Least Common Multiple of 21/78, 13/314, 717/705

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 21/78, 13/314, 717/705 quickly i.e. 65247 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 21/78, 13/314, 717/705 is 65247.

LCM(21/78, 13/314, 717/705) = 65247

LCM of 21/78, 13/314, 717/705

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 21/78,13/314,717/705

Given numbers are 21/78,13/314,717/705

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 21,13,717

Least Common Multiple of Numerators i.e. LCM of 21,13,717 is 65247.

GCF of Denominators means GCF of 78,314,705 as per the given fractions.

GCF of 78,314,705 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 21,13,717

LCM of Fractions 21/78,13/314,717/705 is 65247

3 21, 13, 717
7, 13, 239

∴ So the LCM of the given numbers is 3 x 7 x 13 x 239 = 65247

Least Common Multiple of 21,13,717 with GCF Formula

Least Common Multiple of 21,13,717 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 21,13,717 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(21,13,717) = 1

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

GCF(21,13,717) x common factors =1 x 3 = 3

LCM(21,13,717) = ( 21 × 13 × 717 ) / 3

LCM(21,13,717) = 195741 / 3

LCM(21,13,717) = 65247


Lets's calculate GCF of 78,314,705

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 65247/1

Therefore the LCM of Fractions 21/78,13/314,717/705 is 65247

Greatest Common Factor of 78,314,705 By Matching Biggest Common Factor Method

Greatest Common Factor of 78,314,705 By Matching Biggest Common Factor Method

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 314

List of positive integer factors of 314 that divides 314 without a remainder.

1,2,157,314

Factors of 705

List of positive integer factors of 705 that divides 705 without a remainder.

1,3,5,15,47,141,235,705

Greatest Common Factor

We found the factors 78,314,705 . The biggest common factor number is the GCF number.
So the greatest common factor 78,314,705 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 21/78, 13/314, 717/705

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 21/78, 13/314, 717/705?

Answer: LCM of Numerators as per given numbers 21/78, 13/314, 717/705 is

LCM of Numerators i.e. for 21,13,717 is 65247

GCF of denominators i.e. for 78,314,705 is 1.

Thus, LCM of Fractions is 65247.Finally, LCM of Fractions for 21/78, 13/314, 717/705 is 65247.