Least Common Multiple of 7247/833, 5209/6889

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 7247/833, 5209/6889 quickly i.e. 37749623 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 7247/833, 5209/6889 is 37749623.

LCM(7247/833, 5209/6889) = 37749623

LCM of 7247/833, 5209/6889

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 7247/833,5209/6889

Given numbers are 7247/833,5209/6889

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 7247,5209

Least Common Multiple of Numerators i.e. LCM of 7247,5209 is 37749623.

GCF of Denominators means GCF of 833,6889 as per the given fractions.

GCF of 833,6889 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 7247,5209

LCM of Fractions 7247/833,5209/6889 is 37749623

Given numbers has no common factors except 1. So, there LCM is their product i.e 37749623

Least Common Multiple of 7247,5209 with GCF Formula

Least Common Multiple of 7247,5209 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 7247,5209 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(7247,5209) = 1

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

GCF(7247,5209) x common factors =1 x 1 = 1

LCM(7247,5209) = ( 7247 × 5209 ) / 1

LCM(7247,5209) = 37749623 / 1

LCM(7247,5209) = 37749623


Lets's calculate GCF of 833,6889

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 37749623/1

Therefore the LCM of Fractions 7247/833,5209/6889 is 37749623

Greatest Common Factor of 833,6889 By Matching Biggest Common Factor Method

Greatest Common Factor of 833,6889 By Matching Biggest Common Factor Method

Factors of 833

List of positive integer factors of 833 that divides 833 without a remainder.

1,7,17,49,119,833

Factors of 6889

List of positive integer factors of 6889 that divides 6889 without a remainder.

1,83,6889

Greatest Common Factor

We found the factors 833,6889 . The biggest common factor number is the GCF number.
So the greatest common factor 833,6889 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 7247/833, 5209/6889

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 7247/833, 5209/6889?

Answer: LCM of Numerators as per given numbers 7247/833, 5209/6889 is

LCM of Numerators i.e. for 7247,5209 is 37749623

GCF of denominators i.e. for 833,6889 is 1.

Thus, LCM of Fractions is 37749623.Finally, LCM of Fractions for 7247/833, 5209/6889 is 37749623.