Least Common Multiple of 743/360, 900/352, 272/623

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 743/360, 900/352, 272/623 quickly i.e. 45471600 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 743/360, 900/352, 272/623 is 45471600.

LCM(743/360, 900/352, 272/623) = 45471600

LCM of 743/360, 900/352, 272/623

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 743/360,900/352,272/623

Given numbers are 743/360,900/352,272/623

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 743,900,272

Least Common Multiple of Numerators i.e. LCM of 743,900,272 is 45471600.

GCF of Denominators means GCF of 360,352,623 as per the given fractions.

GCF of 360,352,623 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 743,900,272

LCM of Fractions 743/360,900/352,272/623 is 45471600

2 743, 900, 272
2 743, 450, 136
743, 225, 68

∴ So the LCM of the given numbers is 2 x 2 x 743 x 225 x 68 = 45471600

Least Common Multiple of 743,900,272 with GCF Formula

Least Common Multiple of 743,900,272 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 743,900,272 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(743,900,272) = 1

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

GCF(743,900,272) x common factors =1 x 4 = 4

LCM(743,900,272) = ( 743 × 900 × 272 ) / 4

LCM(743,900,272) = 181886400 / 4

LCM(743,900,272) = 45471600


Lets's calculate GCF of 360,352,623

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 45471600/1

Therefore the LCM of Fractions 743/360,900/352,272/623 is 45471600

Greatest Common Factor of 360,352,623 By Matching Biggest Common Factor Method

Greatest Common Factor of 360,352,623 By Matching Biggest Common Factor Method

Factors of 360

List of positive integer factors of 360 that divides 360 without a remainder.

1,2,3,4,5,6,8,9,10,12,15,18,20,24,30,36,40,45,60,72,90,120,180,360

Factors of 352

List of positive integer factors of 352 that divides 352 without a remainder.

1,2,4,8,11,16,22,32,44,88,176,352

Factors of 623

List of positive integer factors of 623 that divides 623 without a remainder.

1,7,89,623

Greatest Common Factor

We found the factors 360,352,623 . The biggest common factor number is the GCF number.
So the greatest common factor 360,352,623 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 743/360, 900/352, 272/623

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 743/360, 900/352, 272/623?

Answer: LCM of Numerators as per given numbers 743/360, 900/352, 272/623 is

LCM of Numerators i.e. for 743,900,272 is 45471600

GCF of denominators i.e. for 360,352,623 is 1.

Thus, LCM of Fractions is 45471600.Finally, LCM of Fractions for 743/360, 900/352, 272/623 is 45471600.