Least Common Multiple of 7823/524, 3614/687

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 7823/524, 3614/687 quickly i.e. 28272322 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 7823/524, 3614/687 is 28272322.

LCM(7823/524, 3614/687) = 28272322

LCM of 7823/524, 3614/687

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 7823/524,3614/687

Given numbers are 7823/524,3614/687

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 7823,3614

Least Common Multiple of Numerators i.e. LCM of 7823,3614 is 28272322.

GCF of Denominators means GCF of 524,687 as per the given fractions.

GCF of 524,687 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 7823,3614

LCM of Fractions 7823/524,3614/687 is 28272322

Given numbers has no common factors except 1. So, there LCM is their product i.e 28272322

Least Common Multiple of 7823,3614 with GCF Formula

Least Common Multiple of 7823,3614 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 7823,3614 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(7823,3614) = 1

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

GCF(7823,3614) x common factors =1 x 1 = 1

LCM(7823,3614) = ( 7823 × 3614 ) / 1

LCM(7823,3614) = 28272322 / 1

LCM(7823,3614) = 28272322


Lets's calculate GCF of 524,687

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 28272322/1

Therefore the LCM of Fractions 7823/524,3614/687 is 28272322

Greatest Common Factor of 524,687 By Matching Biggest Common Factor Method

Greatest Common Factor of 524,687 By Matching Biggest Common Factor Method

Factors of 524

List of positive integer factors of 524 that divides 524 without a remainder.

1,2,4,131,262,524

Factors of 687

List of positive integer factors of 687 that divides 687 without a remainder.

1,3,229,687

Greatest Common Factor

We found the factors 524,687 . The biggest common factor number is the GCF number.
So the greatest common factor 524,687 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 7823/524, 3614/687

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 7823/524, 3614/687?

Answer: LCM of Numerators as per given numbers 7823/524, 3614/687 is

LCM of Numerators i.e. for 7823,3614 is 28272322

GCF of denominators i.e. for 524,687 is 1.

Thus, LCM of Fractions is 28272322.Finally, LCM of Fractions for 7823/524, 3614/687 is 28272322.