Least Common Multiple of 7239/784, 5624/5909

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 7239/784, 5624/5909 quickly i.e. 2142744 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 7239/784, 5624/5909 is 2142744.

LCM(7239/784, 5624/5909) = 2142744

LCM of 7239/784, 5624/5909

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 7239/784,5624/5909

Given numbers are 7239/784,5624/5909

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 7239,5624

Least Common Multiple of Numerators i.e. LCM of 7239,5624 is 2142744.

GCF of Denominators means GCF of 784,5909 as per the given fractions.

GCF of 784,5909 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 7239,5624

LCM of Fractions 7239/784,5624/5909 is 2142744

19 7239, 5624
381, 296

∴ So the LCM of the given numbers is 19 x 381 x 296 = 2142744

Least Common Multiple of 7239,5624 with GCF Formula

Least Common Multiple of 7239,5624 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 7239,5624 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(7239,5624) = 19

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

GCF(7239,5624) x common factors =19 x 1 = 19

LCM(7239,5624) = ( 7239 × 5624 ) / 19

LCM(7239,5624) = 40712136 / 19

LCM(7239,5624) = 2142744


Lets's calculate GCF of 784,5909

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2142744/1

Therefore the LCM of Fractions 7239/784,5624/5909 is 2142744

Greatest Common Factor of 784,5909 By Matching Biggest Common Factor Method

Greatest Common Factor of 784,5909 By Matching Biggest Common Factor Method

Factors of 784

List of positive integer factors of 784 that divides 784 without a remainder.

1,2,4,7,8,14,16,28,49,56,98,112,196,392,784

Factors of 5909

List of positive integer factors of 5909 that divides 5909 without a remainder.

1,19,311,5909

Greatest Common Factor

We found the factors 784,5909 . The biggest common factor number is the GCF number.
So the greatest common factor 784,5909 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 7239/784, 5624/5909

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 7239/784, 5624/5909?

Answer: LCM of Numerators as per given numbers 7239/784, 5624/5909 is

LCM of Numerators i.e. for 7239,5624 is 2142744

GCF of denominators i.e. for 784,5909 is 1.

Thus, LCM of Fractions is 2142744.Finally, LCM of Fractions for 7239/784, 5624/5909 is 2142744.