Least Common Multiple of 228/12, 513/54, 626/234

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 228/12, 513/54, 626/234 quickly i.e. 107046 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 228/12, 513/54, 626/234 is 107046.

LCM(228/12, 513/54, 626/234) = 107046

LCM of 228/12, 513/54, 626/234

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 228/12,513/54,626/234

Given numbers are 228/12,513/54,626/234

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 228,513,626

Least Common Multiple of Numerators i.e. LCM of 228,513,626 is 642276.

GCF of Denominators means GCF of 12,54,234 as per the given fractions.

GCF of 12,54,234 is 6 as it is the largest common factor for these numbers.

Lets's calculate LCM of 228,513,626

LCM of Fractions 228/12,513/54,626/234 is 107046

2 228, 513, 626
3 114, 513, 313
19 38, 171, 313
2, 9, 313

∴ So the LCM of the given numbers is 2 x 3 x 19 x 2 x 9 x 313 = 642276

Least Common Multiple of 228,513,626 with GCF Formula

Least Common Multiple of 228,513,626 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 228,513,626 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(228,513,626) = 1

common factors(in case of two or more numbers have common factors) = 114

GCF(228,513,626) x common factors =1 x 114 = 114

LCM(228,513,626) = ( 228 × 513 × 626 ) / 114

LCM(228,513,626) = 73219464 / 114

LCM(228,513,626) = 642276


Lets's calculate GCF of 12,54,234

2 12, 54, 234
3 6, 27, 117
2, 9, 39

∴ So the GCF of the given numbers is 2 x 3 = 6

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 642276/6

Therefore the LCM of Fractions 228/12,513/54,626/234 is 107046

Greatest Common Factor of 12,54,234 By Matching Biggest Common Factor Method

Greatest Common Factor of 12,54,234 By Matching Biggest Common Factor Method

Factors of 12

List of positive integer factors of 12 that divides 12 without a remainder.

1,2,3,4,6,12

Factors of 54

List of positive integer factors of 54 that divides 54 without a remainder.

1,2,3,6,9,18,27,54

Factors of 234

List of positive integer factors of 234 that divides 234 without a remainder.

1,2,3,6,9,13,18,26,39,78,117,234

Greatest Common Factor

We found the factors 12,54,234 . The biggest common factor number is the GCF number.
So the greatest common factor 12,54,234 is 6.


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 228/12, 513/54, 626/234

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 228/12, 513/54, 626/234?

Answer: LCM of Numerators as per given numbers 228/12, 513/54, 626/234 is

LCM of Numerators i.e. for 228,513,626 is 642276

GCF of denominators i.e. for 12,54,234 is 6.

Thus, LCM of Fractions is 107046.Finally, LCM of Fractions for 228/12, 513/54, 626/234 is 107046.