Least Common Multiple of 4231/318, 5410/6826

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 4231/318, 5410/6826 quickly i.e. 11444855 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 4231/318, 5410/6826 is 11444855.

LCM(4231/318, 5410/6826) = 11444855

LCM of 4231/318, 5410/6826

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 4231/318,5410/6826

Given numbers are 4231/318,5410/6826

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 4231,5410

Least Common Multiple of Numerators i.e. LCM of 4231,5410 is 22889710.

GCF of Denominators means GCF of 318,6826 as per the given fractions.

GCF of 318,6826 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 4231,5410

LCM of Fractions 4231/318,5410/6826 is 11444855

Given numbers has no common factors except 1. So, there LCM is their product i.e 22889710

Least Common Multiple of 4231,5410 with GCF Formula

Least Common Multiple of 4231,5410 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 4231,5410 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(4231,5410) = 1

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

GCF(4231,5410) x common factors =1 x 1 = 1

LCM(4231,5410) = ( 4231 × 5410 ) / 1

LCM(4231,5410) = 22889710 / 1

LCM(4231,5410) = 22889710


Lets's calculate GCF of 318,6826

2 318, 6826
159, 3413

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 22889710/2

Therefore the LCM of Fractions 4231/318,5410/6826 is 11444855

Greatest Common Factor of 318,6826 By Matching Biggest Common Factor Method

Greatest Common Factor of 318,6826 By Matching Biggest Common Factor Method

Factors of 318

List of positive integer factors of 318 that divides 318 without a remainder.

1,2,3,6,53,106,159,318

Factors of 6826

List of positive integer factors of 6826 that divides 6826 without a remainder.

1,2,3413,6826

Greatest Common Factor

We found the factors 318,6826 . The biggest common factor number is the GCF number.
So the greatest common factor 318,6826 is 2.


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 4231/318, 5410/6826

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 4231/318, 5410/6826?

Answer: LCM of Numerators as per given numbers 4231/318, 5410/6826 is

LCM of Numerators i.e. for 4231,5410 is 22889710

GCF of denominators i.e. for 318,6826 is 2.

Thus, LCM of Fractions is 11444855.Finally, LCM of Fractions for 4231/318, 5410/6826 is 11444855.