Least Common Multiple of 10/313, 116/200, 418/944

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 10/313, 116/200, 418/944 quickly i.e. 121220 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 10/313, 116/200, 418/944 is 121220.

LCM(10/313, 116/200, 418/944) = 121220

LCM of 10/313, 116/200, 418/944

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 10/313,116/200,418/944

Given numbers are 10/313,116/200,418/944

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 10,116,418

Least Common Multiple of Numerators i.e. LCM of 10,116,418 is 121220.

GCF of Denominators means GCF of 313,200,944 as per the given fractions.

GCF of 313,200,944 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 10,116,418

LCM of Fractions 10/313,116/200,418/944 is 121220

2 10, 116, 418
5, 58, 209

∴ So the LCM of the given numbers is 2 x 5 x 58 x 209 = 121220

Least Common Multiple of 10,116,418 with GCF Formula

Least Common Multiple of 10,116,418 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 10,116,418 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(10,116,418) = 2

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

GCF(10,116,418) x common factors =2 x 2 = 4

LCM(10,116,418) = ( 10 × 116 × 418 ) / 4

LCM(10,116,418) = 484880 / 4

LCM(10,116,418) = 121220


Lets's calculate GCF of 313,200,944

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 121220/1

Therefore the LCM of Fractions 10/313,116/200,418/944 is 121220

Greatest Common Factor of 313,200,944 By Matching Biggest Common Factor Method

Greatest Common Factor of 313,200,944 By Matching Biggest Common Factor Method

Factors of 313

List of positive integer factors of 313 that divides 313 without a remainder.

1,313

Factors of 200

List of positive integer factors of 200 that divides 200 without a remainder.

1,2,4,5,8,10,20,25,40,50,100,200

Factors of 944

List of positive integer factors of 944 that divides 944 without a remainder.

1,2,4,8,16,59,118,236,472,944

Greatest Common Factor

We found the factors 313,200,944 . The biggest common factor number is the GCF number.
So the greatest common factor 313,200,944 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 10/313, 116/200, 418/944

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 10/313, 116/200, 418/944?

Answer: LCM of Numerators as per given numbers 10/313, 116/200, 418/944 is

LCM of Numerators i.e. for 10,116,418 is 121220

GCF of denominators i.e. for 313,200,944 is 1.

Thus, LCM of Fractions is 121220.Finally, LCM of Fractions for 10/313, 116/200, 418/944 is 121220.