Least Common Multiple of 54/14, 54/80, 76/578

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 54/14, 54/80, 76/578 quickly i.e. 1026 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 54/14, 54/80, 76/578 is 1026.

LCM(54/14, 54/80, 76/578) = 1026

LCM of 54/14, 54/80, 76/578

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 54/14,54/80,76/578

Given numbers are 54/14,54/80,76/578

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 54,54,76

Least Common Multiple of Numerators i.e. LCM of 54,54,76 is 2052.

GCF of Denominators means GCF of 14,80,578 as per the given fractions.

GCF of 14,80,578 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 54,54,76

LCM of Fractions 54/14,54/80,76/578 is 1026

2 54, 54, 76
3 27, 27, 38
3 9, 9, 38
3 3, 3, 38
1, 1, 38

∴ So the LCM of the given numbers is 2 x 3 x 3 x 3 x 1 x 1 x 38 = 2052

Least Common Multiple of 54,54,76 with GCF Formula

Least Common Multiple of 54,54,76 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 54,54,76 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(54,54,76) = 2

common factors(in case of two or more numbers have common factors) = 54

GCF(54,54,76) x common factors =2 x 54 = 108

LCM(54,54,76) = ( 54 × 54 × 76 ) / 108

LCM(54,54,76) = 221616 / 108

LCM(54,54,76) = 2052


Lets's calculate GCF of 14,80,578

2 14, 80, 578
7, 40, 289

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2052/2

Therefore the LCM of Fractions 54/14,54/80,76/578 is 1026

Greatest Common Factor of 14,80,578 By Matching Biggest Common Factor Method

Greatest Common Factor of 14,80,578 By Matching Biggest Common Factor Method

Factors of 14

List of positive integer factors of 14 that divides 14 without a remainder.

1,2,7,14

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 578

List of positive integer factors of 578 that divides 578 without a remainder.

1,2,17,34,289,578

Greatest Common Factor

We found the factors 14,80,578 . The biggest common factor number is the GCF number.
So the greatest common factor 14,80,578 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 54/14, 54/80, 76/578

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 54/14, 54/80, 76/578?

Answer: LCM of Numerators as per given numbers 54/14, 54/80, 76/578 is

LCM of Numerators i.e. for 54,54,76 is 2052

GCF of denominators i.e. for 14,80,578 is 2.

Thus, LCM of Fractions is 1026.Finally, LCM of Fractions for 54/14, 54/80, 76/578 is 1026.