Least Common Multiple of 93/122, 1314/2232

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 93/122, 1314/2232 quickly i.e. 20367 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 93/122, 1314/2232 is 20367.

LCM(93/122, 1314/2232) = 20367

LCM of 93/122, 1314/2232

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 93/122,1314/2232

Given numbers are 93/122,1314/2232

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 93,1314

Least Common Multiple of Numerators i.e. LCM of 93,1314 is 40734.

GCF of Denominators means GCF of 122,2232 as per the given fractions.

GCF of 122,2232 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 93,1314

LCM of Fractions 93/122,1314/2232 is 20367

3 93, 1314
31, 438

∴ So the LCM of the given numbers is 3 x 31 x 438 = 40734

Least Common Multiple of 93,1314 with GCF Formula

Least Common Multiple of 93,1314 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 93,1314 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(93,1314) = 3

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

GCF(93,1314) x common factors =3 x 1 = 3

LCM(93,1314) = ( 93 × 1314 ) / 3

LCM(93,1314) = 122202 / 3

LCM(93,1314) = 40734


Lets's calculate GCF of 122,2232

2 122, 2232
61, 1116

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 40734/2

Therefore the LCM of Fractions 93/122,1314/2232 is 20367

Greatest Common Factor of 122,2232 By Matching Biggest Common Factor Method

Greatest Common Factor of 122,2232 By Matching Biggest Common Factor Method

Factors of 122

List of positive integer factors of 122 that divides 122 without a remainder.

1,2,61,122

Factors of 2232

List of positive integer factors of 2232 that divides 2232 without a remainder.

1,2,3,4,6,8,9,12,18,24,31,36,62,72,93,124,186,248,279,372,558,744,1116,2232

Greatest Common Factor

We found the factors 122,2232 . The biggest common factor number is the GCF number.
So the greatest common factor 122,2232 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 93/122, 1314/2232

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 93/122, 1314/2232?

Answer: LCM of Numerators as per given numbers 93/122, 1314/2232 is

LCM of Numerators i.e. for 93,1314 is 40734

GCF of denominators i.e. for 122,2232 is 2.

Thus, LCM of Fractions is 20367.Finally, LCM of Fractions for 93/122, 1314/2232 is 20367.