Least Common Multiple of 824/567, 7205/689

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 824/567, 7205/689 quickly i.e. 5936920 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 824/567, 7205/689 is 5936920.

LCM(824/567, 7205/689) = 5936920

LCM of 824/567, 7205/689

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 824/567,7205/689

Given numbers are 824/567,7205/689

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 824,7205

Least Common Multiple of Numerators i.e. LCM of 824,7205 is 5936920.

GCF of Denominators means GCF of 567,689 as per the given fractions.

GCF of 567,689 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 824,7205

LCM of Fractions 824/567,7205/689 is 5936920

Given numbers has no common factors except 1. So, there LCM is their product i.e 5936920

Least Common Multiple of 824,7205 with GCF Formula

Least Common Multiple of 824,7205 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 824,7205 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(824,7205) = 1

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

GCF(824,7205) x common factors =1 x 1 = 1

LCM(824,7205) = ( 824 × 7205 ) / 1

LCM(824,7205) = 5936920 / 1

LCM(824,7205) = 5936920


Lets's calculate GCF of 567,689

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5936920/1

Therefore the LCM of Fractions 824/567,7205/689 is 5936920

Greatest Common Factor of 567,689 By Matching Biggest Common Factor Method

Greatest Common Factor of 567,689 By Matching Biggest Common Factor Method

Factors of 567

List of positive integer factors of 567 that divides 567 without a remainder.

1,3,7,9,21,27,63,81,189,567

Factors of 689

List of positive integer factors of 689 that divides 689 without a remainder.

1,13,53,689

Greatest Common Factor

We found the factors 567,689 . The biggest common factor number is the GCF number.
So the greatest common factor 567,689 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 824/567, 7205/689

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 824/567, 7205/689?

Answer: LCM of Numerators as per given numbers 824/567, 7205/689 is

LCM of Numerators i.e. for 824,7205 is 5936920

GCF of denominators i.e. for 567,689 is 1.

Thus, LCM of Fractions is 5936920.Finally, LCM of Fractions for 824/567, 7205/689 is 5936920.