Least Common Multiple of 5008/742, 6523/685

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 5008/742, 6523/685 quickly i.e. 32667184 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 5008/742, 6523/685 is 32667184.

LCM(5008/742, 6523/685) = 32667184

LCM of 5008/742, 6523/685

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 5008/742,6523/685

Given numbers are 5008/742,6523/685

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 5008,6523

Least Common Multiple of Numerators i.e. LCM of 5008,6523 is 32667184.

GCF of Denominators means GCF of 742,685 as per the given fractions.

GCF of 742,685 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 5008,6523

LCM of Fractions 5008/742,6523/685 is 32667184

Given numbers has no common factors except 1. So, there LCM is their product i.e 32667184

Least Common Multiple of 5008,6523 with GCF Formula

Least Common Multiple of 5008,6523 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 5008,6523 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(5008,6523) = 1

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

GCF(5008,6523) x common factors =1 x 1 = 1

LCM(5008,6523) = ( 5008 × 6523 ) / 1

LCM(5008,6523) = 32667184 / 1

LCM(5008,6523) = 32667184


Lets's calculate GCF of 742,685

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 32667184/1

Therefore the LCM of Fractions 5008/742,6523/685 is 32667184

Greatest Common Factor of 742,685 By Matching Biggest Common Factor Method

Greatest Common Factor of 742,685 By Matching Biggest Common Factor Method

Factors of 742

List of positive integer factors of 742 that divides 742 without a remainder.

1,2,7,14,53,106,371,742

Factors of 685

List of positive integer factors of 685 that divides 685 without a remainder.

1,5,137,685

Greatest Common Factor

We found the factors 742,685 . The biggest common factor number is the GCF number.
So the greatest common factor 742,685 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 5008/742, 6523/685

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 5008/742, 6523/685?

Answer: LCM of Numerators as per given numbers 5008/742, 6523/685 is

LCM of Numerators i.e. for 5008,6523 is 32667184

GCF of denominators i.e. for 742,685 is 1.

Thus, LCM of Fractions is 32667184.Finally, LCM of Fractions for 5008/742, 6523/685 is 32667184.