Least Common Multiple of 35/18, 36/495, 447/909

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 35/18, 36/495, 447/909 quickly i.e. 20860 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 35/18, 36/495, 447/909 is 20860.

LCM(35/18, 36/495, 447/909) = 20860

LCM of 35/18, 36/495, 447/909

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 35/18,36/495,447/909

Given numbers are 35/18,36/495,447/909

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 35,36,447

Least Common Multiple of Numerators i.e. LCM of 35,36,447 is 187740.

GCF of Denominators means GCF of 18,495,909 as per the given fractions.

GCF of 18,495,909 is 9 as it is the largest common factor for these numbers.

Lets's calculate LCM of 35,36,447

LCM of Fractions 35/18,36/495,447/909 is 20860

3 35, 36, 447
35, 12, 149

∴ So the LCM of the given numbers is 3 x 35 x 12 x 149 = 187740

Least Common Multiple of 35,36,447 with GCF Formula

Least Common Multiple of 35,36,447 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 35,36,447 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(35,36,447) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(35,36,447) x common factors =1 x 3 = 3

LCM(35,36,447) = ( 35 × 36 × 447 ) / 3

LCM(35,36,447) = 563220 / 3

LCM(35,36,447) = 187740


Lets's calculate GCF of 18,495,909

3 18, 495, 909
3 6, 165, 303
2, 55, 101

∴ So the GCF of the given numbers is 3 x 3 = 9

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 187740/9

Therefore the LCM of Fractions 35/18,36/495,447/909 is 20860

Greatest Common Factor of 18,495,909 By Matching Biggest Common Factor Method

Greatest Common Factor of 18,495,909 By Matching Biggest Common Factor Method

Factors of 18

List of positive integer factors of 18 that divides 18 without a remainder.

1,2,3,6,9,18

Factors of 495

List of positive integer factors of 495 that divides 495 without a remainder.

1,3,5,9,11,15,33,45,55,99,165,495

Factors of 909

List of positive integer factors of 909 that divides 909 without a remainder.

1,3,9,101,303,909

Greatest Common Factor

We found the factors 18,495,909 . The biggest common factor number is the GCF number.
So the greatest common factor 18,495,909 is 9.


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 35/18, 36/495, 447/909

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 35/18, 36/495, 447/909?

Answer: LCM of Numerators as per given numbers 35/18, 36/495, 447/909 is

LCM of Numerators i.e. for 35,36,447 is 187740

GCF of denominators i.e. for 18,495,909 is 9.

Thus, LCM of Fractions is 20860.Finally, LCM of Fractions for 35/18, 36/495, 447/909 is 20860.