Least Common Multiple of 24/92, 39/91, 37/18, 52/88

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 24/92, 39/91, 37/18, 52/88 quickly i.e. 11544 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 24/92, 39/91, 37/18, 52/88 is 11544.

LCM(24/92, 39/91, 37/18, 52/88) = 11544

LCM of 24/92, 39/91, 37/18, 52/88

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 24/92,39/91,37/18,52/88

Given numbers are 24/92,39/91,37/18,52/88

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 24,39,37,52

Least Common Multiple of Numerators i.e. LCM of 24,39,37,52 is 11544.

GCF of Denominators means GCF of 92,91,18,88 as per the given fractions.

GCF of 92,91,18,88 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 24,39,37,52

LCM of Fractions 24/92,39/91,37/18,52/88 is 11544

2 24, 39, 37, 52
2 12, 39, 37, 26
3 6, 39, 37, 13
13 2, 13, 37, 13
2, 1, 37, 1

∴ So the LCM of the given numbers is 2 x 2 x 3 x 13 x 2 x 1 x 37 x 1 = 11544

Least Common Multiple of 24,39,37,52 with GCF Formula

Least Common Multiple of 24,39,37,52 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 24,39,37,52 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(24,39,37,52) = 1

common factors(in case of two or more numbers have common factors) = 156

GCF(24,39,37,52) x common factors =1 x 156 = 156

LCM(24,39,37,52) = ( 24 × 39 × 37 × 52 ) / 156

LCM(24,39,37,52) = 1800864 / 156

LCM(24,39,37,52) = 11544


Lets's calculate GCF of 92,91,18,88

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 11544/1

Therefore the LCM of Fractions 24/92,39/91,37/18,52/88 is 11544

Greatest Common Factor of 92,91,18,88 By Matching Biggest Common Factor Method

Greatest Common Factor of 92,91,18,88 By Matching Biggest Common Factor Method

Factors of 92

List of positive integer factors of 92 that divides 92 without a remainder.

1,2,4,23,46,92

Factors of 91

List of positive integer factors of 91 that divides 91 without a remainder.

1,7,13,91

Factors of 18

List of positive integer factors of 18 that divides 18 without a remainder.

1,2,3,6,9,18

Factors of 88

List of positive integer factors of 88 that divides 88 without a remainder.

1,2,4,8,11,22,44,88

Greatest Common Factor

We found the factors 92,91,18,88 . The biggest common factor number is the GCF number.
So the greatest common factor 92,91,18,88 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 24/92, 39/91, 37/18, 52/88

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 24/92, 39/91, 37/18, 52/88?

Answer: LCM of Numerators as per given numbers 24/92, 39/91, 37/18, 52/88 is

LCM of Numerators i.e. for 24,39,37,52 is 11544

GCF of denominators i.e. for 92,91,18,88 is 1.

Thus, LCM of Fractions is 11544.Finally, LCM of Fractions for 24/92, 39/91, 37/18, 52/88 is 11544.