Least Common Multiple of 75/26, 51/15, 34/82, 96/304

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 75/26, 51/15, 34/82, 96/304 quickly i.e. 40800 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 75/26, 51/15, 34/82, 96/304 is 40800.

LCM(75/26, 51/15, 34/82, 96/304) = 40800

LCM of 75/26, 51/15, 34/82, 96/304

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 75/26,51/15,34/82,96/304

Given numbers are 75/26,51/15,34/82,96/304

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 75,51,34,96

Least Common Multiple of Numerators i.e. LCM of 75,51,34,96 is 40800.

GCF of Denominators means GCF of 26,15,82,304 as per the given fractions.

GCF of 26,15,82,304 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 75,51,34,96

LCM of Fractions 75/26,51/15,34/82,96/304 is 40800

2 75, 51, 34, 96
3 75, 51, 17, 48
17 25, 17, 17, 16
25, 1, 1, 16

∴ So the LCM of the given numbers is 2 x 3 x 17 x 25 x 1 x 1 x 16 = 40800

Least Common Multiple of 75,51,34,96 with GCF Formula

Least Common Multiple of 75,51,34,96 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 75,51,34,96 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(75,51,34,96) = 1

common factors(in case of two or more numbers have common factors) = 306

GCF(75,51,34,96) x common factors =1 x 306 = 306

LCM(75,51,34,96) = ( 75 × 51 × 34 × 96 ) / 306

LCM(75,51,34,96) = 12484800 / 306

LCM(75,51,34,96) = 40800


Lets's calculate GCF of 26,15,82,304

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 40800/1

Therefore the LCM of Fractions 75/26,51/15,34/82,96/304 is 40800

Greatest Common Factor of 26,15,82,304 By Matching Biggest Common Factor Method

Greatest Common Factor of 26,15,82,304 By Matching Biggest Common Factor Method

Factors of 26

List of positive integer factors of 26 that divides 26 without a remainder.

1,2,13,26

Factors of 15

List of positive integer factors of 15 that divides 15 without a remainder.

1,3,5,15

Factors of 82

List of positive integer factors of 82 that divides 82 without a remainder.

1,2,41,82

Factors of 304

List of positive integer factors of 304 that divides 304 without a remainder.

1,2,4,8,16,19,38,76,152,304

Greatest Common Factor

We found the factors 26,15,82,304 . The biggest common factor number is the GCF number.
So the greatest common factor 26,15,82,304 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 75/26, 51/15, 34/82, 96/304

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 75/26, 51/15, 34/82, 96/304?

Answer: LCM of Numerators as per given numbers 75/26, 51/15, 34/82, 96/304 is

LCM of Numerators i.e. for 75,51,34,96 is 40800

GCF of denominators i.e. for 26,15,82,304 is 1.

Thus, LCM of Fractions is 40800.Finally, LCM of Fractions for 75/26, 51/15, 34/82, 96/304 is 40800.