Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 72/23, 22/96, 61/617 quickly i.e. 48312 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 72/23, 22/96, 61/617 is 48312.
LCM(72/23, 22/96, 61/617) = 48312
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 72/23,22/96,61/617
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 72,22,61
Least Common Multiple of Numerators i.e. LCM of 72,22,61 is 48312.
GCF of Denominators means GCF of 23,96,617 as per the given fractions.
GCF of 23,96,617 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 72,22,61
2 | 72, 22, 61 |
36, 11, 61 |
∴ So the LCM of the given numbers is 2 x 36 x 11 x 61 = 48312
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 72,22,61 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(72,22,61) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(72,22,61) x common factors =1 x 2 = 2
LCM(72,22,61) = ( 72 × 22 × 61 ) / 2
LCM(72,22,61) = 96624 / 2
LCM(72,22,61) = 48312
Lets's calculate GCF of 23,96,617
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 48312/1
Therefore the LCM of Fractions 72/23,22/96,61/617 is 48312
Factors of 23
List of positive integer factors of 23 that divides 23 without a remainder.
1,23
Factors of 96
List of positive integer factors of 96 that divides 96 without a remainder.
1,2,3,4,6,8,12,16,24,32,48,96
Factors of 617
List of positive integer factors of 617 that divides 617 without a remainder.
1,617
Greatest Common Factor
We found the factors 23,96,617 . The biggest common factor number is the GCF number.
So the greatest common factor 23,96,617 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 72/23, 22/96, 61/617?
Answer: LCM of Numerators as per given numbers 72/23, 22/96, 61/617 is
LCM of Numerators i.e. for 72,22,61 is 48312
GCF of denominators i.e. for 23,96,617 is 1.
Thus, LCM of Fractions is 48312.Finally, LCM of Fractions for 72/23, 22/96, 61/617 is 48312.