Least Common Multiple of 446/18, 160/31, 328/68

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 446/18, 160/31, 328/68 quickly i.e. 1462880 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 446/18, 160/31, 328/68 is 1462880.

LCM(446/18, 160/31, 328/68) = 1462880

LCM of 446/18, 160/31, 328/68

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 446/18,160/31,328/68

Given numbers are 446/18,160/31,328/68

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 446,160,328

Least Common Multiple of Numerators i.e. LCM of 446,160,328 is 1462880.

GCF of Denominators means GCF of 18,31,68 as per the given fractions.

GCF of 18,31,68 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 446,160,328

LCM of Fractions 446/18,160/31,328/68 is 1462880

2 446, 160, 328
2 223, 80, 164
2 223, 40, 82
223, 20, 41

∴ So the LCM of the given numbers is 2 x 2 x 2 x 223 x 20 x 41 = 1462880

Least Common Multiple of 446,160,328 with GCF Formula

Least Common Multiple of 446,160,328 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 446,160,328 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(446,160,328) = 2

common factors(in case of two or more numbers have common factors) = 8

GCF(446,160,328) x common factors =2 x 8 = 16

LCM(446,160,328) = ( 446 × 160 × 328 ) / 16

LCM(446,160,328) = 23406080 / 16

LCM(446,160,328) = 1462880


Lets's calculate GCF of 18,31,68

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1462880/1

Therefore the LCM of Fractions 446/18,160/31,328/68 is 1462880

Greatest Common Factor of 18,31,68 By Matching Biggest Common Factor Method

Greatest Common Factor of 18,31,68 By Matching Biggest Common Factor Method

Factors of 18

List of positive integer factors of 18 that divides 18 without a remainder.

1,2,3,6,9,18

Factors of 31

List of positive integer factors of 31 that divides 31 without a remainder.

1,31

Factors of 68

List of positive integer factors of 68 that divides 68 without a remainder.

1,2,4,17,34,68

Greatest Common Factor

We found the factors 18,31,68 . The biggest common factor number is the GCF number.
So the greatest common factor 18,31,68 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 446/18, 160/31, 328/68

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 446/18, 160/31, 328/68?

Answer: LCM of Numerators as per given numbers 446/18, 160/31, 328/68 is

LCM of Numerators i.e. for 446,160,328 is 1462880

GCF of denominators i.e. for 18,31,68 is 1.

Thus, LCM of Fractions is 1462880.Finally, LCM of Fractions for 446/18, 160/31, 328/68 is 1462880.