Least Common Multiple of 4401/774, 9720/522

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 4401/774, 9720/522 quickly i.e. 88020 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 4401/774, 9720/522 is 88020.

LCM(4401/774, 9720/522) = 88020

LCM of 4401/774, 9720/522

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 4401/774,9720/522

Given numbers are 4401/774,9720/522

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 4401,9720

Least Common Multiple of Numerators i.e. LCM of 4401,9720 is 1584360.

GCF of Denominators means GCF of 774,522 as per the given fractions.

GCF of 774,522 is 18 as it is the largest common factor for these numbers.

Lets's calculate LCM of 4401,9720

LCM of Fractions 4401/774,9720/522 is 88020

3 4401, 9720
3 1467, 3240
3 489, 1080
163, 360

∴ So the LCM of the given numbers is 3 x 3 x 3 x 163 x 360 = 1584360

Least Common Multiple of 4401,9720 with GCF Formula

Least Common Multiple of 4401,9720 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 4401,9720 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(4401,9720) = 27

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

GCF(4401,9720) x common factors =27 x 1 = 27

LCM(4401,9720) = ( 4401 × 9720 ) / 27

LCM(4401,9720) = 42777720 / 27

LCM(4401,9720) = 1584360


Lets's calculate GCF of 774,522

2 774, 522
3 387, 261
3 129, 87
43, 29

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1584360/18

Therefore the LCM of Fractions 4401/774,9720/522 is 88020

Greatest Common Factor of 774,522 By Matching Biggest Common Factor Method

Greatest Common Factor of 774,522 By Matching Biggest Common Factor Method

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

Factors of 522

List of positive integer factors of 522 that divides 522 without a remainder.

1,2,3,6,9,18,29,58,87,174,261,522

Greatest Common Factor

We found the factors 774,522 . The biggest common factor number is the GCF number.
So the greatest common factor 774,522 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 4401/774, 9720/522

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 4401/774, 9720/522?

Answer: LCM of Numerators as per given numbers 4401/774, 9720/522 is

LCM of Numerators i.e. for 4401,9720 is 1584360

GCF of denominators i.e. for 774,522 is 18.

Thus, LCM of Fractions is 88020.Finally, LCM of Fractions for 4401/774, 9720/522 is 88020.