Least Common Multiple of 226/51, 183/60, 353/299

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 226/51, 183/60, 353/299 quickly i.e. 14599374 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 226/51, 183/60, 353/299 is 14599374.

LCM(226/51, 183/60, 353/299) = 14599374

LCM of 226/51, 183/60, 353/299

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 226/51,183/60,353/299

Given numbers are 226/51,183/60,353/299

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 226,183,353

Least Common Multiple of Numerators i.e. LCM of 226,183,353 is 14599374.

GCF of Denominators means GCF of 51,60,299 as per the given fractions.

GCF of 51,60,299 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 226,183,353

LCM of Fractions 226/51,183/60,353/299 is 14599374

Given numbers has no common factors except 1. So, there LCM is their product i.e 14599374

Least Common Multiple of 226,183,353 with GCF Formula

Least Common Multiple of 226,183,353 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 226,183,353 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(226,183,353) = 1

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

GCF(226,183,353) x common factors =1 x 1 = 1

LCM(226,183,353) = ( 226 × 183 × 353 ) / 1

LCM(226,183,353) = 14599374 / 1

LCM(226,183,353) = 14599374


Lets's calculate GCF of 51,60,299

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 14599374/1

Therefore the LCM of Fractions 226/51,183/60,353/299 is 14599374

Greatest Common Factor of 51,60,299 By Matching Biggest Common Factor Method

Greatest Common Factor of 51,60,299 By Matching Biggest Common Factor Method

Factors of 51

List of positive integer factors of 51 that divides 51 without a remainder.

1,3,17,51

Factors of 60

List of positive integer factors of 60 that divides 60 without a remainder.

1,2,3,4,5,6,10,12,15,20,30,60

Factors of 299

List of positive integer factors of 299 that divides 299 without a remainder.

1,13,23,299

Greatest Common Factor

We found the factors 51,60,299 . The biggest common factor number is the GCF number.
So the greatest common factor 51,60,299 is 1.


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 226/51, 183/60, 353/299

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 226/51, 183/60, 353/299?

Answer: LCM of Numerators as per given numbers 226/51, 183/60, 353/299 is

LCM of Numerators i.e. for 226,183,353 is 14599374

GCF of denominators i.e. for 51,60,299 is 1.

Thus, LCM of Fractions is 14599374.Finally, LCM of Fractions for 226/51, 183/60, 353/299 is 14599374.