Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 96/48, 68/35, 359/697 quickly i.e. 585888 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 96/48, 68/35, 359/697 is 585888.
LCM(96/48, 68/35, 359/697) = 585888
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 96/48,68/35,359/697
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 96,68,359
Least Common Multiple of Numerators i.e. LCM of 96,68,359 is 585888.
GCF of Denominators means GCF of 48,35,697 as per the given fractions.
GCF of 48,35,697 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 96,68,359
2 | 96, 68, 359 |
2 | 48, 34, 359 |
24, 17, 359 |
∴ So the LCM of the given numbers is 2 x 2 x 24 x 17 x 359 = 585888
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 96,68,359 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(96,68,359) = 1
common factors(in case of two or more numbers have common factors) = 4
GCF(96,68,359) x common factors =1 x 4 = 4
LCM(96,68,359) = ( 96 × 68 × 359 ) / 4
LCM(96,68,359) = 2343552 / 4
LCM(96,68,359) = 585888
Lets's calculate GCF of 48,35,697
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 585888/1
Therefore the LCM of Fractions 96/48,68/35,359/697 is 585888
Factors of 48
List of positive integer factors of 48 that divides 48 without a remainder.
1,2,3,4,6,8,12,16,24,48
Factors of 35
List of positive integer factors of 35 that divides 35 without a remainder.
1,5,7,35
Factors of 697
List of positive integer factors of 697 that divides 697 without a remainder.
1,17,41,697
Greatest Common Factor
We found the factors 48,35,697 . The biggest common factor number is the GCF number.
So the greatest common factor 48,35,697 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 96/48, 68/35, 359/697?
Answer: LCM of Numerators as per given numbers 96/48, 68/35, 359/697 is
LCM of Numerators i.e. for 96,68,359 is 585888
GCF of denominators i.e. for 48,35,697 is 1.
Thus, LCM of Fractions is 585888.Finally, LCM of Fractions for 96/48, 68/35, 359/697 is 585888.