Least Common Multiple of 30/222, 4621/9288

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 30/222, 4621/9288 quickly i.e. 23105 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 30/222, 4621/9288 is 23105.

LCM(30/222, 4621/9288) = 23105

LCM of 30/222, 4621/9288

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 30/222,4621/9288

Given numbers are 30/222,4621/9288

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 30,4621

Least Common Multiple of Numerators i.e. LCM of 30,4621 is 138630.

GCF of Denominators means GCF of 222,9288 as per the given fractions.

GCF of 222,9288 is 6 as it is the largest common factor for these numbers.

Lets's calculate LCM of 30,4621

LCM of Fractions 30/222,4621/9288 is 23105

Given numbers has no common factors except 1. So, there LCM is their product i.e 138630

Least Common Multiple of 30,4621 with GCF Formula

Least Common Multiple of 30,4621 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 30,4621 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(30,4621) = 1

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

GCF(30,4621) x common factors =1 x 1 = 1

LCM(30,4621) = ( 30 × 4621 ) / 1

LCM(30,4621) = 138630 / 1

LCM(30,4621) = 138630


Lets's calculate GCF of 222,9288

2 222, 9288
3 111, 4644
37, 1548

∴ So the GCF of the given numbers is 2 x 3 = 6

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 138630/6

Therefore the LCM of Fractions 30/222,4621/9288 is 23105

Greatest Common Factor of 222,9288 By Matching Biggest Common Factor Method

Greatest Common Factor of 222,9288 By Matching Biggest Common Factor Method

Factors of 222

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

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

Factors of 9288

List of positive integer factors of 9288 that divides 9288 without a remainder.

1,2,3,4,6,8,9,12,18,24,27,36,43,54,72,86,108,129,172,216,258,344,387,516,774,1032,1161,1548,2322,3096,4644,9288

Greatest Common Factor

We found the factors 222,9288 . The biggest common factor number is the GCF number.
So the greatest common factor 222,9288 is 6.


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 30/222, 4621/9288

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 30/222, 4621/9288?

Answer: LCM of Numerators as per given numbers 30/222, 4621/9288 is

LCM of Numerators i.e. for 30,4621 is 138630

GCF of denominators i.e. for 222,9288 is 6.

Thus, LCM of Fractions is 23105.Finally, LCM of Fractions for 30/222, 4621/9288 is 23105.