Least Common Multiple of 2036/466, 8179/1216

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 2036/466, 8179/1216 quickly i.e. 8326222 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 2036/466, 8179/1216 is 8326222.

LCM(2036/466, 8179/1216) = 8326222

LCM of 2036/466, 8179/1216

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 2036/466,8179/1216

Given numbers are 2036/466,8179/1216

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 2036,8179

Least Common Multiple of Numerators i.e. LCM of 2036,8179 is 16652444.

GCF of Denominators means GCF of 466,1216 as per the given fractions.

GCF of 466,1216 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 2036,8179

LCM of Fractions 2036/466,8179/1216 is 8326222

Given numbers has no common factors except 1. So, there LCM is their product i.e 16652444

Least Common Multiple of 2036,8179 with GCF Formula

Least Common Multiple of 2036,8179 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 2036,8179 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(2036,8179) = 1

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

GCF(2036,8179) x common factors =1 x 1 = 1

LCM(2036,8179) = ( 2036 × 8179 ) / 1

LCM(2036,8179) = 16652444 / 1

LCM(2036,8179) = 16652444


Lets's calculate GCF of 466,1216

2 466, 1216
233, 608

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 16652444/2

Therefore the LCM of Fractions 2036/466,8179/1216 is 8326222

Greatest Common Factor of 466,1216 By Matching Biggest Common Factor Method

Greatest Common Factor of 466,1216 By Matching Biggest Common Factor Method

Factors of 466

List of positive integer factors of 466 that divides 466 without a remainder.

1,2,233,466

Factors of 1216

List of positive integer factors of 1216 that divides 1216 without a remainder.

1,2,4,8,16,19,32,38,64,76,152,304,608,1216

Greatest Common Factor

We found the factors 466,1216 . The biggest common factor number is the GCF number.
So the greatest common factor 466,1216 is 2.


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Frequently Asked Questions on Fractional LCM of 2036/466, 8179/1216

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 2036/466, 8179/1216?

Answer: LCM of Numerators as per given numbers 2036/466, 8179/1216 is

LCM of Numerators i.e. for 2036,8179 is 16652444

GCF of denominators i.e. for 466,1216 is 2.

Thus, LCM of Fractions is 8326222.Finally, LCM of Fractions for 2036/466, 8179/1216 is 8326222.