78/71, 74/19) = 72150

LCM of 37/96, 50/41, 78/71, 74/19

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 37/96,50/41,78/71,74/19

Given numbers are 37/96,50/41,78/71,74/19

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 37,50,78,74

Least Common Multiple of Numerators i.e. LCM of 37,50,78,74 is 72150.

GCF of Denominators means GCF of 96,41,71,19 as per the given fractions.

GCF of 96,41,71,19 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 37,50,78,74

LCM of Fractions 37/96,50/41,78/71,74/19 is 72150

2 37, 50, 78, 74
37 37, 25, 39, 37
1, 25, 39, 1

∴ So the LCM of the given numbers is 2 x 37 x 1 x 25 x 39 x 1 = 72150

Least Common Multiple of 37,50,78,74 with GCF Formula

Least Common Multiple of 37,50,78,74 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 37,50,78,74 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(37,50,78,74) = 1

common factors(in case of two or more numbers have common factors) = 148

GCF(37,50,78,74) x common factors =1 x 148 = 148

LCM(37,50,78,74) = ( 37 × 50 × 78 × 74 ) / 148

LCM(37,50,78,74) = 10678200 / 148

LCM(37,50,78,74) = 72150


Lets's calculate GCF of 96,41,71,19

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 72150/1

Therefore the LCM of Fractions 37/96,50/41,78/71,74/19 is 72150

Greatest Common Factor of 96,41,71,19 By Matching Biggest Common Factor Method

Greatest Common Factor of 96,41,71,19 By Matching Biggest Common Factor Method

Factors of 96

List of positive integer factors of 96 that divides 96 without a remainder.

1,2,3,4,6,8,12,16,24,32,48,96

Factors of 41

List of positive integer factors of 41 that divides 41 without a remainder.

1,41

Factors of 71

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

1,71

Factors of 19

List of positive integer factors of 19 that divides 19 without a remainder.

1,19

Greatest Common Factor

We found the factors 96,41,71,19 . The biggest common factor number is the GCF number.
So the greatest common factor 96,41,71,19 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 37/96, 50/41, 78/71, 74/19

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 37/96, 50/41, 78/71, 74/19?

Answer: LCM of Numerators as per given numbers 37/96, 50/41, 78/71, 74/19 is

LCM of Numerators i.e. for 37,50,78,74 is 72150

GCF of denominators i.e. for 96,41,71,19 is 1.

Thus, LCM of Fractions is 72150.Finally, LCM of Fractions for 37/96, 50/41, 78/71, 74/19 is 72150.