Least Common Multiple of 79/13, 42/11, 71/13, 16/140

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 79/13, 42/11, 71/13, 16/140 quickly i.e. 1884624 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 79/13, 42/11, 71/13, 16/140 is 1884624.

LCM(79/13, 42/11, 71/13, 16/140) = 1884624

LCM of 79/13, 42/11, 71/13, 16/140

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 79/13,42/11,71/13,16/140

Given numbers are 79/13,42/11,71/13,16/140

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 79,42,71,16

Least Common Multiple of Numerators i.e. LCM of 79,42,71,16 is 1884624.

GCF of Denominators means GCF of 13,11,13,140 as per the given fractions.

GCF of 13,11,13,140 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 79,42,71,16

LCM of Fractions 79/13,42/11,71/13,16/140 is 1884624

2 79, 42, 71, 16
79, 21, 71, 8

∴ So the LCM of the given numbers is 2 x 79 x 21 x 71 x 8 = 1884624

Least Common Multiple of 79,42,71,16 with GCF Formula

Least Common Multiple of 79,42,71,16 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 79,42,71,16 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(79,42,71,16) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(79,42,71,16) x common factors =1 x 2 = 2

LCM(79,42,71,16) = ( 79 × 42 × 71 × 16 ) / 2

LCM(79,42,71,16) = 3769248 / 2

LCM(79,42,71,16) = 1884624


Lets's calculate GCF of 13,11,13,140

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1884624/1

Therefore the LCM of Fractions 79/13,42/11,71/13,16/140 is 1884624

Greatest Common Factor of 13,11,13,140 By Matching Biggest Common Factor Method

Greatest Common Factor of 13,11,13,140 By Matching Biggest Common Factor Method

Factors of 13

List of positive integer factors of 13 that divides 13 without a remainder.

1,13

Factors of 11

List of positive integer factors of 11 that divides 11 without a remainder.

1,11

Factors of 13

List of positive integer factors of 13 that divides 13 without a remainder.

1,13

Factors of 140

List of positive integer factors of 140 that divides 140 without a remainder.

1,2,4,5,7,10,14,20,28,35,70,140

Greatest Common Factor

We found the factors 13,11,13,140 . The biggest common factor number is the GCF number.
So the greatest common factor 13,11,13,140 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 79/13, 42/11, 71/13, 16/140

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 79/13, 42/11, 71/13, 16/140?

Answer: LCM of Numerators as per given numbers 79/13, 42/11, 71/13, 16/140 is

LCM of Numerators i.e. for 79,42,71,16 is 1884624

GCF of denominators i.e. for 13,11,13,140 is 1.

Thus, LCM of Fractions is 1884624.Finally, LCM of Fractions for 79/13, 42/11, 71/13, 16/140 is 1884624.