Least Common Multiple of 37/43, 29/96, 31/25, 23/422

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 37/43, 29/96, 31/25, 23/422 quickly i.e. 765049 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 37/43, 29/96, 31/25, 23/422 is 765049.

LCM(37/43, 29/96, 31/25, 23/422) = 765049

LCM of 37/43, 29/96, 31/25, 23/422

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 37/43,29/96,31/25,23/422

Given numbers are 37/43,29/96,31/25,23/422

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 37,29,31,23

Least Common Multiple of Numerators i.e. LCM of 37,29,31,23 is 765049.

GCF of Denominators means GCF of 43,96,25,422 as per the given fractions.

GCF of 43,96,25,422 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 37,29,31,23

LCM of Fractions 37/43,29/96,31/25,23/422 is 765049

Given numbers has no common factors except 1. So, there LCM is their product i.e 765049

Least Common Multiple of 37,29,31,23 with GCF Formula

Least Common Multiple of 37,29,31,23 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 37,29,31,23 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(37,29,31,23) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(37,29,31,23) x common factors =1 x 1 = 1

LCM(37,29,31,23) = ( 37 × 29 × 31 × 23 ) / 1

LCM(37,29,31,23) = 765049 / 1

LCM(37,29,31,23) = 765049


Lets's calculate GCF of 43,96,25,422

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 765049/1

Therefore the LCM of Fractions 37/43,29/96,31/25,23/422 is 765049

Greatest Common Factor of 43,96,25,422 By Matching Biggest Common Factor Method

Greatest Common Factor of 43,96,25,422 By Matching Biggest Common Factor Method

Factors of 43

List of positive integer factors of 43 that divides 43 without a remainder.

1,43

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 25

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

1,5,25

Factors of 422

List of positive integer factors of 422 that divides 422 without a remainder.

1,2,211,422

Greatest Common Factor

We found the factors 43,96,25,422 . The biggest common factor number is the GCF number.
So the greatest common factor 43,96,25,422 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 37/43, 29/96, 31/25, 23/422

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 37/43, 29/96, 31/25, 23/422?

Answer: LCM of Numerators as per given numbers 37/43, 29/96, 31/25, 23/422 is

LCM of Numerators i.e. for 37,29,31,23 is 765049

GCF of denominators i.e. for 43,96,25,422 is 1.

Thus, LCM of Fractions is 765049.Finally, LCM of Fractions for 37/43, 29/96, 31/25, 23/422 is 765049.