Least Common Multiple of 60/768, 85/690, 113/408

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 60/768, 85/690, 113/408 quickly i.e. 19210 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 60/768, 85/690, 113/408 is 19210.

LCM(60/768, 85/690, 113/408) = 19210

LCM of 60/768, 85/690, 113/408

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 60/768,85/690,113/408

Given numbers are 60/768,85/690,113/408

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 60,85,113

Least Common Multiple of Numerators i.e. LCM of 60,85,113 is 115260.

GCF of Denominators means GCF of 768,690,408 as per the given fractions.

GCF of 768,690,408 is 6 as it is the largest common factor for these numbers.

Lets's calculate LCM of 60,85,113

LCM of Fractions 60/768,85/690,113/408 is 19210

5 60, 85, 113
12, 17, 113

∴ So the LCM of the given numbers is 5 x 12 x 17 x 113 = 115260

Least Common Multiple of 60,85,113 with GCF Formula

Least Common Multiple of 60,85,113 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 60,85,113 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(60,85,113) = 1

common factors(in case of two or more numbers have common factors) = 5

GCF(60,85,113) x common factors =1 x 5 = 5

LCM(60,85,113) = ( 60 × 85 × 113 ) / 5

LCM(60,85,113) = 576300 / 5

LCM(60,85,113) = 115260


Lets's calculate GCF of 768,690,408

2 768, 690, 408
3 384, 345, 204
128, 115, 68

∴ So the GCF of the given numbers is 2 x 3 = 6

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 115260/6

Therefore the LCM of Fractions 60/768,85/690,113/408 is 19210

Greatest Common Factor of 768,690,408 By Matching Biggest Common Factor Method

Greatest Common Factor of 768,690,408 By Matching Biggest Common Factor Method

Factors of 768

List of positive integer factors of 768 that divides 768 without a remainder.

1,2,3,4,6,8,12,16,24,32,48,64,96,128,192,256,384,768

Factors of 690

List of positive integer factors of 690 that divides 690 without a remainder.

1,2,3,5,6,10,15,23,30,46,69,115,138,230,345,690

Factors of 408

List of positive integer factors of 408 that divides 408 without a remainder.

1,2,3,4,6,8,12,17,24,34,51,68,102,136,204,408

Greatest Common Factor

We found the factors 768,690,408 . The biggest common factor number is the GCF number.
So the greatest common factor 768,690,408 is 6.


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 60/768, 85/690, 113/408

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 60/768, 85/690, 113/408?

Answer: LCM of Numerators as per given numbers 60/768, 85/690, 113/408 is

LCM of Numerators i.e. for 60,85,113 is 115260

GCF of denominators i.e. for 768,690,408 is 6.

Thus, LCM of Fractions is 19210.Finally, LCM of Fractions for 60/768, 85/690, 113/408 is 19210.