Least Common Multiple of 2226/50, 2862/136

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 2226/50, 2862/136 quickly i.e. 10017 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 2226/50, 2862/136 is 10017.

LCM(2226/50, 2862/136) = 10017

LCM of 2226/50, 2862/136

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 2226/50,2862/136

Given numbers are 2226/50,2862/136

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 2226,2862

Least Common Multiple of Numerators i.e. LCM of 2226,2862 is 20034.

GCF of Denominators means GCF of 50,136 as per the given fractions.

GCF of 50,136 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 2226,2862

LCM of Fractions 2226/50,2862/136 is 10017

2 2226, 2862
3 1113, 1431
53 371, 477
7, 9

∴ So the LCM of the given numbers is 2 x 3 x 53 x 7 x 9 = 20034

Least Common Multiple of 2226,2862 with GCF Formula

Least Common Multiple of 2226,2862 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 2226,2862 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(2226,2862) = 318

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

GCF(2226,2862) x common factors =318 x 1 = 318

LCM(2226,2862) = ( 2226 × 2862 ) / 318

LCM(2226,2862) = 6370812 / 318

LCM(2226,2862) = 20034


Lets's calculate GCF of 50,136

2 50, 136
25, 68

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 20034/2

Therefore the LCM of Fractions 2226/50,2862/136 is 10017

Greatest Common Factor of 50,136 By Matching Biggest Common Factor Method

Greatest Common Factor of 50,136 By Matching Biggest Common Factor Method

Factors of 50

List of positive integer factors of 50 that divides 50 without a remainder.

1,2,5,10,25,50

Factors of 136

List of positive integer factors of 136 that divides 136 without a remainder.

1,2,4,8,17,34,68,136

Greatest Common Factor

We found the factors 50,136 . The biggest common factor number is the GCF number.
So the greatest common factor 50,136 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 2226/50, 2862/136

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 2226/50, 2862/136?

Answer: LCM of Numerators as per given numbers 2226/50, 2862/136 is

LCM of Numerators i.e. for 2226,2862 is 20034

GCF of denominators i.e. for 50,136 is 2.

Thus, LCM of Fractions is 10017.Finally, LCM of Fractions for 2226/50, 2862/136 is 10017.