Least Common Multiple of 6717/732, 5203/7444

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 6717/732, 5203/7444 quickly i.e. 34948551/4 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 6717/732, 5203/7444 is 34948551/4.

LCM(6717/732, 5203/7444) = 34948551/4

LCM of 6717/732, 5203/7444

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 6717/732,5203/7444

Given numbers are 6717/732,5203/7444

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 6717,5203

Least Common Multiple of Numerators i.e. LCM of 6717,5203 is 34948551.

GCF of Denominators means GCF of 732,7444 as per the given fractions.

GCF of 732,7444 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 6717,5203

LCM of Fractions 6717/732,5203/7444 is 34948551/4

Given numbers has no common factors except 1. So, there LCM is their product i.e 34948551

Least Common Multiple of 6717,5203 with GCF Formula

Least Common Multiple of 6717,5203 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 6717,5203 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(6717,5203) = 1

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

GCF(6717,5203) x common factors =1 x 1 = 1

LCM(6717,5203) = ( 6717 × 5203 ) / 1

LCM(6717,5203) = 34948551 / 1

LCM(6717,5203) = 34948551


Lets's calculate GCF of 732,7444

2 732, 7444
2 366, 3722
183, 1861

∴ So the GCF of the given numbers is 2 x 2 = 4

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 34948551/4

Therefore the LCM of Fractions 6717/732,5203/7444 is 34948551/4

Greatest Common Factor of 732,7444 By Matching Biggest Common Factor Method

Greatest Common Factor of 732,7444 By Matching Biggest Common Factor Method

Factors of 732

List of positive integer factors of 732 that divides 732 without a remainder.

1,2,3,4,6,12,61,122,183,244,366,732

Factors of 7444

List of positive integer factors of 7444 that divides 7444 without a remainder.

1,2,4,1861,3722,7444

Greatest Common Factor

We found the factors 732,7444 . The biggest common factor number is the GCF number.
So the greatest common factor 732,7444 is 4.


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 6717/732, 5203/7444

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 6717/732, 5203/7444?

Answer: LCM of Numerators as per given numbers 6717/732, 5203/7444 is

LCM of Numerators i.e. for 6717,5203 is 34948551

GCF of denominators i.e. for 732,7444 is 4.

Thus, LCM of Fractions is 34948551/4.Finally, LCM of Fractions for 6717/732, 5203/7444 is 34948551/4.