Least Common Multiple of 54/80, 824/58, 463/320

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 54/80, 824/58, 463/320 quickly i.e. 5150412 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 54/80, 824/58, 463/320 is 5150412.

LCM(54/80, 824/58, 463/320) = 5150412

LCM of 54/80, 824/58, 463/320

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 54/80,824/58,463/320

Given numbers are 54/80,824/58,463/320

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 54,824,463

Least Common Multiple of Numerators i.e. LCM of 54,824,463 is 10300824.

GCF of Denominators means GCF of 80,58,320 as per the given fractions.

GCF of 80,58,320 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 54,824,463

LCM of Fractions 54/80,824/58,463/320 is 5150412

2 54, 824, 463
27, 412, 463

∴ So the LCM of the given numbers is 2 x 27 x 412 x 463 = 10300824

Least Common Multiple of 54,824,463 with GCF Formula

Least Common Multiple of 54,824,463 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 54,824,463 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(54,824,463) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(54,824,463) x common factors =1 x 2 = 2

LCM(54,824,463) = ( 54 × 824 × 463 ) / 2

LCM(54,824,463) = 20601648 / 2

LCM(54,824,463) = 10300824


Lets's calculate GCF of 80,58,320

2 80, 58, 320
40, 29, 160

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 10300824/2

Therefore the LCM of Fractions 54/80,824/58,463/320 is 5150412

Greatest Common Factor of 80,58,320 By Matching Biggest Common Factor Method

Greatest Common Factor of 80,58,320 By Matching Biggest Common Factor Method

Factors of 80

List of positive integer factors of 80 that divides 80 without a remainder.

1,2,4,5,8,10,16,20,40,80

Factors of 58

List of positive integer factors of 58 that divides 58 without a remainder.

1,2,29,58

Factors of 320

List of positive integer factors of 320 that divides 320 without a remainder.

1,2,4,5,8,10,16,20,32,40,64,80,160,320

Greatest Common Factor

We found the factors 80,58,320 . The biggest common factor number is the GCF number.
So the greatest common factor 80,58,320 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 54/80, 824/58, 463/320

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 54/80, 824/58, 463/320?

Answer: LCM of Numerators as per given numbers 54/80, 824/58, 463/320 is

LCM of Numerators i.e. for 54,824,463 is 10300824

GCF of denominators i.e. for 80,58,320 is 2.

Thus, LCM of Fractions is 5150412.Finally, LCM of Fractions for 54/80, 824/58, 463/320 is 5150412.