Least Common Multiple of 907/256, 789/843, 300/950

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 907/256, 789/843, 300/950 quickly i.e. 71562300 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 907/256, 789/843, 300/950 is 71562300.

LCM(907/256, 789/843, 300/950) = 71562300

LCM of 907/256, 789/843, 300/950

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 907/256,789/843,300/950

Given numbers are 907/256,789/843,300/950

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 907,789,300

Least Common Multiple of Numerators i.e. LCM of 907,789,300 is 71562300.

GCF of Denominators means GCF of 256,843,950 as per the given fractions.

GCF of 256,843,950 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 907,789,300

LCM of Fractions 907/256,789/843,300/950 is 71562300

3 907, 789, 300
907, 263, 100

∴ So the LCM of the given numbers is 3 x 907 x 263 x 100 = 71562300

Least Common Multiple of 907,789,300 with GCF Formula

Least Common Multiple of 907,789,300 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 907,789,300 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(907,789,300) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(907,789,300) x common factors =1 x 3 = 3

LCM(907,789,300) = ( 907 × 789 × 300 ) / 3

LCM(907,789,300) = 214686900 / 3

LCM(907,789,300) = 71562300


Lets's calculate GCF of 256,843,950

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 71562300/1

Therefore the LCM of Fractions 907/256,789/843,300/950 is 71562300

Greatest Common Factor of 256,843,950 By Matching Biggest Common Factor Method

Greatest Common Factor of 256,843,950 By Matching Biggest Common Factor Method

Factors of 256

List of positive integer factors of 256 that divides 256 without a remainder.

1,2,4,8,16,32,64,128,256

Factors of 843

List of positive integer factors of 843 that divides 843 without a remainder.

1,3,281,843

Factors of 950

List of positive integer factors of 950 that divides 950 without a remainder.

1,2,5,10,19,25,38,50,95,190,475,950

Greatest Common Factor

We found the factors 256,843,950 . The biggest common factor number is the GCF number.
So the greatest common factor 256,843,950 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 907/256, 789/843, 300/950

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 907/256, 789/843, 300/950?

Answer: LCM of Numerators as per given numbers 907/256, 789/843, 300/950 is

LCM of Numerators i.e. for 907,789,300 is 71562300

GCF of denominators i.e. for 256,843,950 is 1.

Thus, LCM of Fractions is 71562300.Finally, LCM of Fractions for 907/256, 789/843, 300/950 is 71562300.