Least Common Multiple of 5072/723, 9303/222

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 5072/723, 9303/222 quickly i.e. 15728272 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 5072/723, 9303/222 is 15728272.

LCM(5072/723, 9303/222) = 15728272

LCM of 5072/723, 9303/222

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 5072/723,9303/222

Given numbers are 5072/723,9303/222

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 5072,9303

Least Common Multiple of Numerators i.e. LCM of 5072,9303 is 47184816.

GCF of Denominators means GCF of 723,222 as per the given fractions.

GCF of 723,222 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 5072,9303

LCM of Fractions 5072/723,9303/222 is 15728272

Given numbers has no common factors except 1. So, there LCM is their product i.e 47184816

Least Common Multiple of 5072,9303 with GCF Formula

Least Common Multiple of 5072,9303 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 5072,9303 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(5072,9303) = 1

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

GCF(5072,9303) x common factors =1 x 1 = 1

LCM(5072,9303) = ( 5072 × 9303 ) / 1

LCM(5072,9303) = 47184816 / 1

LCM(5072,9303) = 47184816


Lets's calculate GCF of 723,222

3 723, 222
241, 74

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 47184816/3

Therefore the LCM of Fractions 5072/723,9303/222 is 15728272

Greatest Common Factor of 723,222 By Matching Biggest Common Factor Method

Greatest Common Factor of 723,222 By Matching Biggest Common Factor Method

Factors of 723

List of positive integer factors of 723 that divides 723 without a remainder.

1,3,241,723

Factors of 222

List of positive integer factors of 222 that divides 222 without a remainder.

1,2,3,6,37,74,111,222

Greatest Common Factor

We found the factors 723,222 . The biggest common factor number is the GCF number.
So the greatest common factor 723,222 is 3.


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 5072/723, 9303/222

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 5072/723, 9303/222?

Answer: LCM of Numerators as per given numbers 5072/723, 9303/222 is

LCM of Numerators i.e. for 5072,9303 is 47184816

GCF of denominators i.e. for 723,222 is 3.

Thus, LCM of Fractions is 15728272.Finally, LCM of Fractions for 5072/723, 9303/222 is 15728272.