Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 443/37, 262/13, 396/645 quickly i.e. 22981068 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 443/37, 262/13, 396/645 is 22981068.
LCM(443/37, 262/13, 396/645) = 22981068
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 443/37,262/13,396/645
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 443,262,396
Least Common Multiple of Numerators i.e. LCM of 443,262,396 is 22981068.
GCF of Denominators means GCF of 37,13,645 as per the given fractions.
GCF of 37,13,645 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 443,262,396
2 | 443, 262, 396 |
443, 131, 198 |
∴ So the LCM of the given numbers is 2 x 443 x 131 x 198 = 22981068
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 443,262,396 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(443,262,396) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(443,262,396) x common factors =1 x 2 = 2
LCM(443,262,396) = ( 443 × 262 × 396 ) / 2
LCM(443,262,396) = 45962136 / 2
LCM(443,262,396) = 22981068
Lets's calculate GCF of 37,13,645
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 22981068/1
Therefore the LCM of Fractions 443/37,262/13,396/645 is 22981068
Factors of 37
List of positive integer factors of 37 that divides 37 without a remainder.
1,37
Factors of 13
List of positive integer factors of 13 that divides 13 without a remainder.
1,13
Factors of 645
List of positive integer factors of 645 that divides 645 without a remainder.
1,3,5,15,43,129,215,645
Greatest Common Factor
We found the factors 37,13,645 . The biggest common factor number is the GCF number.
So the greatest common factor 37,13,645 is 1.
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 443/37, 262/13, 396/645?
Answer: LCM of Numerators as per given numbers 443/37, 262/13, 396/645 is
LCM of Numerators i.e. for 443,262,396 is 22981068
GCF of denominators i.e. for 37,13,645 is 1.
Thus, LCM of Fractions is 22981068.Finally, LCM of Fractions for 443/37, 262/13, 396/645 is 22981068.