Least Common Multiple of 32/18, 72/353, 906/786

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 32/18, 72/353, 906/786 quickly i.e. 43488 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 32/18, 72/353, 906/786 is 43488.

LCM(32/18, 72/353, 906/786) = 43488

LCM of 32/18, 72/353, 906/786

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 32/18,72/353,906/786

Given numbers are 32/18,72/353,906/786

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 32,72,906

Least Common Multiple of Numerators i.e. LCM of 32,72,906 is 43488.

GCF of Denominators means GCF of 18,353,786 as per the given fractions.

GCF of 18,353,786 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 32,72,906

LCM of Fractions 32/18,72/353,906/786 is 43488

2 32, 72, 906
2 16, 36, 453
2 8, 18, 453
3 4, 9, 453
4, 3, 151

∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 4 x 3 x 151 = 43488

Least Common Multiple of 32,72,906 with GCF Formula

Least Common Multiple of 32,72,906 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 32,72,906 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(32,72,906) = 2

common factors(in case of two or more numbers have common factors) = 24

GCF(32,72,906) x common factors =2 x 24 = 48

LCM(32,72,906) = ( 32 × 72 × 906 ) / 48

LCM(32,72,906) = 2087424 / 48

LCM(32,72,906) = 43488


Lets's calculate GCF of 18,353,786

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 43488/1

Therefore the LCM of Fractions 32/18,72/353,906/786 is 43488

Greatest Common Factor of 18,353,786 By Matching Biggest Common Factor Method

Greatest Common Factor of 18,353,786 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 353

List of positive integer factors of 353 that divides 353 without a remainder.

1,353

Factors of 786

List of positive integer factors of 786 that divides 786 without a remainder.

1,2,3,6,131,262,393,786

Greatest Common Factor

We found the factors 18,353,786 . The biggest common factor number is the GCF number.
So the greatest common factor 18,353,786 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 32/18, 72/353, 906/786

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 32/18, 72/353, 906/786?

Answer: LCM of Numerators as per given numbers 32/18, 72/353, 906/786 is

LCM of Numerators i.e. for 32,72,906 is 43488

GCF of denominators i.e. for 18,353,786 is 1.

Thus, LCM of Fractions is 43488.Finally, LCM of Fractions for 32/18, 72/353, 906/786 is 43488.