Least Common Multiple of 18/106, 51/856, 512/337

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 18/106, 51/856, 512/337 quickly i.e. 78336 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 18/106, 51/856, 512/337 is 78336.

LCM(18/106, 51/856, 512/337) = 78336

LCM of 18/106, 51/856, 512/337

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 18/106,51/856,512/337

Given numbers are 18/106,51/856,512/337

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 18,51,512

Least Common Multiple of Numerators i.e. LCM of 18,51,512 is 78336.

GCF of Denominators means GCF of 106,856,337 as per the given fractions.

GCF of 106,856,337 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 18,51,512

LCM of Fractions 18/106,51/856,512/337 is 78336

2 18, 51, 512
3 9, 51, 256
3, 17, 256

∴ So the LCM of the given numbers is 2 x 3 x 3 x 17 x 256 = 78336

Least Common Multiple of 18,51,512 with GCF Formula

Least Common Multiple of 18,51,512 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 18,51,512 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(18,51,512) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(18,51,512) x common factors =1 x 6 = 6

LCM(18,51,512) = ( 18 × 51 × 512 ) / 6

LCM(18,51,512) = 470016 / 6

LCM(18,51,512) = 78336


Lets's calculate GCF of 106,856,337

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 78336/1

Therefore the LCM of Fractions 18/106,51/856,512/337 is 78336

Greatest Common Factor of 106,856,337 By Matching Biggest Common Factor Method

Greatest Common Factor of 106,856,337 By Matching Biggest Common Factor Method

Factors of 106

List of positive integer factors of 106 that divides 106 without a remainder.

1,2,53,106

Factors of 856

List of positive integer factors of 856 that divides 856 without a remainder.

1,2,4,8,107,214,428,856

Factors of 337

List of positive integer factors of 337 that divides 337 without a remainder.

1,337

Greatest Common Factor

We found the factors 106,856,337 . The biggest common factor number is the GCF number.
So the greatest common factor 106,856,337 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 18/106, 51/856, 512/337

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 18/106, 51/856, 512/337?

Answer: LCM of Numerators as per given numbers 18/106, 51/856, 512/337 is

LCM of Numerators i.e. for 18,51,512 is 78336

GCF of denominators i.e. for 106,856,337 is 1.

Thus, LCM of Fractions is 78336.Finally, LCM of Fractions for 18/106, 51/856, 512/337 is 78336.