Least Common Multiple of 92/92, 81/60, 24/866

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 92/92, 81/60, 24/866 quickly i.e. 7452 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 92/92, 81/60, 24/866 is 7452.

LCM(92/92, 81/60, 24/866) = 7452

LCM of 92/92, 81/60, 24/866

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 92/92,81/60,24/866

Given numbers are 92/92,81/60,24/866

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 92,81,24

Least Common Multiple of Numerators i.e. LCM of 92,81,24 is 14904.

GCF of Denominators means GCF of 92,60,866 as per the given fractions.

GCF of 92,60,866 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 92,81,24

LCM of Fractions 92/92,81/60,24/866 is 7452

2 92, 81, 24
2 46, 81, 12
3 23, 81, 6
23, 27, 2

∴ So the LCM of the given numbers is 2 x 2 x 3 x 23 x 27 x 2 = 14904

Least Common Multiple of 92,81,24 with GCF Formula

Least Common Multiple of 92,81,24 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 92,81,24 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(92,81,24) = 1

common factors(in case of two or more numbers have common factors) = 12

GCF(92,81,24) x common factors =1 x 12 = 12

LCM(92,81,24) = ( 92 × 81 × 24 ) / 12

LCM(92,81,24) = 178848 / 12

LCM(92,81,24) = 14904


Lets's calculate GCF of 92,60,866

2 92, 60, 866
46, 30, 433

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 14904/2

Therefore the LCM of Fractions 92/92,81/60,24/866 is 7452

Greatest Common Factor of 92,60,866 By Matching Biggest Common Factor Method

Greatest Common Factor of 92,60,866 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 60

List of positive integer factors of 60 that divides 60 without a remainder.

1,2,3,4,5,6,10,12,15,20,30,60

Factors of 866

List of positive integer factors of 866 that divides 866 without a remainder.

1,2,433,866

Greatest Common Factor

We found the factors 92,60,866 . The biggest common factor number is the GCF number.
So the greatest common factor 92,60,866 is 2.


LCM of Fractions Calculation Examples

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Frequently Asked Questions on Fractional LCM of 92/92, 81/60, 24/866

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 92/92, 81/60, 24/866?

Answer: LCM of Numerators as per given numbers 92/92, 81/60, 24/866 is

LCM of Numerators i.e. for 92,81,24 is 14904

GCF of denominators i.e. for 92,60,866 is 2.

Thus, LCM of Fractions is 7452.Finally, LCM of Fractions for 92/92, 81/60, 24/866 is 7452.