Least Common Multiple of 1/54, 2/68, 79/92, 82/484

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 1/54, 2/68, 79/92, 82/484 quickly i.e. 3239 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 1/54, 2/68, 79/92, 82/484 is 3239.

LCM(1/54, 2/68, 79/92, 82/484) = 3239

LCM of 1/54, 2/68, 79/92, 82/484

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 1/54,2/68,79/92,82/484

Given numbers are 1/54,2/68,79/92,82/484

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 1,2,79,82

Least Common Multiple of Numerators i.e. LCM of 1,2,79,82 is 6478.

GCF of Denominators means GCF of 54,68,92,484 as per the given fractions.

GCF of 54,68,92,484 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 1,2,79,82

LCM of Fractions 1/54,2/68,79/92,82/484 is 3239

2 1, 2, 79, 82
1, 1, 79, 41

∴ So the LCM of the given numbers is 2 x 1 x 1 x 79 x 41 = 6478

Least Common Multiple of 1,2,79,82 with GCF Formula

Least Common Multiple of 1,2,79,82 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 1,2,79,82 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(1,2,79,82) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(1,2,79,82) x common factors =1 x 2 = 2

LCM(1,2,79,82) = ( 1 × 2 × 79 × 82 ) / 2

LCM(1,2,79,82) = 12956 / 2

LCM(1,2,79,82) = 6478


Lets's calculate GCF of 54,68,92,484

2 54, 68, 92, 484
27, 34, 46, 242

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 6478/2

Therefore the LCM of Fractions 1/54,2/68,79/92,82/484 is 3239

Greatest Common Factor of 54,68,92,484 By Matching Biggest Common Factor Method

Greatest Common Factor of 54,68,92,484 By Matching Biggest Common Factor Method

Factors of 54

List of positive integer factors of 54 that divides 54 without a remainder.

1,2,3,6,9,18,27,54

Factors of 68

List of positive integer factors of 68 that divides 68 without a remainder.

1,2,4,17,34,68

Factors of 92

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

1,2,4,23,46,92

Factors of 484

List of positive integer factors of 484 that divides 484 without a remainder.

1,2,4,11,22,44,121,242,484

Greatest Common Factor

We found the factors 54,68,92,484 . The biggest common factor number is the GCF number.
So the greatest common factor 54,68,92,484 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 1/54, 2/68, 79/92, 82/484

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 1/54, 2/68, 79/92, 82/484?

Answer: LCM of Numerators as per given numbers 1/54, 2/68, 79/92, 82/484 is

LCM of Numerators i.e. for 1,2,79,82 is 6478

GCF of denominators i.e. for 54,68,92,484 is 2.

Thus, LCM of Fractions is 3239.Finally, LCM of Fractions for 1/54, 2/68, 79/92, 82/484 is 3239.