Least Common Multiple of 34/96, 45/75, 260/381

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 34/96, 45/75, 260/381 quickly i.e. 13260 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 34/96, 45/75, 260/381 is 13260.

LCM(34/96, 45/75, 260/381) = 13260

LCM of 34/96, 45/75, 260/381

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 34/96,45/75,260/381

Given numbers are 34/96,45/75,260/381

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 34,45,260

Least Common Multiple of Numerators i.e. LCM of 34,45,260 is 39780.

GCF of Denominators means GCF of 96,75,381 as per the given fractions.

GCF of 96,75,381 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 34,45,260

LCM of Fractions 34/96,45/75,260/381 is 13260

2 34, 45, 260
5 17, 45, 130
17, 9, 26

∴ So the LCM of the given numbers is 2 x 5 x 17 x 9 x 26 = 39780

Least Common Multiple of 34,45,260 with GCF Formula

Least Common Multiple of 34,45,260 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 34,45,260 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(34,45,260) = 1

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

GCF(34,45,260) x common factors =1 x 10 = 10

LCM(34,45,260) = ( 34 × 45 × 260 ) / 10

LCM(34,45,260) = 397800 / 10

LCM(34,45,260) = 39780


Lets's calculate GCF of 96,75,381

3 96, 75, 381
32, 25, 127

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 39780/3

Therefore the LCM of Fractions 34/96,45/75,260/381 is 13260

Greatest Common Factor of 96,75,381 By Matching Biggest Common Factor Method

Greatest Common Factor of 96,75,381 By Matching Biggest Common Factor Method

Factors of 96

List of positive integer factors of 96 that divides 96 without a remainder.

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

Factors of 75

List of positive integer factors of 75 that divides 75 without a remainder.

1,3,5,15,25,75

Factors of 381

List of positive integer factors of 381 that divides 381 without a remainder.

1,3,127,381

Greatest Common Factor

We found the factors 96,75,381 . The biggest common factor number is the GCF number.
So the greatest common factor 96,75,381 is 3.


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 34/96, 45/75, 260/381

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 34/96, 45/75, 260/381?

Answer: LCM of Numerators as per given numbers 34/96, 45/75, 260/381 is

LCM of Numerators i.e. for 34,45,260 is 39780

GCF of denominators i.e. for 96,75,381 is 3.

Thus, LCM of Fractions is 13260.Finally, LCM of Fractions for 34/96, 45/75, 260/381 is 13260.