Least Common Multiple of 645/60, 921/81, 319/104

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 645/60, 921/81, 319/104 quickly i.e. 63166785 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 645/60, 921/81, 319/104 is 63166785.

LCM(645/60, 921/81, 319/104) = 63166785

LCM of 645/60, 921/81, 319/104

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 645/60,921/81,319/104

Given numbers are 645/60,921/81,319/104

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 645,921,319

Least Common Multiple of Numerators i.e. LCM of 645,921,319 is 63166785.

GCF of Denominators means GCF of 60,81,104 as per the given fractions.

GCF of 60,81,104 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 645,921,319

LCM of Fractions 645/60,921/81,319/104 is 63166785

3 645, 921, 319
215, 307, 319

∴ So the LCM of the given numbers is 3 x 215 x 307 x 319 = 63166785

Least Common Multiple of 645,921,319 with GCF Formula

Least Common Multiple of 645,921,319 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 645,921,319 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(645,921,319) = 1

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

GCF(645,921,319) x common factors =1 x 3 = 3

LCM(645,921,319) = ( 645 × 921 × 319 ) / 3

LCM(645,921,319) = 189500355 / 3

LCM(645,921,319) = 63166785


Lets's calculate GCF of 60,81,104

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 63166785/1

Therefore the LCM of Fractions 645/60,921/81,319/104 is 63166785

Greatest Common Factor of 60,81,104 By Matching Biggest Common Factor Method

Greatest Common Factor of 60,81,104 By Matching Biggest Common Factor Method

Factors of 60

List of positive integer factors of 60 that divides 60 without a remainder.

1,2,3,4,5,6,10,12,15,20,30,60

Factors of 81

List of positive integer factors of 81 that divides 81 without a remainder.

1,3,9,27,81

Factors of 104

List of positive integer factors of 104 that divides 104 without a remainder.

1,2,4,8,13,26,52,104

Greatest Common Factor

We found the factors 60,81,104 . The biggest common factor number is the GCF number.
So the greatest common factor 60,81,104 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 645/60, 921/81, 319/104

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 645/60, 921/81, 319/104?

Answer: LCM of Numerators as per given numbers 645/60, 921/81, 319/104 is

LCM of Numerators i.e. for 645,921,319 is 63166785

GCF of denominators i.e. for 60,81,104 is 1.

Thus, LCM of Fractions is 63166785.Finally, LCM of Fractions for 645/60, 921/81, 319/104 is 63166785.