Least Common Multiple of 5318/402, 1931/4215

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 5318/402, 1931/4215 quickly i.e. 10269058/3 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 5318/402, 1931/4215 is 10269058/3.

LCM(5318/402, 1931/4215) = 10269058/3

LCM of 5318/402, 1931/4215

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 5318/402,1931/4215

Given numbers are 5318/402,1931/4215

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 5318,1931

Least Common Multiple of Numerators i.e. LCM of 5318,1931 is 10269058.

GCF of Denominators means GCF of 402,4215 as per the given fractions.

GCF of 402,4215 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 5318,1931

LCM of Fractions 5318/402,1931/4215 is 10269058/3

Given numbers has no common factors except 1. So, there LCM is their product i.e 10269058

Least Common Multiple of 5318,1931 with GCF Formula

Least Common Multiple of 5318,1931 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 5318,1931 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(5318,1931) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(5318,1931) x common factors =1 x 1 = 1

LCM(5318,1931) = ( 5318 × 1931 ) / 1

LCM(5318,1931) = 10269058 / 1

LCM(5318,1931) = 10269058


Lets's calculate GCF of 402,4215

3 402, 4215
134, 1405

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 10269058/3

Therefore the LCM of Fractions 5318/402,1931/4215 is 10269058/3

Greatest Common Factor of 402,4215 By Matching Biggest Common Factor Method

Greatest Common Factor of 402,4215 By Matching Biggest Common Factor Method

Factors of 402

List of positive integer factors of 402 that divides 402 without a remainder.

1,2,3,6,67,134,201,402

Factors of 4215

List of positive integer factors of 4215 that divides 4215 without a remainder.

1,3,5,15,281,843,1405,4215

Greatest Common Factor

We found the factors 402,4215 . The biggest common factor number is the GCF number.
So the greatest common factor 402,4215 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 5318/402, 1931/4215

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 5318/402, 1931/4215?

Answer: LCM of Numerators as per given numbers 5318/402, 1931/4215 is

LCM of Numerators i.e. for 5318,1931 is 10269058

GCF of denominators i.e. for 402,4215 is 3.

Thus, LCM of Fractions is 10269058/3.Finally, LCM of Fractions for 5318/402, 1931/4215 is 10269058/3.