Least Common Multiple of 7224/153, 7743/4052

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 7224/153, 7743/4052 quickly i.e. 18645144 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 7224/153, 7743/4052 is 18645144.

LCM(7224/153, 7743/4052) = 18645144

LCM of 7224/153, 7743/4052

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 7224/153,7743/4052

Given numbers are 7224/153,7743/4052

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 7224,7743

Least Common Multiple of Numerators i.e. LCM of 7224,7743 is 18645144.

GCF of Denominators means GCF of 153,4052 as per the given fractions.

GCF of 153,4052 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 7224,7743

LCM of Fractions 7224/153,7743/4052 is 18645144

3 7224, 7743
2408, 2581

∴ So the LCM of the given numbers is 3 x 2408 x 2581 = 18645144

Least Common Multiple of 7224,7743 with GCF Formula

Least Common Multiple of 7224,7743 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 7224,7743 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(7224,7743) = 3

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

GCF(7224,7743) x common factors =3 x 1 = 3

LCM(7224,7743) = ( 7224 × 7743 ) / 3

LCM(7224,7743) = 55935432 / 3

LCM(7224,7743) = 18645144


Lets's calculate GCF of 153,4052

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 18645144/1

Therefore the LCM of Fractions 7224/153,7743/4052 is 18645144

Greatest Common Factor of 153,4052 By Matching Biggest Common Factor Method

Greatest Common Factor of 153,4052 By Matching Biggest Common Factor Method

Factors of 153

List of positive integer factors of 153 that divides 153 without a remainder.

1,3,9,17,51,153

Factors of 4052

List of positive integer factors of 4052 that divides 4052 without a remainder.

1,2,4,1013,2026,4052

Greatest Common Factor

We found the factors 153,4052 . The biggest common factor number is the GCF number.
So the greatest common factor 153,4052 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 7224/153, 7743/4052

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 7224/153, 7743/4052?

Answer: LCM of Numerators as per given numbers 7224/153, 7743/4052 is

LCM of Numerators i.e. for 7224,7743 is 18645144

GCF of denominators i.e. for 153,4052 is 1.

Thus, LCM of Fractions is 18645144.Finally, LCM of Fractions for 7224/153, 7743/4052 is 18645144.