Least Common Multiple of 610/65, 718/45, 139/192

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 610/65, 718/45, 139/192 quickly i.e. 30439610 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 610/65, 718/45, 139/192 is 30439610.

LCM(610/65, 718/45, 139/192) = 30439610

LCM of 610/65, 718/45, 139/192

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 610/65,718/45,139/192

Given numbers are 610/65,718/45,139/192

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 610,718,139

Least Common Multiple of Numerators i.e. LCM of 610,718,139 is 30439610.

GCF of Denominators means GCF of 65,45,192 as per the given fractions.

GCF of 65,45,192 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 610,718,139

LCM of Fractions 610/65,718/45,139/192 is 30439610

2 610, 718, 139
305, 359, 139

∴ So the LCM of the given numbers is 2 x 305 x 359 x 139 = 30439610

Least Common Multiple of 610,718,139 with GCF Formula

Least Common Multiple of 610,718,139 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 610,718,139 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(610,718,139) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(610,718,139) x common factors =1 x 2 = 2

LCM(610,718,139) = ( 610 × 718 × 139 ) / 2

LCM(610,718,139) = 60879220 / 2

LCM(610,718,139) = 30439610


Lets's calculate GCF of 65,45,192

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 30439610/1

Therefore the LCM of Fractions 610/65,718/45,139/192 is 30439610

Greatest Common Factor of 65,45,192 By Matching Biggest Common Factor Method

Greatest Common Factor of 65,45,192 By Matching Biggest Common Factor Method

Factors of 65

List of positive integer factors of 65 that divides 65 without a remainder.

1,5,13,65

Factors of 45

List of positive integer factors of 45 that divides 45 without a remainder.

1,3,5,9,15,45

Factors of 192

List of positive integer factors of 192 that divides 192 without a remainder.

1,2,3,4,6,8,12,16,24,32,48,64,96,192

Greatest Common Factor

We found the factors 65,45,192 . The biggest common factor number is the GCF number.
So the greatest common factor 65,45,192 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 610/65, 718/45, 139/192

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 610/65, 718/45, 139/192?

Answer: LCM of Numerators as per given numbers 610/65, 718/45, 139/192 is

LCM of Numerators i.e. for 610,718,139 is 30439610

GCF of denominators i.e. for 65,45,192 is 1.

Thus, LCM of Fractions is 30439610.Finally, LCM of Fractions for 610/65, 718/45, 139/192 is 30439610.