Least Common Multiple of 34/75, 43/96, 46/57, 95/300

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 34/75, 43/96, 46/57, 95/300 quickly i.e. 3194470/3 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 34/75, 43/96, 46/57, 95/300 is 3194470/3.

LCM(34/75, 43/96, 46/57, 95/300) = 3194470/3

LCM of 34/75, 43/96, 46/57, 95/300

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 34/75,43/96,46/57,95/300

Given numbers are 34/75,43/96,46/57,95/300

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 34,43,46,95

Least Common Multiple of Numerators i.e. LCM of 34,43,46,95 is 3194470.

GCF of Denominators means GCF of 75,96,57,300 as per the given fractions.

GCF of 75,96,57,300 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 34,43,46,95

LCM of Fractions 34/75,43/96,46/57,95/300 is 3194470/3

2 34, 43, 46, 95
17, 43, 23, 95

∴ So the LCM of the given numbers is 2 x 17 x 43 x 23 x 95 = 3194470

Least Common Multiple of 34,43,46,95 with GCF Formula

Least Common Multiple of 34,43,46,95 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 34,43,46,95 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(34,43,46,95) = 1

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

GCF(34,43,46,95) x common factors =1 x 2 = 2

LCM(34,43,46,95) = ( 34 × 43 × 46 × 95 ) / 2

LCM(34,43,46,95) = 6388940 / 2

LCM(34,43,46,95) = 3194470


Lets's calculate GCF of 75,96,57,300

3 75, 96, 57, 300
25, 32, 19, 100

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3194470/3

Therefore the LCM of Fractions 34/75,43/96,46/57,95/300 is 3194470/3

Greatest Common Factor of 75,96,57,300 By Matching Biggest Common Factor Method

Greatest Common Factor of 75,96,57,300 By Matching Biggest Common Factor Method

Factors of 75

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

1,3,5,15,25,75

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 57

List of positive integer factors of 57 that divides 57 without a remainder.

1,3,19,57

Factors of 300

List of positive integer factors of 300 that divides 300 without a remainder.

1,2,3,4,5,6,10,12,15,20,25,30,50,60,75,100,150,300

Greatest Common Factor

We found the factors 75,96,57,300 . The biggest common factor number is the GCF number.
So the greatest common factor 75,96,57,300 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 34/75, 43/96, 46/57, 95/300

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 34/75, 43/96, 46/57, 95/300?

Answer: LCM of Numerators as per given numbers 34/75, 43/96, 46/57, 95/300 is

LCM of Numerators i.e. for 34,43,46,95 is 3194470

GCF of denominators i.e. for 75,96,57,300 is 3.

Thus, LCM of Fractions is 3194470/3.Finally, LCM of Fractions for 34/75, 43/96, 46/57, 95/300 is 3194470/3.