Least Common Multiple of 312/75, 242/91, 907/56

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 312/75, 242/91, 907/56 quickly i.e. 34241064 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 312/75, 242/91, 907/56 is 34241064.

LCM(312/75, 242/91, 907/56) = 34241064

LCM of 312/75, 242/91, 907/56

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 312/75,242/91,907/56

Given numbers are 312/75,242/91,907/56

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 312,242,907

Least Common Multiple of Numerators i.e. LCM of 312,242,907 is 34241064.

GCF of Denominators means GCF of 75,91,56 as per the given fractions.

GCF of 75,91,56 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 312,242,907

LCM of Fractions 312/75,242/91,907/56 is 34241064

2 312, 242, 907
156, 121, 907

∴ So the LCM of the given numbers is 2 x 156 x 121 x 907 = 34241064

Least Common Multiple of 312,242,907 with GCF Formula

Least Common Multiple of 312,242,907 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 312,242,907 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(312,242,907) = 1

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

GCF(312,242,907) x common factors =1 x 2 = 2

LCM(312,242,907) = ( 312 × 242 × 907 ) / 2

LCM(312,242,907) = 68482128 / 2

LCM(312,242,907) = 34241064


Lets's calculate GCF of 75,91,56

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 34241064/1

Therefore the LCM of Fractions 312/75,242/91,907/56 is 34241064

Greatest Common Factor of 75,91,56 By Matching Biggest Common Factor Method

Greatest Common Factor of 75,91,56 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 91

List of positive integer factors of 91 that divides 91 without a remainder.

1,7,13,91

Factors of 56

List of positive integer factors of 56 that divides 56 without a remainder.

1,2,4,7,8,14,28,56

Greatest Common Factor

We found the factors 75,91,56 . The biggest common factor number is the GCF number.
So the greatest common factor 75,91,56 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 312/75, 242/91, 907/56

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 312/75, 242/91, 907/56?

Answer: LCM of Numerators as per given numbers 312/75, 242/91, 907/56 is

LCM of Numerators i.e. for 312,242,907 is 34241064

GCF of denominators i.e. for 75,91,56 is 1.

Thus, LCM of Fractions is 34241064.Finally, LCM of Fractions for 312/75, 242/91, 907/56 is 34241064.