Least Common Multiple of 20/992, 912/192, 189/946

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 20/992, 912/192, 189/946 quickly i.e. 143640 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 20/992, 912/192, 189/946 is 143640.

LCM(20/992, 912/192, 189/946) = 143640

LCM of 20/992, 912/192, 189/946

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 20/992,912/192,189/946

Given numbers are 20/992,912/192,189/946

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 20,912,189

Least Common Multiple of Numerators i.e. LCM of 20,912,189 is 287280.

GCF of Denominators means GCF of 992,192,946 as per the given fractions.

GCF of 992,192,946 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 20,912,189

LCM of Fractions 20/992,912/192,189/946 is 143640

2 20, 912, 189
2 10, 456, 189
3 5, 228, 189
5, 76, 63

∴ So the LCM of the given numbers is 2 x 2 x 3 x 5 x 76 x 63 = 287280

Least Common Multiple of 20,912,189 with GCF Formula

Least Common Multiple of 20,912,189 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 20,912,189 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(20,912,189) = 1

common factors(in case of two or more numbers have common factors) = 12

GCF(20,912,189) x common factors =1 x 12 = 12

LCM(20,912,189) = ( 20 × 912 × 189 ) / 12

LCM(20,912,189) = 3447360 / 12

LCM(20,912,189) = 287280


Lets's calculate GCF of 992,192,946

2 992, 192, 946
496, 96, 473

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 287280/2

Therefore the LCM of Fractions 20/992,912/192,189/946 is 143640

Greatest Common Factor of 992,192,946 By Matching Biggest Common Factor Method

Greatest Common Factor of 992,192,946 By Matching Biggest Common Factor Method

Factors of 992

List of positive integer factors of 992 that divides 992 without a remainder.

1,2,4,8,16,31,32,62,124,248,496,992

Factors of 192

List of positive integer factors of 192 that divides 192 without a remainder.

1,2,3,4,6,8,12,16,24,32,48,64,96,192

Factors of 946

List of positive integer factors of 946 that divides 946 without a remainder.

1,2,11,22,43,86,473,946

Greatest Common Factor

We found the factors 992,192,946 . The biggest common factor number is the GCF number.
So the greatest common factor 992,192,946 is 2.


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 20/992, 912/192, 189/946

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 20/992, 912/192, 189/946?

Answer: LCM of Numerators as per given numbers 20/992, 912/192, 189/946 is

LCM of Numerators i.e. for 20,912,189 is 287280

GCF of denominators i.e. for 992,192,946 is 2.

Thus, LCM of Fractions is 143640.Finally, LCM of Fractions for 20/992, 912/192, 189/946 is 143640.