Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 96/758, 73/485, 102/325 quickly i.e. 119136 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 96/758, 73/485, 102/325 is 119136.
LCM(96/758, 73/485, 102/325) = 119136
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 96/758,73/485,102/325
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 96,73,102
Least Common Multiple of Numerators i.e. LCM of 96,73,102 is 119136.
GCF of Denominators means GCF of 758,485,325 as per the given fractions.
GCF of 758,485,325 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 96,73,102
2 | 96, 73, 102 |
3 | 48, 73, 51 |
16, 73, 17 |
∴ So the LCM of the given numbers is 2 x 3 x 16 x 73 x 17 = 119136
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 96,73,102 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(96,73,102) = 1
common factors(in case of two or more numbers have common factors) = 6
GCF(96,73,102) x common factors =1 x 6 = 6
LCM(96,73,102) = ( 96 × 73 × 102 ) / 6
LCM(96,73,102) = 714816 / 6
LCM(96,73,102) = 119136
Lets's calculate GCF of 758,485,325
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 119136/1
Therefore the LCM of Fractions 96/758,73/485,102/325 is 119136
Factors of 758
List of positive integer factors of 758 that divides 758 without a remainder.
1,2,379,758
Factors of 485
List of positive integer factors of 485 that divides 485 without a remainder.
1,5,97,485
Factors of 325
List of positive integer factors of 325 that divides 325 without a remainder.
1,5,13,25,65,325
Greatest Common Factor
We found the factors 758,485,325 . The biggest common factor number is the GCF number.
So the greatest common factor 758,485,325 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 96/758, 73/485, 102/325?
Answer: LCM of Numerators as per given numbers 96/758, 73/485, 102/325 is
LCM of Numerators i.e. for 96,73,102 is 119136
GCF of denominators i.e. for 758,485,325 is 1.
Thus, LCM of Fractions is 119136.Finally, LCM of Fractions for 96/758, 73/485, 102/325 is 119136.