Least Common Multiple of 85/21, 12/83, 42/78, 39/644

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 85/21, 12/83, 42/78, 39/644 quickly i.e. 92820 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 85/21, 12/83, 42/78, 39/644 is 92820.

LCM(85/21, 12/83, 42/78, 39/644) = 92820

LCM of 85/21, 12/83, 42/78, 39/644

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 85/21,12/83,42/78,39/644

Given numbers are 85/21,12/83,42/78,39/644

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 85,12,42,39

Least Common Multiple of Numerators i.e. LCM of 85,12,42,39 is 92820.

GCF of Denominators means GCF of 21,83,78,644 as per the given fractions.

GCF of 21,83,78,644 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 85,12,42,39

LCM of Fractions 85/21,12/83,42/78,39/644 is 92820

2 85, 12, 42, 39
3 85, 6, 21, 39
85, 2, 7, 13

∴ So the LCM of the given numbers is 2 x 3 x 85 x 2 x 7 x 13 = 92820

Least Common Multiple of 85,12,42,39 with GCF Formula

Least Common Multiple of 85,12,42,39 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 85,12,42,39 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(85,12,42,39) = 1

common factors(in case of two or more numbers have common factors) = 18

GCF(85,12,42,39) x common factors =1 x 18 = 18

LCM(85,12,42,39) = ( 85 × 12 × 42 × 39 ) / 18

LCM(85,12,42,39) = 1670760 / 18

LCM(85,12,42,39) = 92820


Lets's calculate GCF of 21,83,78,644

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 92820/1

Therefore the LCM of Fractions 85/21,12/83,42/78,39/644 is 92820

Greatest Common Factor of 21,83,78,644 By Matching Biggest Common Factor Method

Greatest Common Factor of 21,83,78,644 By Matching Biggest Common Factor Method

Factors of 21

List of positive integer factors of 21 that divides 21 without a remainder.

1,3,7,21

Factors of 83

List of positive integer factors of 83 that divides 83 without a remainder.

1,83

Factors of 78

List of positive integer factors of 78 that divides 78 without a remainder.

1,2,3,6,13,26,39,78

Factors of 644

List of positive integer factors of 644 that divides 644 without a remainder.

1,2,4,7,14,23,28,46,92,161,322,644

Greatest Common Factor

We found the factors 21,83,78,644 . The biggest common factor number is the GCF number.
So the greatest common factor 21,83,78,644 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 85/21, 12/83, 42/78, 39/644

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 85/21, 12/83, 42/78, 39/644?

Answer: LCM of Numerators as per given numbers 85/21, 12/83, 42/78, 39/644 is

LCM of Numerators i.e. for 85,12,42,39 is 92820

GCF of denominators i.e. for 21,83,78,644 is 1.

Thus, LCM of Fractions is 92820.Finally, LCM of Fractions for 85/21, 12/83, 42/78, 39/644 is 92820.