Least Common Multiple of 182/218, 244/308

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 182/218, 244/308 quickly i.e. 11102 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 182/218, 244/308 is 11102.

LCM(182/218, 244/308) = 11102

LCM of 182/218, 244/308

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 182/218,244/308

Given numbers are 182/218,244/308

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 182,244

Least Common Multiple of Numerators i.e. LCM of 182,244 is 22204.

GCF of Denominators means GCF of 218,308 as per the given fractions.

GCF of 218,308 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 182,244

LCM of Fractions 182/218,244/308 is 11102

2 182, 244
91, 122

∴ So the LCM of the given numbers is 2 x 91 x 122 = 22204

Least Common Multiple of 182,244 with GCF Formula

Least Common Multiple of 182,244 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 182,244 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(182,244) = 2

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

GCF(182,244) x common factors =2 x 1 = 2

LCM(182,244) = ( 182 × 244 ) / 2

LCM(182,244) = 44408 / 2

LCM(182,244) = 22204


Lets's calculate GCF of 218,308

2 218, 308
109, 154

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 22204/2

Therefore the LCM of Fractions 182/218,244/308 is 11102

Greatest Common Factor of 218,308 By Matching Biggest Common Factor Method

Greatest Common Factor of 218,308 By Matching Biggest Common Factor Method

Factors of 218

List of positive integer factors of 218 that divides 218 without a remainder.

1,2,109,218

Factors of 308

List of positive integer factors of 308 that divides 308 without a remainder.

1,2,4,7,11,14,22,28,44,77,154,308

Greatest Common Factor

We found the factors 218,308 . The biggest common factor number is the GCF number.
So the greatest common factor 218,308 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 182/218, 244/308

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 182/218, 244/308?

Answer: LCM of Numerators as per given numbers 182/218, 244/308 is

LCM of Numerators i.e. for 182,244 is 22204

GCF of denominators i.e. for 218,308 is 2.

Thus, LCM of Fractions is 11102.Finally, LCM of Fractions for 182/218, 244/308 is 11102.