Least Common Multiple of 2201/104, 7313/418

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 2201/104, 7313/418 quickly i.e. 226703/2 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 2201/104, 7313/418 is 226703/2.

LCM(2201/104, 7313/418) = 226703/2

LCM of 2201/104, 7313/418

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 2201/104,7313/418

Given numbers are 2201/104,7313/418

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 2201,7313

Least Common Multiple of Numerators i.e. LCM of 2201,7313 is 226703.

GCF of Denominators means GCF of 104,418 as per the given fractions.

GCF of 104,418 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 2201,7313

LCM of Fractions 2201/104,7313/418 is 226703/2

71 2201, 7313
31, 103

∴ So the LCM of the given numbers is 71 x 31 x 103 = 226703

Least Common Multiple of 2201,7313 with GCF Formula

Least Common Multiple of 2201,7313 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 2201,7313 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(2201,7313) = 71

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

GCF(2201,7313) x common factors =71 x 1 = 71

LCM(2201,7313) = ( 2201 × 7313 ) / 71

LCM(2201,7313) = 16095913 / 71

LCM(2201,7313) = 226703


Lets's calculate GCF of 104,418

2 104, 418
52, 209

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 226703/2

Therefore the LCM of Fractions 2201/104,7313/418 is 226703/2

Greatest Common Factor of 104,418 By Matching Biggest Common Factor Method

Greatest Common Factor of 104,418 By Matching Biggest Common Factor Method

Factors of 104

List of positive integer factors of 104 that divides 104 without a remainder.

1,2,4,8,13,26,52,104

Factors of 418

List of positive integer factors of 418 that divides 418 without a remainder.

1,2,11,19,22,38,209,418

Greatest Common Factor

We found the factors 104,418 . The biggest common factor number is the GCF number.
So the greatest common factor 104,418 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 2201/104, 7313/418

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 2201/104, 7313/418?

Answer: LCM of Numerators as per given numbers 2201/104, 7313/418 is

LCM of Numerators i.e. for 2201,7313 is 226703

GCF of denominators i.e. for 104,418 is 2.

Thus, LCM of Fractions is 226703/2.Finally, LCM of Fractions for 2201/104, 7313/418 is 226703/2.