Least Common Multiple of 5096/839, 6061/6902

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 5096/839, 6061/6902 quickly i.e. 30886856 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 5096/839, 6061/6902 is 30886856.

LCM(5096/839, 6061/6902) = 30886856

LCM of 5096/839, 6061/6902

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 5096/839,6061/6902

Given numbers are 5096/839,6061/6902

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 5096,6061

Least Common Multiple of Numerators i.e. LCM of 5096,6061 is 30886856.

GCF of Denominators means GCF of 839,6902 as per the given fractions.

GCF of 839,6902 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 5096,6061

LCM of Fractions 5096/839,6061/6902 is 30886856

Given numbers has no common factors except 1. So, there LCM is their product i.e 30886856

Least Common Multiple of 5096,6061 with GCF Formula

Least Common Multiple of 5096,6061 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 5096,6061 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(5096,6061) = 1

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

GCF(5096,6061) x common factors =1 x 1 = 1

LCM(5096,6061) = ( 5096 × 6061 ) / 1

LCM(5096,6061) = 30886856 / 1

LCM(5096,6061) = 30886856


Lets's calculate GCF of 839,6902

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 30886856/1

Therefore the LCM of Fractions 5096/839,6061/6902 is 30886856

Greatest Common Factor of 839,6902 By Matching Biggest Common Factor Method

Greatest Common Factor of 839,6902 By Matching Biggest Common Factor Method

Factors of 839

List of positive integer factors of 839 that divides 839 without a remainder.

1,839

Factors of 6902

List of positive integer factors of 6902 that divides 6902 without a remainder.

1,2,7,14,17,29,34,58,119,203,238,406,493,986,3451,6902

Greatest Common Factor

We found the factors 839,6902 . The biggest common factor number is the GCF number.
So the greatest common factor 839,6902 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 5096/839, 6061/6902

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 5096/839, 6061/6902?

Answer: LCM of Numerators as per given numbers 5096/839, 6061/6902 is

LCM of Numerators i.e. for 5096,6061 is 30886856

GCF of denominators i.e. for 839,6902 is 1.

Thus, LCM of Fractions is 30886856.Finally, LCM of Fractions for 5096/839, 6061/6902 is 30886856.