Least Common Multiple of 23/13, 42/82, 72/80, 86/694

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 23/13, 42/82, 72/80, 86/694 quickly i.e. 498456 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 23/13, 42/82, 72/80, 86/694 is 498456.

LCM(23/13, 42/82, 72/80, 86/694) = 498456

LCM of 23/13, 42/82, 72/80, 86/694

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 23/13,42/82,72/80,86/694

Given numbers are 23/13,42/82,72/80,86/694

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 23,42,72,86

Least Common Multiple of Numerators i.e. LCM of 23,42,72,86 is 498456.

GCF of Denominators means GCF of 13,82,80,694 as per the given fractions.

GCF of 13,82,80,694 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 23,42,72,86

LCM of Fractions 23/13,42/82,72/80,86/694 is 498456

2 23, 42, 72, 86
3 23, 21, 36, 43
23, 7, 12, 43

∴ So the LCM of the given numbers is 2 x 3 x 23 x 7 x 12 x 43 = 498456

Least Common Multiple of 23,42,72,86 with GCF Formula

Least Common Multiple of 23,42,72,86 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 23,42,72,86 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(23,42,72,86) = 1

common factors(in case of two or more numbers have common factors) = 12

GCF(23,42,72,86) x common factors =1 x 12 = 12

LCM(23,42,72,86) = ( 23 × 42 × 72 × 86 ) / 12

LCM(23,42,72,86) = 5981472 / 12

LCM(23,42,72,86) = 498456


Lets's calculate GCF of 13,82,80,694

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 498456/1

Therefore the LCM of Fractions 23/13,42/82,72/80,86/694 is 498456

Greatest Common Factor of 13,82,80,694 By Matching Biggest Common Factor Method

Greatest Common Factor of 13,82,80,694 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 82

List of positive integer factors of 82 that divides 82 without a remainder.

1,2,41,82

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 694

List of positive integer factors of 694 that divides 694 without a remainder.

1,2,347,694

Greatest Common Factor

We found the factors 13,82,80,694 . The biggest common factor number is the GCF number.
So the greatest common factor 13,82,80,694 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 23/13, 42/82, 72/80, 86/694

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 23/13, 42/82, 72/80, 86/694?

Answer: LCM of Numerators as per given numbers 23/13, 42/82, 72/80, 86/694 is

LCM of Numerators i.e. for 23,42,72,86 is 498456

GCF of denominators i.e. for 13,82,80,694 is 1.

Thus, LCM of Fractions is 498456.Finally, LCM of Fractions for 23/13, 42/82, 72/80, 86/694 is 498456.