Least Common Multiple of 183/51, 313/12, 659/828

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 183/51, 313/12, 659/828 quickly i.e. 12582287 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 183/51, 313/12, 659/828 is 12582287.

LCM(183/51, 313/12, 659/828) = 12582287

LCM of 183/51, 313/12, 659/828

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 183/51,313/12,659/828

Given numbers are 183/51,313/12,659/828

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 183,313,659

Least Common Multiple of Numerators i.e. LCM of 183,313,659 is 37746861.

GCF of Denominators means GCF of 51,12,828 as per the given fractions.

GCF of 51,12,828 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 183,313,659

LCM of Fractions 183/51,313/12,659/828 is 12582287

Given numbers has no common factors except 1. So, there LCM is their product i.e 37746861

Least Common Multiple of 183,313,659 with GCF Formula

Least Common Multiple of 183,313,659 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 183,313,659 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(183,313,659) = 1

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

GCF(183,313,659) x common factors =1 x 1 = 1

LCM(183,313,659) = ( 183 × 313 × 659 ) / 1

LCM(183,313,659) = 37746861 / 1

LCM(183,313,659) = 37746861


Lets's calculate GCF of 51,12,828

3 51, 12, 828
17, 4, 276

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 37746861/3

Therefore the LCM of Fractions 183/51,313/12,659/828 is 12582287

Greatest Common Factor of 51,12,828 By Matching Biggest Common Factor Method

Greatest Common Factor of 51,12,828 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 12

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

1,2,3,4,6,12

Factors of 828

List of positive integer factors of 828 that divides 828 without a remainder.

1,2,3,4,6,9,12,18,23,36,46,69,92,138,207,276,414,828

Greatest Common Factor

We found the factors 51,12,828 . The biggest common factor number is the GCF number.
So the greatest common factor 51,12,828 is 3.


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 183/51, 313/12, 659/828

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 183/51, 313/12, 659/828?

Answer: LCM of Numerators as per given numbers 183/51, 313/12, 659/828 is

LCM of Numerators i.e. for 183,313,659 is 37746861

GCF of denominators i.e. for 51,12,828 is 3.

Thus, LCM of Fractions is 12582287.Finally, LCM of Fractions for 183/51, 313/12, 659/828 is 12582287.