Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 372/28, 819/4452 quickly i.e. 3627 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 372/28, 819/4452 is 3627.
LCM(372/28, 819/4452) = 3627
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 372/28,819/4452
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 372,819
Least Common Multiple of Numerators i.e. LCM of 372,819 is 101556.
GCF of Denominators means GCF of 28,4452 as per the given fractions.
GCF of 28,4452 is 28 as it is the largest common factor for these numbers.
Lets's calculate LCM of 372,819
3 | 372, 819 |
124, 273 |
∴ So the LCM of the given numbers is 3 x 124 x 273 = 101556
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 372,819 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(372,819) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(372,819) x common factors =3 x 1 = 3
LCM(372,819) = ( 372 × 819 ) / 3
LCM(372,819) = 304668 / 3
LCM(372,819) = 101556
Lets's calculate GCF of 28,4452
2 | 28, 4452 |
2 | 14, 2226 |
7 | 7, 1113 |
1, 159 |
∴ So the GCF of the given numbers is 2 x 2 x 7 = 28
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 101556/28
Therefore the LCM of Fractions 372/28,819/4452 is 3627
Factors of 28
List of positive integer factors of 28 that divides 28 without a remainder.
1,2,4,7,14,28
Factors of 4452
List of positive integer factors of 4452 that divides 4452 without a remainder.
1,2,3,4,6,7,12,14,21,28,42,53,84,106,159,212,318,371,636,742,1113,1484,2226,4452
Greatest Common Factor
We found the factors 28,4452 . The biggest common factor number is the GCF number.
So the greatest common factor 28,4452 is 28.
Here are some samples of LCM of Fractions calculations.
Here are some samples of LCM of Fractions calculations.
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 372/28, 819/4452?
Answer: LCM of Numerators as per given numbers 372/28, 819/4452 is
LCM of Numerators i.e. for 372,819 is 101556
GCF of denominators i.e. for 28,4452 is 28.
Thus, LCM of Fractions is 3627.Finally, LCM of Fractions for 372/28, 819/4452 is 3627.