Least Common Multiple of 9133/728, 4444/9464

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 9133/728, 4444/9464 quickly i.e. 40587052/728 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 9133/728, 4444/9464 is 40587052/728.

LCM(9133/728, 4444/9464) = 40587052/728

LCM of 9133/728, 4444/9464

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 9133/728,4444/9464

Given numbers are 9133/728,4444/9464

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 9133,4444

Least Common Multiple of Numerators i.e. LCM of 9133,4444 is 40587052.

GCF of Denominators means GCF of 728,9464 as per the given fractions.

GCF of 728,9464 is 728 as it is the largest common factor for these numbers.

Lets's calculate LCM of 9133,4444

LCM of Fractions 9133/728,4444/9464 is 40587052/728

Given numbers has no common factors except 1. So, there LCM is their product i.e 40587052

Least Common Multiple of 9133,4444 with GCF Formula

Least Common Multiple of 9133,4444 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 9133,4444 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(9133,4444) = 1

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

GCF(9133,4444) x common factors =1 x 1 = 1

LCM(9133,4444) = ( 9133 × 4444 ) / 1

LCM(9133,4444) = 40587052 / 1

LCM(9133,4444) = 40587052


Lets's calculate GCF of 728,9464

2 728, 9464
2 364, 4732
2 182, 2366
7 91, 1183
13 13, 169
1, 13

∴ So the GCF of the given numbers is 2 x 2 x 2 x 7 x 13 = 728

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 40587052/728

Therefore the LCM of Fractions 9133/728,4444/9464 is 40587052/728

Greatest Common Factor of 728,9464 By Matching Biggest Common Factor Method

Greatest Common Factor of 728,9464 By Matching Biggest Common Factor Method

Factors of 728

List of positive integer factors of 728 that divides 728 without a remainder.

1,2,4,7,8,13,14,26,28,52,56,91,104,182,364,728

Factors of 9464

List of positive integer factors of 9464 that divides 9464 without a remainder.

1,2,4,7,8,13,14,26,28,52,56,91,104,169,182,338,364,676,728,1183,1352,2366,4732,9464

Greatest Common Factor

We found the factors 728,9464 . The biggest common factor number is the GCF number.
So the greatest common factor 728,9464 is 728.


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 9133/728, 4444/9464

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 9133/728, 4444/9464?

Answer: LCM of Numerators as per given numbers 9133/728, 4444/9464 is

LCM of Numerators i.e. for 9133,4444 is 40587052

GCF of denominators i.e. for 728,9464 is 728.

Thus, LCM of Fractions is 40587052/728.Finally, LCM of Fractions for 9133/728, 4444/9464 is 40587052/728.