Least Common Multiple of 18/318, 664/328, 460/120

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 18/318, 664/328, 460/120 quickly i.e. 343620 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 18/318, 664/328, 460/120 is 343620.

LCM(18/318, 664/328, 460/120) = 343620

LCM of 18/318, 664/328, 460/120

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 18/318,664/328,460/120

Given numbers are 18/318,664/328,460/120

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 18,664,460

Least Common Multiple of Numerators i.e. LCM of 18,664,460 is 687240.

GCF of Denominators means GCF of 318,328,120 as per the given fractions.

GCF of 318,328,120 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 18,664,460

LCM of Fractions 18/318,664/328,460/120 is 343620

2 18, 664, 460
2 9, 332, 230
9, 166, 115

∴ So the LCM of the given numbers is 2 x 2 x 9 x 166 x 115 = 687240

Least Common Multiple of 18,664,460 with GCF Formula

Least Common Multiple of 18,664,460 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 18,664,460 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(18,664,460) = 2

common factors(in case of two or more numbers have common factors) = 4

GCF(18,664,460) x common factors =2 x 4 = 8

LCM(18,664,460) = ( 18 × 664 × 460 ) / 8

LCM(18,664,460) = 5497920 / 8

LCM(18,664,460) = 687240


Lets's calculate GCF of 318,328,120

2 318, 328, 120
159, 164, 60

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 687240/2

Therefore the LCM of Fractions 18/318,664/328,460/120 is 343620

Greatest Common Factor of 318,328,120 By Matching Biggest Common Factor Method

Greatest Common Factor of 318,328,120 By Matching Biggest Common Factor Method

Factors of 318

List of positive integer factors of 318 that divides 318 without a remainder.

1,2,3,6,53,106,159,318

Factors of 328

List of positive integer factors of 328 that divides 328 without a remainder.

1,2,4,8,41,82,164,328

Factors of 120

List of positive integer factors of 120 that divides 120 without a remainder.

1,2,3,4,5,6,8,10,12,15,20,24,30,40,60,120

Greatest Common Factor

We found the factors 318,328,120 . The biggest common factor number is the GCF number.
So the greatest common factor 318,328,120 is 2.


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 18/318, 664/328, 460/120

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 18/318, 664/328, 460/120?

Answer: LCM of Numerators as per given numbers 18/318, 664/328, 460/120 is

LCM of Numerators i.e. for 18,664,460 is 687240

GCF of denominators i.e. for 318,328,120 is 2.

Thus, LCM of Fractions is 343620.Finally, LCM of Fractions for 18/318, 664/328, 460/120 is 343620.