Least Common Multiple of 78/54, 14/29, 99/47, 52/977

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 78/54, 14/29, 99/47, 52/977 quickly i.e. 36036 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 78/54, 14/29, 99/47, 52/977 is 36036.

LCM(78/54, 14/29, 99/47, 52/977) = 36036

LCM of 78/54, 14/29, 99/47, 52/977

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 78/54,14/29,99/47,52/977

Given numbers are 78/54,14/29,99/47,52/977

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 78,14,99,52

Least Common Multiple of Numerators i.e. LCM of 78,14,99,52 is 36036.

GCF of Denominators means GCF of 54,29,47,977 as per the given fractions.

GCF of 54,29,47,977 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 78,14,99,52

LCM of Fractions 78/54,14/29,99/47,52/977 is 36036

2 78, 14, 99, 52
3 39, 7, 99, 26
13 13, 7, 33, 26
1, 7, 33, 2

∴ So the LCM of the given numbers is 2 x 3 x 13 x 1 x 7 x 33 x 2 = 36036

Least Common Multiple of 78,14,99,52 with GCF Formula

Least Common Multiple of 78,14,99,52 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 78,14,99,52 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(78,14,99,52) = 1

common factors(in case of two or more numbers have common factors) = 156

GCF(78,14,99,52) x common factors =1 x 156 = 156

LCM(78,14,99,52) = ( 78 × 14 × 99 × 52 ) / 156

LCM(78,14,99,52) = 5621616 / 156

LCM(78,14,99,52) = 36036


Lets's calculate GCF of 54,29,47,977

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 36036/1

Therefore the LCM of Fractions 78/54,14/29,99/47,52/977 is 36036

Greatest Common Factor of 54,29,47,977 By Matching Biggest Common Factor Method

Greatest Common Factor of 54,29,47,977 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 29

List of positive integer factors of 29 that divides 29 without a remainder.

1,29

Factors of 47

List of positive integer factors of 47 that divides 47 without a remainder.

1,47

Factors of 977

List of positive integer factors of 977 that divides 977 without a remainder.

1,977

Greatest Common Factor

We found the factors 54,29,47,977 . The biggest common factor number is the GCF number.
So the greatest common factor 54,29,47,977 is 1.


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 78/54, 14/29, 99/47, 52/977

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 78/54, 14/29, 99/47, 52/977?

Answer: LCM of Numerators as per given numbers 78/54, 14/29, 99/47, 52/977 is

LCM of Numerators i.e. for 78,14,99,52 is 36036

GCF of denominators i.e. for 54,29,47,977 is 1.

Thus, LCM of Fractions is 36036.Finally, LCM of Fractions for 78/54, 14/29, 99/47, 52/977 is 36036.