Least Common Multiple of 7221/742, 1456/6744

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 7221/742, 1456/6744 quickly i.e. 5256888 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 7221/742, 1456/6744 is 5256888.

LCM(7221/742, 1456/6744) = 5256888

LCM of 7221/742, 1456/6744

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 7221/742,1456/6744

Given numbers are 7221/742,1456/6744

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 7221,1456

Least Common Multiple of Numerators i.e. LCM of 7221,1456 is 10513776.

GCF of Denominators means GCF of 742,6744 as per the given fractions.

GCF of 742,6744 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 7221,1456

LCM of Fractions 7221/742,1456/6744 is 5256888

Given numbers has no common factors except 1. So, there LCM is their product i.e 10513776

Least Common Multiple of 7221,1456 with GCF Formula

Least Common Multiple of 7221,1456 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 7221,1456 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(7221,1456) = 1

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

GCF(7221,1456) x common factors =1 x 1 = 1

LCM(7221,1456) = ( 7221 × 1456 ) / 1

LCM(7221,1456) = 10513776 / 1

LCM(7221,1456) = 10513776


Lets's calculate GCF of 742,6744

2 742, 6744
371, 3372

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 10513776/2

Therefore the LCM of Fractions 7221/742,1456/6744 is 5256888

Greatest Common Factor of 742,6744 By Matching Biggest Common Factor Method

Greatest Common Factor of 742,6744 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 6744

List of positive integer factors of 6744 that divides 6744 without a remainder.

1,2,3,4,6,8,12,24,281,562,843,1124,1686,2248,3372,6744

Greatest Common Factor

We found the factors 742,6744 . The biggest common factor number is the GCF number.
So the greatest common factor 742,6744 is 2.


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 7221/742, 1456/6744

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 7221/742, 1456/6744?

Answer: LCM of Numerators as per given numbers 7221/742, 1456/6744 is

LCM of Numerators i.e. for 7221,1456 is 10513776

GCF of denominators i.e. for 742,6744 is 2.

Thus, LCM of Fractions is 5256888.Finally, LCM of Fractions for 7221/742, 1456/6744 is 5256888.