Least Common Multiple of 15/766, 10/259, 538/454

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 15/766, 10/259, 538/454 quickly i.e. 8070 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 15/766, 10/259, 538/454 is 8070.

LCM(15/766, 10/259, 538/454) = 8070

LCM of 15/766, 10/259, 538/454

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 15/766,10/259,538/454

Given numbers are 15/766,10/259,538/454

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 15,10,538

Least Common Multiple of Numerators i.e. LCM of 15,10,538 is 8070.

GCF of Denominators means GCF of 766,259,454 as per the given fractions.

GCF of 766,259,454 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 15,10,538

LCM of Fractions 15/766,10/259,538/454 is 8070

2 15, 10, 538
5 15, 5, 269
3, 1, 269

∴ So the LCM of the given numbers is 2 x 5 x 3 x 1 x 269 = 8070

Least Common Multiple of 15,10,538 with GCF Formula

Least Common Multiple of 15,10,538 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 15,10,538 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(15,10,538) = 1

common factors(in case of two or more numbers have common factors) = 10

GCF(15,10,538) x common factors =1 x 10 = 10

LCM(15,10,538) = ( 15 × 10 × 538 ) / 10

LCM(15,10,538) = 80700 / 10

LCM(15,10,538) = 8070


Lets's calculate GCF of 766,259,454

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 8070/1

Therefore the LCM of Fractions 15/766,10/259,538/454 is 8070

Greatest Common Factor of 766,259,454 By Matching Biggest Common Factor Method

Greatest Common Factor of 766,259,454 By Matching Biggest Common Factor Method

Factors of 766

List of positive integer factors of 766 that divides 766 without a remainder.

1,2,383,766

Factors of 259

List of positive integer factors of 259 that divides 259 without a remainder.

1,7,37,259

Factors of 454

List of positive integer factors of 454 that divides 454 without a remainder.

1,2,227,454

Greatest Common Factor

We found the factors 766,259,454 . The biggest common factor number is the GCF number.
So the greatest common factor 766,259,454 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 15/766, 10/259, 538/454

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 15/766, 10/259, 538/454?

Answer: LCM of Numerators as per given numbers 15/766, 10/259, 538/454 is

LCM of Numerators i.e. for 15,10,538 is 8070

GCF of denominators i.e. for 766,259,454 is 1.

Thus, LCM of Fractions is 8070.Finally, LCM of Fractions for 15/766, 10/259, 538/454 is 8070.