Least Common Multiple of 54/16, 70/80, 39/80, 54/992

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 54/16, 70/80, 39/80, 54/992 quickly i.e. 24570/16 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 54/16, 70/80, 39/80, 54/992 is 24570/16.

LCM(54/16, 70/80, 39/80, 54/992) = 24570/16

LCM of 54/16, 70/80, 39/80, 54/992

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 54/16,70/80,39/80,54/992

Given numbers are 54/16,70/80,39/80,54/992

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 54,70,39,54

Least Common Multiple of Numerators i.e. LCM of 54,70,39,54 is 24570.

GCF of Denominators means GCF of 16,80,80,992 as per the given fractions.

GCF of 16,80,80,992 is 16 as it is the largest common factor for these numbers.

Lets's calculate LCM of 54,70,39,54

LCM of Fractions 54/16,70/80,39/80,54/992 is 24570/16

2 54, 70, 39, 54
3 27, 35, 39, 27
3 9, 35, 13, 9
3 3, 35, 13, 3
1, 35, 13, 1

∴ So the LCM of the given numbers is 2 x 3 x 3 x 3 x 1 x 35 x 13 x 1 = 24570

Least Common Multiple of 54,70,39,54 with GCF Formula

Least Common Multiple of 54,70,39,54 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 54,70,39,54 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(54,70,39,54) = 1

common factors(in case of two or more numbers have common factors) = 324

GCF(54,70,39,54) x common factors =1 x 324 = 324

LCM(54,70,39,54) = ( 54 × 70 × 39 × 54 ) / 324

LCM(54,70,39,54) = 7960680 / 324

LCM(54,70,39,54) = 24570


Lets's calculate GCF of 16,80,80,992

2 16, 80, 80, 992
2 8, 40, 40, 496
2 4, 20, 20, 248
2 2, 10, 10, 124
1, 5, 5, 62

∴ So the GCF of the given numbers is 2 x 2 x 2 x 2 = 16

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 24570/16

Therefore the LCM of Fractions 54/16,70/80,39/80,54/992 is 24570/16

Greatest Common Factor of 16,80,80,992 By Matching Biggest Common Factor Method

Greatest Common Factor of 16,80,80,992 By Matching Biggest Common Factor Method

Factors of 16

List of positive integer factors of 16 that divides 16 without a remainder.

1,2,4,8,16

Factors of 80

List of positive integer factors of 80 that divides 80 without a remainder.

1,2,4,5,8,10,16,20,40,80

Factors of 80

List of positive integer factors of 80 that divides 80 without a remainder.

1,2,4,5,8,10,16,20,40,80

Factors of 992

List of positive integer factors of 992 that divides 992 without a remainder.

1,2,4,8,16,31,32,62,124,248,496,992

Greatest Common Factor

We found the factors 16,80,80,992 . The biggest common factor number is the GCF number.
So the greatest common factor 16,80,80,992 is 16.


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 54/16, 70/80, 39/80, 54/992

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 54/16, 70/80, 39/80, 54/992?

Answer: LCM of Numerators as per given numbers 54/16, 70/80, 39/80, 54/992 is

LCM of Numerators i.e. for 54,70,39,54 is 24570

GCF of denominators i.e. for 16,80,80,992 is 16.

Thus, LCM of Fractions is 24570/16.Finally, LCM of Fractions for 54/16, 70/80, 39/80, 54/992 is 24570/16.