Least Common Multiple of 54/10, 11/68, 39/994

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 54/10, 11/68, 39/994 quickly i.e. 3861 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 54/10, 11/68, 39/994 is 3861.

LCM(54/10, 11/68, 39/994) = 3861

LCM of 54/10, 11/68, 39/994

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 54/10,11/68,39/994

Given numbers are 54/10,11/68,39/994

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 54,11,39

Least Common Multiple of Numerators i.e. LCM of 54,11,39 is 7722.

GCF of Denominators means GCF of 10,68,994 as per the given fractions.

GCF of 10,68,994 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 54,11,39

LCM of Fractions 54/10,11/68,39/994 is 3861

3 54, 11, 39
18, 11, 13

∴ So the LCM of the given numbers is 3 x 18 x 11 x 13 = 7722

Least Common Multiple of 54,11,39 with GCF Formula

Least Common Multiple of 54,11,39 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 54,11,39 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(54,11,39) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(54,11,39) x common factors =1 x 3 = 3

LCM(54,11,39) = ( 54 × 11 × 39 ) / 3

LCM(54,11,39) = 23166 / 3

LCM(54,11,39) = 7722


Lets's calculate GCF of 10,68,994

2 10, 68, 994
5, 34, 497

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 7722/2

Therefore the LCM of Fractions 54/10,11/68,39/994 is 3861

Greatest Common Factor of 10,68,994 By Matching Biggest Common Factor Method

Greatest Common Factor of 10,68,994 By Matching Biggest Common Factor Method

Factors of 10

List of positive integer factors of 10 that divides 10 without a remainder.

1,2,5,10

Factors of 68

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

1,2,4,17,34,68

Factors of 994

List of positive integer factors of 994 that divides 994 without a remainder.

1,2,7,14,71,142,497,994

Greatest Common Factor

We found the factors 10,68,994 . The biggest common factor number is the GCF number.
So the greatest common factor 10,68,994 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 54/10, 11/68, 39/994

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 54/10, 11/68, 39/994?

Answer: LCM of Numerators as per given numbers 54/10, 11/68, 39/994 is

LCM of Numerators i.e. for 54,11,39 is 7722

GCF of denominators i.e. for 10,68,994 is 2.

Thus, LCM of Fractions is 3861.Finally, LCM of Fractions for 54/10, 11/68, 39/994 is 3861.