Least Common Multiple of 816/53, 734/63, 772/328

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 816/53, 734/63, 772/328 quickly i.e. 57798096 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 816/53, 734/63, 772/328 is 57798096.

LCM(816/53, 734/63, 772/328) = 57798096

LCM of 816/53, 734/63, 772/328

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 816/53,734/63,772/328

Given numbers are 816/53,734/63,772/328

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 816,734,772

Least Common Multiple of Numerators i.e. LCM of 816,734,772 is 57798096.

GCF of Denominators means GCF of 53,63,328 as per the given fractions.

GCF of 53,63,328 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 816,734,772

LCM of Fractions 816/53,734/63,772/328 is 57798096

2 816, 734, 772
2 408, 367, 386
204, 367, 193

∴ So the LCM of the given numbers is 2 x 2 x 204 x 367 x 193 = 57798096

Least Common Multiple of 816,734,772 with GCF Formula

Least Common Multiple of 816,734,772 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 816,734,772 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(816,734,772) = 2

common factors(in case of two or more numbers have common factors) = 4

GCF(816,734,772) x common factors =2 x 4 = 8

LCM(816,734,772) = ( 816 × 734 × 772 ) / 8

LCM(816,734,772) = 462384768 / 8

LCM(816,734,772) = 57798096


Lets's calculate GCF of 53,63,328

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 57798096/1

Therefore the LCM of Fractions 816/53,734/63,772/328 is 57798096

Greatest Common Factor of 53,63,328 By Matching Biggest Common Factor Method

Greatest Common Factor of 53,63,328 By Matching Biggest Common Factor Method

Factors of 53

List of positive integer factors of 53 that divides 53 without a remainder.

1,53

Factors of 63

List of positive integer factors of 63 that divides 63 without a remainder.

1,3,7,9,21,63

Factors of 328

List of positive integer factors of 328 that divides 328 without a remainder.

1,2,4,8,41,82,164,328

Greatest Common Factor

We found the factors 53,63,328 . The biggest common factor number is the GCF number.
So the greatest common factor 53,63,328 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 816/53, 734/63, 772/328

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 816/53, 734/63, 772/328?

Answer: LCM of Numerators as per given numbers 816/53, 734/63, 772/328 is

LCM of Numerators i.e. for 816,734,772 is 57798096

GCF of denominators i.e. for 53,63,328 is 1.

Thus, LCM of Fractions is 57798096.Finally, LCM of Fractions for 816/53, 734/63, 772/328 is 57798096.