Least Common Multiple of 5278/838, 3851/6846

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 5278/838, 3851/6846 quickly i.e. 10162789 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 5278/838, 3851/6846 is 10162789.

LCM(5278/838, 3851/6846) = 10162789

LCM of 5278/838, 3851/6846

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 5278/838,3851/6846

Given numbers are 5278/838,3851/6846

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 5278,3851

Least Common Multiple of Numerators i.e. LCM of 5278,3851 is 20325578.

GCF of Denominators means GCF of 838,6846 as per the given fractions.

GCF of 838,6846 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 5278,3851

LCM of Fractions 5278/838,3851/6846 is 10162789

Given numbers has no common factors except 1. So, there LCM is their product i.e 20325578

Least Common Multiple of 5278,3851 with GCF Formula

Least Common Multiple of 5278,3851 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 5278,3851 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(5278,3851) = 1

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

GCF(5278,3851) x common factors =1 x 1 = 1

LCM(5278,3851) = ( 5278 × 3851 ) / 1

LCM(5278,3851) = 20325578 / 1

LCM(5278,3851) = 20325578


Lets's calculate GCF of 838,6846

2 838, 6846
419, 3423

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 20325578/2

Therefore the LCM of Fractions 5278/838,3851/6846 is 10162789

Greatest Common Factor of 838,6846 By Matching Biggest Common Factor Method

Greatest Common Factor of 838,6846 By Matching Biggest Common Factor Method

Factors of 838

List of positive integer factors of 838 that divides 838 without a remainder.

1,2,419,838

Factors of 6846

List of positive integer factors of 6846 that divides 6846 without a remainder.

1,2,3,6,7,14,21,42,163,326,489,978,1141,2282,3423,6846

Greatest Common Factor

We found the factors 838,6846 . The biggest common factor number is the GCF number.
So the greatest common factor 838,6846 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 5278/838, 3851/6846

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 5278/838, 3851/6846?

Answer: LCM of Numerators as per given numbers 5278/838, 3851/6846 is

LCM of Numerators i.e. for 5278,3851 is 20325578

GCF of denominators i.e. for 838,6846 is 2.

Thus, LCM of Fractions is 10162789.Finally, LCM of Fractions for 5278/838, 3851/6846 is 10162789.