Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 88/79, 12/58, 94/96, 60/719 quickly i.e. 62040 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 88/79, 12/58, 94/96, 60/719 is 62040.
LCM(88/79, 12/58, 94/96, 60/719) = 62040
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 88/79,12/58,94/96,60/719
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 88,12,94,60
Least Common Multiple of Numerators i.e. LCM of 88,12,94,60 is 62040.
GCF of Denominators means GCF of 79,58,96,719 as per the given fractions.
GCF of 79,58,96,719 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 88,12,94,60
2 | 88, 12, 94, 60 |
2 | 44, 6, 47, 30 |
3 | 22, 3, 47, 15 |
22, 1, 47, 5 |
∴ So the LCM of the given numbers is 2 x 2 x 3 x 22 x 1 x 47 x 5 = 62040
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 88,12,94,60 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(88,12,94,60) = 2
common factors(in case of two or more numbers have common factors) = 48
GCF(88,12,94,60) x common factors =2 x 48 = 96
LCM(88,12,94,60) = ( 88 × 12 × 94 × 60 ) / 96
LCM(88,12,94,60) = 5955840 / 96
LCM(88,12,94,60) = 62040
Lets's calculate GCF of 79,58,96,719
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 62040/1
Therefore the LCM of Fractions 88/79,12/58,94/96,60/719 is 62040
Factors of 79
List of positive integer factors of 79 that divides 79 without a remainder.
1,79
Factors of 58
List of positive integer factors of 58 that divides 58 without a remainder.
1,2,29,58
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 719
List of positive integer factors of 719 that divides 719 without a remainder.
1,719
Greatest Common Factor
We found the factors 79,58,96,719 . The biggest common factor number is the GCF number.
So the greatest common factor 79,58,96,719 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 88/79, 12/58, 94/96, 60/719?
Answer: LCM of Numerators as per given numbers 88/79, 12/58, 94/96, 60/719 is
LCM of Numerators i.e. for 88,12,94,60 is 62040
GCF of denominators i.e. for 79,58,96,719 is 1.
Thus, LCM of Fractions is 62040.Finally, LCM of Fractions for 88/79, 12/58, 94/96, 60/719 is 62040.