Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 72/85, 219/63, 112/466 quickly i.e. 73584 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 72/85, 219/63, 112/466 is 73584.
LCM(72/85, 219/63, 112/466) = 73584
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 72/85,219/63,112/466
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 72,219,112
Least Common Multiple of Numerators i.e. LCM of 72,219,112 is 73584.
GCF of Denominators means GCF of 85,63,466 as per the given fractions.
GCF of 85,63,466 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 72,219,112
2 | 72, 219, 112 |
2 | 36, 219, 56 |
2 | 18, 219, 28 |
3 | 9, 219, 14 |
3, 73, 14 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 3 x 73 x 14 = 73584
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 72,219,112 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(72,219,112) = 1
common factors(in case of two or more numbers have common factors) = 24
GCF(72,219,112) x common factors =1 x 24 = 24
LCM(72,219,112) = ( 72 × 219 × 112 ) / 24
LCM(72,219,112) = 1766016 / 24
LCM(72,219,112) = 73584
Lets's calculate GCF of 85,63,466
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 73584/1
Therefore the LCM of Fractions 72/85,219/63,112/466 is 73584
Factors of 85
List of positive integer factors of 85 that divides 85 without a remainder.
1,5,17,85
Factors of 63
List of positive integer factors of 63 that divides 63 without a remainder.
1,3,7,9,21,63
Factors of 466
List of positive integer factors of 466 that divides 466 without a remainder.
1,2,233,466
Greatest Common Factor
We found the factors 85,63,466 . The biggest common factor number is the GCF number.
So the greatest common factor 85,63,466 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 72/85, 219/63, 112/466?
Answer: LCM of Numerators as per given numbers 72/85, 219/63, 112/466 is
LCM of Numerators i.e. for 72,219,112 is 73584
GCF of denominators i.e. for 85,63,466 is 1.
Thus, LCM of Fractions is 73584.Finally, LCM of Fractions for 72/85, 219/63, 112/466 is 73584.