Least Common Multiple of 42/86, 72/845, 644/796

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 42/86, 72/845, 644/796 quickly i.e. 11592 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 42/86, 72/845, 644/796 is 11592.

LCM(42/86, 72/845, 644/796) = 11592

LCM of 42/86, 72/845, 644/796

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 42/86,72/845,644/796

Given numbers are 42/86,72/845,644/796

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 42,72,644

Least Common Multiple of Numerators i.e. LCM of 42,72,644 is 11592.

GCF of Denominators means GCF of 86,845,796 as per the given fractions.

GCF of 86,845,796 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 42,72,644

LCM of Fractions 42/86,72/845,644/796 is 11592

2 42, 72, 644
2 21, 36, 322
3 21, 18, 161
7 7, 6, 161
1, 6, 23

∴ So the LCM of the given numbers is 2 x 2 x 3 x 7 x 1 x 6 x 23 = 11592

Least Common Multiple of 42,72,644 with GCF Formula

Least Common Multiple of 42,72,644 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 42,72,644 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(42,72,644) = 2

common factors(in case of two or more numbers have common factors) = 84

GCF(42,72,644) x common factors =2 x 84 = 168

LCM(42,72,644) = ( 42 × 72 × 644 ) / 168

LCM(42,72,644) = 1947456 / 168

LCM(42,72,644) = 11592


Lets's calculate GCF of 86,845,796

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 11592/1

Therefore the LCM of Fractions 42/86,72/845,644/796 is 11592

Greatest Common Factor of 86,845,796 By Matching Biggest Common Factor Method

Greatest Common Factor of 86,845,796 By Matching Biggest Common Factor Method

Factors of 86

List of positive integer factors of 86 that divides 86 without a remainder.

1,2,43,86

Factors of 845

List of positive integer factors of 845 that divides 845 without a remainder.

1,5,13,65,169,845

Factors of 796

List of positive integer factors of 796 that divides 796 without a remainder.

1,2,4,199,398,796

Greatest Common Factor

We found the factors 86,845,796 . The biggest common factor number is the GCF number.
So the greatest common factor 86,845,796 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 42/86, 72/845, 644/796

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 42/86, 72/845, 644/796?

Answer: LCM of Numerators as per given numbers 42/86, 72/845, 644/796 is

LCM of Numerators i.e. for 42,72,644 is 11592

GCF of denominators i.e. for 86,845,796 is 1.

Thus, LCM of Fractions is 11592.Finally, LCM of Fractions for 42/86, 72/845, 644/796 is 11592.