Least Common Multiple of 36/669, 20/954, 936/953

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 36/669, 20/954, 936/953 quickly i.e. 4680 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 36/669, 20/954, 936/953 is 4680.

LCM(36/669, 20/954, 936/953) = 4680

LCM of 36/669, 20/954, 936/953

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 36/669,20/954,936/953

Given numbers are 36/669,20/954,936/953

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 36,20,936

Least Common Multiple of Numerators i.e. LCM of 36,20,936 is 4680.

GCF of Denominators means GCF of 669,954,953 as per the given fractions.

GCF of 669,954,953 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 36,20,936

LCM of Fractions 36/669,20/954,936/953 is 4680

2 36, 20, 936
2 18, 10, 468
3 9, 5, 234
3 3, 5, 78
1, 5, 26

∴ So the LCM of the given numbers is 2 x 2 x 3 x 3 x 1 x 5 x 26 = 4680

Least Common Multiple of 36,20,936 with GCF Formula

Least Common Multiple of 36,20,936 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 36,20,936 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(36,20,936) = 4

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

GCF(36,20,936) x common factors =4 x 36 = 144

LCM(36,20,936) = ( 36 × 20 × 936 ) / 144

LCM(36,20,936) = 673920 / 144

LCM(36,20,936) = 4680


Lets's calculate GCF of 669,954,953

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4680/1

Therefore the LCM of Fractions 36/669,20/954,936/953 is 4680

Greatest Common Factor of 669,954,953 By Matching Biggest Common Factor Method

Greatest Common Factor of 669,954,953 By Matching Biggest Common Factor Method

Factors of 669

List of positive integer factors of 669 that divides 669 without a remainder.

1,3,223,669

Factors of 954

List of positive integer factors of 954 that divides 954 without a remainder.

1,2,3,6,9,18,53,106,159,318,477,954

Factors of 953

List of positive integer factors of 953 that divides 953 without a remainder.

1,953

Greatest Common Factor

We found the factors 669,954,953 . The biggest common factor number is the GCF number.
So the greatest common factor 669,954,953 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 36/669, 20/954, 936/953

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 36/669, 20/954, 936/953?

Answer: LCM of Numerators as per given numbers 36/669, 20/954, 936/953 is

LCM of Numerators i.e. for 36,20,936 is 4680

GCF of denominators i.e. for 669,954,953 is 1.

Thus, LCM of Fractions is 4680.Finally, LCM of Fractions for 36/669, 20/954, 936/953 is 4680.