Least Common Multiple of 33/432, 91/328, 706/169

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 33/432, 91/328, 706/169 quickly i.e. 2120118 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 33/432, 91/328, 706/169 is 2120118.

LCM(33/432, 91/328, 706/169) = 2120118

LCM of 33/432, 91/328, 706/169

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 33/432,91/328,706/169

Given numbers are 33/432,91/328,706/169

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 33,91,706

Least Common Multiple of Numerators i.e. LCM of 33,91,706 is 2120118.

GCF of Denominators means GCF of 432,328,169 as per the given fractions.

GCF of 432,328,169 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 33,91,706

LCM of Fractions 33/432,91/328,706/169 is 2120118

Given numbers has no common factors except 1. So, there LCM is their product i.e 2120118

Least Common Multiple of 33,91,706 with GCF Formula

Least Common Multiple of 33,91,706 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 33,91,706 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(33,91,706) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(33,91,706) x common factors =1 x 1 = 1

LCM(33,91,706) = ( 33 × 91 × 706 ) / 1

LCM(33,91,706) = 2120118 / 1

LCM(33,91,706) = 2120118


Lets's calculate GCF of 432,328,169

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2120118/1

Therefore the LCM of Fractions 33/432,91/328,706/169 is 2120118

Greatest Common Factor of 432,328,169 By Matching Biggest Common Factor Method

Greatest Common Factor of 432,328,169 By Matching Biggest Common Factor Method

Factors of 432

List of positive integer factors of 432 that divides 432 without a remainder.

1,2,3,4,6,8,9,12,16,18,24,27,36,48,54,72,108,144,216,432

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 169

List of positive integer factors of 169 that divides 169 without a remainder.

1,13,169

Greatest Common Factor

We found the factors 432,328,169 . The biggest common factor number is the GCF number.
So the greatest common factor 432,328,169 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 33/432, 91/328, 706/169

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 33/432, 91/328, 706/169?

Answer: LCM of Numerators as per given numbers 33/432, 91/328, 706/169 is

LCM of Numerators i.e. for 33,91,706 is 2120118

GCF of denominators i.e. for 432,328,169 is 1.

Thus, LCM of Fractions is 2120118.Finally, LCM of Fractions for 33/432, 91/328, 706/169 is 2120118.