Least Common Multiple of 80/20, 38/90, 912/924

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 80/20, 38/90, 912/924 quickly i.e. 2280 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 80/20, 38/90, 912/924 is 2280.

LCM(80/20, 38/90, 912/924) = 2280

LCM of 80/20, 38/90, 912/924

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 80/20,38/90,912/924

Given numbers are 80/20,38/90,912/924

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 80,38,912

Least Common Multiple of Numerators i.e. LCM of 80,38,912 is 4560.

GCF of Denominators means GCF of 20,90,924 as per the given fractions.

GCF of 20,90,924 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 80,38,912

LCM of Fractions 80/20,38/90,912/924 is 2280

2 80, 38, 912
2 40, 19, 456
2 20, 19, 228
2 10, 19, 114
19 5, 19, 57
5, 1, 3

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 19 x 5 x 1 x 3 = 4560

Least Common Multiple of 80,38,912 with GCF Formula

Least Common Multiple of 80,38,912 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 80,38,912 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(80,38,912) = 2

common factors(in case of two or more numbers have common factors) = 304

GCF(80,38,912) x common factors =2 x 304 = 608

LCM(80,38,912) = ( 80 × 38 × 912 ) / 608

LCM(80,38,912) = 2772480 / 608

LCM(80,38,912) = 4560


Lets's calculate GCF of 20,90,924

2 20, 90, 924
10, 45, 462

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4560/2

Therefore the LCM of Fractions 80/20,38/90,912/924 is 2280

Greatest Common Factor of 20,90,924 By Matching Biggest Common Factor Method

Greatest Common Factor of 20,90,924 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 90

List of positive integer factors of 90 that divides 90 without a remainder.

1,2,3,5,6,9,10,15,18,30,45,90

Factors of 924

List of positive integer factors of 924 that divides 924 without a remainder.

1,2,3,4,6,7,11,12,14,21,22,28,33,42,44,66,77,84,132,154,231,308,462,924

Greatest Common Factor

We found the factors 20,90,924 . The biggest common factor number is the GCF number.
So the greatest common factor 20,90,924 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 80/20, 38/90, 912/924

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 80/20, 38/90, 912/924?

Answer: LCM of Numerators as per given numbers 80/20, 38/90, 912/924 is

LCM of Numerators i.e. for 80,38,912 is 4560

GCF of denominators i.e. for 20,90,924 is 2.

Thus, LCM of Fractions is 2280.Finally, LCM of Fractions for 80/20, 38/90, 912/924 is 2280.