Least Common Multiple of 36/209, 36/767, 885/702

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 36/209, 36/767, 885/702 quickly i.e. 10620 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 36/209, 36/767, 885/702 is 10620.

LCM(36/209, 36/767, 885/702) = 10620

LCM of 36/209, 36/767, 885/702

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 36/209,36/767,885/702

Given numbers are 36/209,36/767,885/702

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 36,36,885

Least Common Multiple of Numerators i.e. LCM of 36,36,885 is 10620.

GCF of Denominators means GCF of 209,767,702 as per the given fractions.

GCF of 209,767,702 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 36,36,885

LCM of Fractions 36/209,36/767,885/702 is 10620

2 36, 36, 885
2 18, 18, 885
3 9, 9, 885
3 3, 3, 295
1, 1, 295

∴ So the LCM of the given numbers is 2 x 2 x 3 x 3 x 1 x 1 x 295 = 10620

Least Common Multiple of 36,36,885 with GCF Formula

Least Common Multiple of 36,36,885 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 36,36,885 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(36,36,885) = 3

common factors(in case of two or more numbers have common factors) = 36

GCF(36,36,885) x common factors =3 x 36 = 108

LCM(36,36,885) = ( 36 × 36 × 885 ) / 108

LCM(36,36,885) = 1146960 / 108

LCM(36,36,885) = 10620


Lets's calculate GCF of 209,767,702

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 10620/1

Therefore the LCM of Fractions 36/209,36/767,885/702 is 10620

Greatest Common Factor of 209,767,702 By Matching Biggest Common Factor Method

Greatest Common Factor of 209,767,702 By Matching Biggest Common Factor Method

Factors of 209

List of positive integer factors of 209 that divides 209 without a remainder.

1,11,19,209

Factors of 767

List of positive integer factors of 767 that divides 767 without a remainder.

1,13,59,767

Factors of 702

List of positive integer factors of 702 that divides 702 without a remainder.

1,2,3,6,9,13,18,26,27,39,54,78,117,234,351,702

Greatest Common Factor

We found the factors 209,767,702 . The biggest common factor number is the GCF number.
So the greatest common factor 209,767,702 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 36/209, 36/767, 885/702

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 36/209, 36/767, 885/702?

Answer: LCM of Numerators as per given numbers 36/209, 36/767, 885/702 is

LCM of Numerators i.e. for 36,36,885 is 10620

GCF of denominators i.e. for 209,767,702 is 1.

Thus, LCM of Fractions is 10620.Finally, LCM of Fractions for 36/209, 36/767, 885/702 is 10620.