Least Common Multiple of 644/66, 180/93, 945/726

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 644/66, 180/93, 945/726 quickly i.e. 28980 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 644/66, 180/93, 945/726 is 28980.

LCM(644/66, 180/93, 945/726) = 28980

LCM of 644/66, 180/93, 945/726

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 644/66,180/93,945/726

Given numbers are 644/66,180/93,945/726

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 644,180,945

Least Common Multiple of Numerators i.e. LCM of 644,180,945 is 86940.

GCF of Denominators means GCF of 66,93,726 as per the given fractions.

GCF of 66,93,726 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 644,180,945

LCM of Fractions 644/66,180/93,945/726 is 28980

2 644, 180, 945
2 322, 90, 945
3 161, 45, 945
3 161, 15, 315
5 161, 5, 105
7 161, 1, 21
23, 1, 3

∴ So the LCM of the given numbers is 2 x 2 x 3 x 3 x 5 x 7 x 23 x 1 x 3 = 86940

Least Common Multiple of 644,180,945 with GCF Formula

Least Common Multiple of 644,180,945 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 644,180,945 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(644,180,945) = 1

common factors(in case of two or more numbers have common factors) = 1260

GCF(644,180,945) x common factors =1 x 1260 = 1260

LCM(644,180,945) = ( 644 × 180 × 945 ) / 1260

LCM(644,180,945) = 109544400 / 1260

LCM(644,180,945) = 86940


Lets's calculate GCF of 66,93,726

3 66, 93, 726
22, 31, 242

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 86940/3

Therefore the LCM of Fractions 644/66,180/93,945/726 is 28980

Greatest Common Factor of 66,93,726 By Matching Biggest Common Factor Method

Greatest Common Factor of 66,93,726 By Matching Biggest Common Factor Method

Factors of 66

List of positive integer factors of 66 that divides 66 without a remainder.

1,2,3,6,11,22,33,66

Factors of 93

List of positive integer factors of 93 that divides 93 without a remainder.

1,3,31,93

Factors of 726

List of positive integer factors of 726 that divides 726 without a remainder.

1,2,3,6,11,22,33,66,121,242,363,726

Greatest Common Factor

We found the factors 66,93,726 . The biggest common factor number is the GCF number.
So the greatest common factor 66,93,726 is 3.


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 644/66, 180/93, 945/726

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 644/66, 180/93, 945/726?

Answer: LCM of Numerators as per given numbers 644/66, 180/93, 945/726 is

LCM of Numerators i.e. for 644,180,945 is 86940

GCF of denominators i.e. for 66,93,726 is 3.

Thus, LCM of Fractions is 28980.Finally, LCM of Fractions for 644/66, 180/93, 945/726 is 28980.