Least Common Multiple of 969/20, 912/164

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 969/20, 912/164 quickly i.e. 3876 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 969/20, 912/164 is 3876.

LCM(969/20, 912/164) = 3876

LCM of 969/20, 912/164

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 969/20,912/164

Given numbers are 969/20,912/164

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 969,912

Least Common Multiple of Numerators i.e. LCM of 969,912 is 15504.

GCF of Denominators means GCF of 20,164 as per the given fractions.

GCF of 20,164 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 969,912

LCM of Fractions 969/20,912/164 is 3876

3 969, 912
19 323, 304
17, 16

∴ So the LCM of the given numbers is 3 x 19 x 17 x 16 = 15504

Least Common Multiple of 969,912 with GCF Formula

Least Common Multiple of 969,912 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 969,912 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(969,912) = 57

common factors(in case of two or more numbers have common factors) = 1

GCF(969,912) x common factors =57 x 1 = 57

LCM(969,912) = ( 969 × 912 ) / 57

LCM(969,912) = 883728 / 57

LCM(969,912) = 15504


Lets's calculate GCF of 20,164

2 20, 164
2 10, 82
5, 41

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 15504/4

Therefore the LCM of Fractions 969/20,912/164 is 3876

Greatest Common Factor of 20,164 By Matching Biggest Common Factor Method

Greatest Common Factor of 20,164 By Matching Biggest Common Factor Method

Factors of 20

List of positive integer factors of 20 that divides 20 without a remainder.

1,2,4,5,10,20

Factors of 164

List of positive integer factors of 164 that divides 164 without a remainder.

1,2,4,41,82,164

Greatest Common Factor

We found the factors 20,164 . The biggest common factor number is the GCF number.
So the greatest common factor 20,164 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 969/20, 912/164

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 969/20, 912/164?

Answer: LCM of Numerators as per given numbers 969/20, 912/164 is

LCM of Numerators i.e. for 969,912 is 15504

GCF of denominators i.e. for 20,164 is 4.

Thus, LCM of Fractions is 3876.Finally, LCM of Fractions for 969/20, 912/164 is 3876.