Least Common Multiple of 660/36, 359/28, 706/892

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 660/36, 359/28, 706/892 quickly i.e. 20909955 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 660/36, 359/28, 706/892 is 20909955.

LCM(660/36, 359/28, 706/892) = 20909955

LCM of 660/36, 359/28, 706/892

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 660/36,359/28,706/892

Given numbers are 660/36,359/28,706/892

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 660,359,706

Least Common Multiple of Numerators i.e. LCM of 660,359,706 is 83639820.

GCF of Denominators means GCF of 36,28,892 as per the given fractions.

GCF of 36,28,892 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 660,359,706

LCM of Fractions 660/36,359/28,706/892 is 20909955

2 660, 359, 706
330, 359, 353

∴ So the LCM of the given numbers is 2 x 330 x 359 x 353 = 83639820

Least Common Multiple of 660,359,706 with GCF Formula

Least Common Multiple of 660,359,706 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 660,359,706 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(660,359,706) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(660,359,706) x common factors =1 x 2 = 2

LCM(660,359,706) = ( 660 × 359 × 706 ) / 2

LCM(660,359,706) = 167279640 / 2

LCM(660,359,706) = 83639820


Lets's calculate GCF of 36,28,892

2 36, 28, 892
2 18, 14, 446
9, 7, 223

∴ So the GCF of the given numbers is 2 x 2 = 4

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 83639820/4

Therefore the LCM of Fractions 660/36,359/28,706/892 is 20909955

Greatest Common Factor of 36,28,892 By Matching Biggest Common Factor Method

Greatest Common Factor of 36,28,892 By Matching Biggest Common Factor Method

Factors of 36

List of positive integer factors of 36 that divides 36 without a remainder.

1,2,3,4,6,9,12,18,36

Factors of 28

List of positive integer factors of 28 that divides 28 without a remainder.

1,2,4,7,14,28

Factors of 892

List of positive integer factors of 892 that divides 892 without a remainder.

1,2,4,223,446,892

Greatest Common Factor

We found the factors 36,28,892 . The biggest common factor number is the GCF number.
So the greatest common factor 36,28,892 is 4.


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 660/36, 359/28, 706/892

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 660/36, 359/28, 706/892?

Answer: LCM of Numerators as per given numbers 660/36, 359/28, 706/892 is

LCM of Numerators i.e. for 660,359,706 is 83639820

GCF of denominators i.e. for 36,28,892 is 4.

Thus, LCM of Fractions is 20909955.Finally, LCM of Fractions for 660/36, 359/28, 706/892 is 20909955.