Least Common Multiple of 322/30, 763/33, 654/73

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 322/30, 763/33, 654/73 quickly i.e. 105294 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 322/30, 763/33, 654/73 is 105294.

LCM(322/30, 763/33, 654/73) = 105294

LCM of 322/30, 763/33, 654/73

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 322/30,763/33,654/73

Given numbers are 322/30,763/33,654/73

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 322,763,654

Least Common Multiple of Numerators i.e. LCM of 322,763,654 is 105294.

GCF of Denominators means GCF of 30,33,73 as per the given fractions.

GCF of 30,33,73 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 322,763,654

LCM of Fractions 322/30,763/33,654/73 is 105294

2 322, 763, 654
7 161, 763, 327
109 23, 109, 327
23, 1, 3

∴ So the LCM of the given numbers is 2 x 7 x 109 x 23 x 1 x 3 = 105294

Least Common Multiple of 322,763,654 with GCF Formula

Least Common Multiple of 322,763,654 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 322,763,654 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(322,763,654) = 1

common factors(in case of two or more numbers have common factors) = 1526

GCF(322,763,654) x common factors =1 x 1526 = 1526

LCM(322,763,654) = ( 322 × 763 × 654 ) / 1526

LCM(322,763,654) = 160678644 / 1526

LCM(322,763,654) = 105294


Lets's calculate GCF of 30,33,73

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 105294/1

Therefore the LCM of Fractions 322/30,763/33,654/73 is 105294

Greatest Common Factor of 30,33,73 By Matching Biggest Common Factor Method

Greatest Common Factor of 30,33,73 By Matching Biggest Common Factor Method

Factors of 30

List of positive integer factors of 30 that divides 30 without a remainder.

1,2,3,5,6,10,15,30

Factors of 33

List of positive integer factors of 33 that divides 33 without a remainder.

1,3,11,33

Factors of 73

List of positive integer factors of 73 that divides 73 without a remainder.

1,73

Greatest Common Factor

We found the factors 30,33,73 . The biggest common factor number is the GCF number.
So the greatest common factor 30,33,73 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 322/30, 763/33, 654/73

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 322/30, 763/33, 654/73?

Answer: LCM of Numerators as per given numbers 322/30, 763/33, 654/73 is

LCM of Numerators i.e. for 322,763,654 is 105294

GCF of denominators i.e. for 30,33,73 is 1.

Thus, LCM of Fractions is 105294.Finally, LCM of Fractions for 322/30, 763/33, 654/73 is 105294.