Least Common Multiple of 13/79, 39/18, 36/42, 78/553

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 13/79, 39/18, 36/42, 78/553 quickly i.e. 468 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 13/79, 39/18, 36/42, 78/553 is 468.

LCM(13/79, 39/18, 36/42, 78/553) = 468

LCM of 13/79, 39/18, 36/42, 78/553

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 13/79,39/18,36/42,78/553

Given numbers are 13/79,39/18,36/42,78/553

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 13,39,36,78

Least Common Multiple of Numerators i.e. LCM of 13,39,36,78 is 468.

GCF of Denominators means GCF of 79,18,42,553 as per the given fractions.

GCF of 79,18,42,553 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 13,39,36,78

LCM of Fractions 13/79,39/18,36/42,78/553 is 468

2 13, 39, 36, 78
3 13, 39, 18, 39
13 13, 13, 6, 13
1, 1, 6, 1

∴ So the LCM of the given numbers is 2 x 3 x 13 x 1 x 1 x 6 x 1 = 468

Least Common Multiple of 13,39,36,78 with GCF Formula

Least Common Multiple of 13,39,36,78 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 13,39,36,78 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(13,39,36,78) = 1

common factors(in case of two or more numbers have common factors) = 3042

GCF(13,39,36,78) x common factors =1 x 3042 = 3042

LCM(13,39,36,78) = ( 13 × 39 × 36 × 78 ) / 3042

LCM(13,39,36,78) = 1423656 / 3042

LCM(13,39,36,78) = 468


Lets's calculate GCF of 79,18,42,553

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 468/1

Therefore the LCM of Fractions 13/79,39/18,36/42,78/553 is 468

Greatest Common Factor of 79,18,42,553 By Matching Biggest Common Factor Method

Greatest Common Factor of 79,18,42,553 By Matching Biggest Common Factor Method

Factors of 79

List of positive integer factors of 79 that divides 79 without a remainder.

1,79

Factors of 18

List of positive integer factors of 18 that divides 18 without a remainder.

1,2,3,6,9,18

Factors of 42

List of positive integer factors of 42 that divides 42 without a remainder.

1,2,3,6,7,14,21,42

Factors of 553

List of positive integer factors of 553 that divides 553 without a remainder.

1,7,79,553

Greatest Common Factor

We found the factors 79,18,42,553 . The biggest common factor number is the GCF number.
So the greatest common factor 79,18,42,553 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 13/79, 39/18, 36/42, 78/553

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 13/79, 39/18, 36/42, 78/553?

Answer: LCM of Numerators as per given numbers 13/79, 39/18, 36/42, 78/553 is

LCM of Numerators i.e. for 13,39,36,78 is 468

GCF of denominators i.e. for 79,18,42,553 is 1.

Thus, LCM of Fractions is 468.Finally, LCM of Fractions for 13/79, 39/18, 36/42, 78/553 is 468.