Least Common Multiple of 18/336, 322/679, 141/322

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 18/336, 322/679, 141/322 quickly i.e. 19458 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 18/336, 322/679, 141/322 is 19458.

LCM(18/336, 322/679, 141/322) = 19458

LCM of 18/336, 322/679, 141/322

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 18/336,322/679,141/322

Given numbers are 18/336,322/679,141/322

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 18,322,141

Least Common Multiple of Numerators i.e. LCM of 18,322,141 is 136206.

GCF of Denominators means GCF of 336,679,322 as per the given fractions.

GCF of 336,679,322 is 7 as it is the largest common factor for these numbers.

Lets's calculate LCM of 18,322,141

LCM of Fractions 18/336,322/679,141/322 is 19458

2 18, 322, 141
3 9, 161, 141
3, 161, 47

∴ So the LCM of the given numbers is 2 x 3 x 3 x 161 x 47 = 136206

Least Common Multiple of 18,322,141 with GCF Formula

Least Common Multiple of 18,322,141 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 18,322,141 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(18,322,141) = 1

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

GCF(18,322,141) x common factors =1 x 6 = 6

LCM(18,322,141) = ( 18 × 322 × 141 ) / 6

LCM(18,322,141) = 817236 / 6

LCM(18,322,141) = 136206


Lets's calculate GCF of 336,679,322

7 336, 679, 322
48, 97, 46

∴ So the GCF of the given numbers is 7 = 7

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 136206/7

Therefore the LCM of Fractions 18/336,322/679,141/322 is 19458

Greatest Common Factor of 336,679,322 By Matching Biggest Common Factor Method

Greatest Common Factor of 336,679,322 By Matching Biggest Common Factor Method

Factors of 336

List of positive integer factors of 336 that divides 336 without a remainder.

1,2,3,4,6,7,8,12,14,16,21,24,28,42,48,56,84,112,168,336

Factors of 679

List of positive integer factors of 679 that divides 679 without a remainder.

1,7,97,679

Factors of 322

List of positive integer factors of 322 that divides 322 without a remainder.

1,2,7,14,23,46,161,322

Greatest Common Factor

We found the factors 336,679,322 . The biggest common factor number is the GCF number.
So the greatest common factor 336,679,322 is 7.


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 18/336, 322/679, 141/322

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 18/336, 322/679, 141/322?

Answer: LCM of Numerators as per given numbers 18/336, 322/679, 141/322 is

LCM of Numerators i.e. for 18,322,141 is 136206

GCF of denominators i.e. for 336,679,322 is 7.

Thus, LCM of Fractions is 19458.Finally, LCM of Fractions for 18/336, 322/679, 141/322 is 19458.