Least Common Multiple of 6714/720, 7174/555

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 6714/720, 7174/555 quickly i.e. 24083118/15 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 6714/720, 7174/555 is 24083118/15.

LCM(6714/720, 7174/555) = 24083118/15

LCM of 6714/720, 7174/555

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 6714/720,7174/555

Given numbers are 6714/720,7174/555

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 6714,7174

Least Common Multiple of Numerators i.e. LCM of 6714,7174 is 24083118.

GCF of Denominators means GCF of 720,555 as per the given fractions.

GCF of 720,555 is 15 as it is the largest common factor for these numbers.

Lets's calculate LCM of 6714,7174

LCM of Fractions 6714/720,7174/555 is 24083118/15

2 6714, 7174
3357, 3587

∴ So the LCM of the given numbers is 2 x 3357 x 3587 = 24083118

Least Common Multiple of 6714,7174 with GCF Formula

Least Common Multiple of 6714,7174 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 6714,7174 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(6714,7174) = 2

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

GCF(6714,7174) x common factors =2 x 1 = 2

LCM(6714,7174) = ( 6714 × 7174 ) / 2

LCM(6714,7174) = 48166236 / 2

LCM(6714,7174) = 24083118


Lets's calculate GCF of 720,555

3 720, 555
5 240, 185
48, 37

∴ So the GCF of the given numbers is 3 x 5 = 15

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 24083118/15

Therefore the LCM of Fractions 6714/720,7174/555 is 24083118/15

Greatest Common Factor of 720,555 By Matching Biggest Common Factor Method

Greatest Common Factor of 720,555 By Matching Biggest Common Factor Method

Factors of 720

List of positive integer factors of 720 that divides 720 without a remainder.

1,2,3,4,5,6,8,9,10,12,15,16,18,20,24,30,36,40,45,48,60,72,80,90,120,144,180,240,360,720

Factors of 555

List of positive integer factors of 555 that divides 555 without a remainder.

1,3,5,15,37,111,185,555

Greatest Common Factor

We found the factors 720,555 . The biggest common factor number is the GCF number.
So the greatest common factor 720,555 is 15.


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 6714/720, 7174/555

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 6714/720, 7174/555?

Answer: LCM of Numerators as per given numbers 6714/720, 7174/555 is

LCM of Numerators i.e. for 6714,7174 is 24083118

GCF of denominators i.e. for 720,555 is 15.

Thus, LCM of Fractions is 24083118/15.Finally, LCM of Fractions for 6714/720, 7174/555 is 24083118/15.