Least Common Multiple of 57/648, 71/792, 328/774

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 57/648, 71/792, 328/774 quickly i.e. 1327416/18 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 57/648, 71/792, 328/774 is 1327416/18.

LCM(57/648, 71/792, 328/774) = 1327416/18

LCM of 57/648, 71/792, 328/774

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 57/648,71/792,328/774

Given numbers are 57/648,71/792,328/774

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 57,71,328

Least Common Multiple of Numerators i.e. LCM of 57,71,328 is 1327416.

GCF of Denominators means GCF of 648,792,774 as per the given fractions.

GCF of 648,792,774 is 18 as it is the largest common factor for these numbers.

Lets's calculate LCM of 57,71,328

LCM of Fractions 57/648,71/792,328/774 is 1327416/18

Given numbers has no common factors except 1. So, there LCM is their product i.e 1327416

Least Common Multiple of 57,71,328 with GCF Formula

Least Common Multiple of 57,71,328 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 57,71,328 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(57,71,328) = 1

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

GCF(57,71,328) x common factors =1 x 1 = 1

LCM(57,71,328) = ( 57 × 71 × 328 ) / 1

LCM(57,71,328) = 1327416 / 1

LCM(57,71,328) = 1327416


Lets's calculate GCF of 648,792,774

2 648, 792, 774
3 324, 396, 387
3 108, 132, 129
36, 44, 43

∴ So the GCF of the given numbers is 2 x 3 x 3 = 18

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1327416/18

Therefore the LCM of Fractions 57/648,71/792,328/774 is 1327416/18

Greatest Common Factor of 648,792,774 By Matching Biggest Common Factor Method

Greatest Common Factor of 648,792,774 By Matching Biggest Common Factor Method

Factors of 648

List of positive integer factors of 648 that divides 648 without a remainder.

1,2,3,4,6,8,9,12,18,24,27,36,54,72,81,108,162,216,324,648

Factors of 792

List of positive integer factors of 792 that divides 792 without a remainder.

1,2,3,4,6,8,9,11,12,18,22,24,33,36,44,66,72,88,99,132,198,264,396,792

Factors of 774

List of positive integer factors of 774 that divides 774 without a remainder.

1,2,3,6,9,18,43,86,129,258,387,774

Greatest Common Factor

We found the factors 648,792,774 . The biggest common factor number is the GCF number.
So the greatest common factor 648,792,774 is 18.


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 57/648, 71/792, 328/774

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 57/648, 71/792, 328/774?

Answer: LCM of Numerators as per given numbers 57/648, 71/792, 328/774 is

LCM of Numerators i.e. for 57,71,328 is 1327416

GCF of denominators i.e. for 648,792,774 is 18.

Thus, LCM of Fractions is 1327416/18.Finally, LCM of Fractions for 57/648, 71/792, 328/774 is 1327416/18.