Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 96/617, 61/153, 144/153 quickly i.e. 17568 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 96/617, 61/153, 144/153 is 17568.
LCM(96/617, 61/153, 144/153) = 17568
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 96/617,61/153,144/153
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 96,61,144
Least Common Multiple of Numerators i.e. LCM of 96,61,144 is 17568.
GCF of Denominators means GCF of 617,153,153 as per the given fractions.
GCF of 617,153,153 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 96,61,144
2 | 96, 61, 144 |
2 | 48, 61, 72 |
2 | 24, 61, 36 |
2 | 12, 61, 18 |
3 | 6, 61, 9 |
2, 61, 3 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 3 x 2 x 61 x 3 = 17568
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 96,61,144 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(96,61,144) = 1
common factors(in case of two or more numbers have common factors) = 48
GCF(96,61,144) x common factors =1 x 48 = 48
LCM(96,61,144) = ( 96 × 61 × 144 ) / 48
LCM(96,61,144) = 843264 / 48
LCM(96,61,144) = 17568
Lets's calculate GCF of 617,153,153
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 17568/1
Therefore the LCM of Fractions 96/617,61/153,144/153 is 17568
Factors of 617
List of positive integer factors of 617 that divides 617 without a remainder.
1,617
Factors of 153
List of positive integer factors of 153 that divides 153 without a remainder.
1,3,9,17,51,153
Factors of 153
List of positive integer factors of 153 that divides 153 without a remainder.
1,3,9,17,51,153
Greatest Common Factor
We found the factors 617,153,153 . The biggest common factor number is the GCF number.
So the greatest common factor 617,153,153 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 96/617, 61/153, 144/153?
Answer: LCM of Numerators as per given numbers 96/617, 61/153, 144/153 is
LCM of Numerators i.e. for 96,61,144 is 17568
GCF of denominators i.e. for 617,153,153 is 1.
Thus, LCM of Fractions is 17568.Finally, LCM of Fractions for 96/617, 61/153, 144/153 is 17568.