Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 96/594, 817/938, 450/106 quickly i.e. 2941200 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 96/594, 817/938, 450/106 is 2941200.
LCM(96/594, 817/938, 450/106) = 2941200
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 96/594,817/938,450/106
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 96,817,450
Least Common Multiple of Numerators i.e. LCM of 96,817,450 is 5882400.
GCF of Denominators means GCF of 594,938,106 as per the given fractions.
GCF of 594,938,106 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 96,817,450
2 | 96, 817, 450 |
3 | 48, 817, 225 |
16, 817, 75 |
∴ So the LCM of the given numbers is 2 x 3 x 16 x 817 x 75 = 5882400
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 96,817,450 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(96,817,450) = 1
common factors(in case of two or more numbers have common factors) = 6
GCF(96,817,450) x common factors =1 x 6 = 6
LCM(96,817,450) = ( 96 × 817 × 450 ) / 6
LCM(96,817,450) = 35294400 / 6
LCM(96,817,450) = 5882400
Lets's calculate GCF of 594,938,106
2 | 594, 938, 106 |
297, 469, 53 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5882400/2
Therefore the LCM of Fractions 96/594,817/938,450/106 is 2941200
Factors of 594
List of positive integer factors of 594 that divides 594 without a remainder.
1,2,3,6,9,11,18,22,27,33,54,66,99,198,297,594
Factors of 938
List of positive integer factors of 938 that divides 938 without a remainder.
1,2,7,14,67,134,469,938
Factors of 106
List of positive integer factors of 106 that divides 106 without a remainder.
1,2,53,106
Greatest Common Factor
We found the factors 594,938,106 . The biggest common factor number is the GCF number.
So the greatest common factor 594,938,106 is 2.
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 96/594, 817/938, 450/106?
Answer: LCM of Numerators as per given numbers 96/594, 817/938, 450/106 is
LCM of Numerators i.e. for 96,817,450 is 5882400
GCF of denominators i.e. for 594,938,106 is 2.
Thus, LCM of Fractions is 2941200.Finally, LCM of Fractions for 96/594, 817/938, 450/106 is 2941200.