Least Common Multiple of 21/85, 939/74, 117/387

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 21/85, 939/74, 117/387 quickly i.e. 256347 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 21/85, 939/74, 117/387 is 256347.

LCM(21/85, 939/74, 117/387) = 256347

LCM of 21/85, 939/74, 117/387

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 21/85,939/74,117/387

Given numbers are 21/85,939/74,117/387

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 21,939,117

Least Common Multiple of Numerators i.e. LCM of 21,939,117 is 256347.

GCF of Denominators means GCF of 85,74,387 as per the given fractions.

GCF of 85,74,387 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 21,939,117

LCM of Fractions 21/85,939/74,117/387 is 256347

3 21, 939, 117
7, 313, 39

∴ So the LCM of the given numbers is 3 x 7 x 313 x 39 = 256347

Least Common Multiple of 21,939,117 with GCF Formula

Least Common Multiple of 21,939,117 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 21,939,117 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(21,939,117) = 3

common factors(in case of two or more numbers have common factors) = 3

GCF(21,939,117) x common factors =3 x 3 = 9

LCM(21,939,117) = ( 21 × 939 × 117 ) / 9

LCM(21,939,117) = 2307123 / 9

LCM(21,939,117) = 256347


Lets's calculate GCF of 85,74,387

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 256347/1

Therefore the LCM of Fractions 21/85,939/74,117/387 is 256347

Greatest Common Factor of 85,74,387 By Matching Biggest Common Factor Method

Greatest Common Factor of 85,74,387 By Matching Biggest Common Factor Method

Factors of 85

List of positive integer factors of 85 that divides 85 without a remainder.

1,5,17,85

Factors of 74

List of positive integer factors of 74 that divides 74 without a remainder.

1,2,37,74

Factors of 387

List of positive integer factors of 387 that divides 387 without a remainder.

1,3,9,43,129,387

Greatest Common Factor

We found the factors 85,74,387 . The biggest common factor number is the GCF number.
So the greatest common factor 85,74,387 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 21/85, 939/74, 117/387

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 21/85, 939/74, 117/387?

Answer: LCM of Numerators as per given numbers 21/85, 939/74, 117/387 is

LCM of Numerators i.e. for 21,939,117 is 256347

GCF of denominators i.e. for 85,74,387 is 1.

Thus, LCM of Fractions is 256347.Finally, LCM of Fractions for 21/85, 939/74, 117/387 is 256347.