Least Common Multiple of 24/84, 18/94, 60/92, 71/268

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 24/84, 18/94, 60/92, 71/268 quickly i.e. 12780 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 24/84, 18/94, 60/92, 71/268 is 12780.

LCM(24/84, 18/94, 60/92, 71/268) = 12780

LCM of 24/84, 18/94, 60/92, 71/268

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 24/84,18/94,60/92,71/268

Given numbers are 24/84,18/94,60/92,71/268

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 24,18,60,71

Least Common Multiple of Numerators i.e. LCM of 24,18,60,71 is 25560.

GCF of Denominators means GCF of 84,94,92,268 as per the given fractions.

GCF of 84,94,92,268 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 24,18,60,71

LCM of Fractions 24/84,18/94,60/92,71/268 is 12780

2 24, 18, 60, 71
2 12, 9, 30, 71
3 6, 9, 15, 71
2, 3, 5, 71

∴ So the LCM of the given numbers is 2 x 2 x 3 x 2 x 3 x 5 x 71 = 25560

Least Common Multiple of 24,18,60,71 with GCF Formula

Least Common Multiple of 24,18,60,71 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 24,18,60,71 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(24,18,60,71) = 1

common factors(in case of two or more numbers have common factors) = 72

GCF(24,18,60,71) x common factors =1 x 72 = 72

LCM(24,18,60,71) = ( 24 × 18 × 60 × 71 ) / 72

LCM(24,18,60,71) = 1840320 / 72

LCM(24,18,60,71) = 25560


Lets's calculate GCF of 84,94,92,268

2 84, 94, 92, 268
42, 47, 46, 134

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 25560/2

Therefore the LCM of Fractions 24/84,18/94,60/92,71/268 is 12780

Greatest Common Factor of 84,94,92,268 By Matching Biggest Common Factor Method

Greatest Common Factor of 84,94,92,268 By Matching Biggest Common Factor Method

Factors of 84

List of positive integer factors of 84 that divides 84 without a remainder.

1,2,3,4,6,7,12,14,21,28,42,84

Factors of 94

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

1,2,47,94

Factors of 92

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

1,2,4,23,46,92

Factors of 268

List of positive integer factors of 268 that divides 268 without a remainder.

1,2,4,67,134,268

Greatest Common Factor

We found the factors 84,94,92,268 . The biggest common factor number is the GCF number.
So the greatest common factor 84,94,92,268 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 24/84, 18/94, 60/92, 71/268

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 24/84, 18/94, 60/92, 71/268?

Answer: LCM of Numerators as per given numbers 24/84, 18/94, 60/92, 71/268 is

LCM of Numerators i.e. for 24,18,60,71 is 25560

GCF of denominators i.e. for 84,94,92,268 is 2.

Thus, LCM of Fractions is 12780.Finally, LCM of Fractions for 24/84, 18/94, 60/92, 71/268 is 12780.