Least Common Multiple of 26/60, 17/25, 96/510

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 26/60, 17/25, 96/510 quickly i.e. 21216/5 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 26/60, 17/25, 96/510 is 21216/5.

LCM(26/60, 17/25, 96/510) = 21216/5

LCM of 26/60, 17/25, 96/510

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 26/60,17/25,96/510

Given numbers are 26/60,17/25,96/510

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 26,17,96

Least Common Multiple of Numerators i.e. LCM of 26,17,96 is 21216.

GCF of Denominators means GCF of 60,25,510 as per the given fractions.

GCF of 60,25,510 is 5 as it is the largest common factor for these numbers.

Lets's calculate LCM of 26,17,96

LCM of Fractions 26/60,17/25,96/510 is 21216/5

2 26, 17, 96
13, 17, 48

∴ So the LCM of the given numbers is 2 x 13 x 17 x 48 = 21216

Least Common Multiple of 26,17,96 with GCF Formula

Least Common Multiple of 26,17,96 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 26,17,96 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(26,17,96) = 1

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

GCF(26,17,96) x common factors =1 x 2 = 2

LCM(26,17,96) = ( 26 × 17 × 96 ) / 2

LCM(26,17,96) = 42432 / 2

LCM(26,17,96) = 21216


Lets's calculate GCF of 60,25,510

5 60, 25, 510
12, 5, 102

∴ So the GCF of the given numbers is 5 = 5

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 21216/5

Therefore the LCM of Fractions 26/60,17/25,96/510 is 21216/5

Greatest Common Factor of 60,25,510 By Matching Biggest Common Factor Method

Greatest Common Factor of 60,25,510 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 25

List of positive integer factors of 25 that divides 25 without a remainder.

1,5,25

Factors of 510

List of positive integer factors of 510 that divides 510 without a remainder.

1,2,3,5,6,10,15,17,30,34,51,85,102,170,255,510

Greatest Common Factor

We found the factors 60,25,510 . The biggest common factor number is the GCF number.
So the greatest common factor 60,25,510 is 5.


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 26/60, 17/25, 96/510

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 26/60, 17/25, 96/510?

Answer: LCM of Numerators as per given numbers 26/60, 17/25, 96/510 is

LCM of Numerators i.e. for 26,17,96 is 21216

GCF of denominators i.e. for 60,25,510 is 5.

Thus, LCM of Fractions is 21216/5.Finally, LCM of Fractions for 26/60, 17/25, 96/510 is 21216/5.