Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 94/96, 69/41, 80/63, 96/634 quickly i.e. 518880 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 94/96, 69/41, 80/63, 96/634 is 518880.
LCM(94/96, 69/41, 80/63, 96/634) = 518880
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 94/96,69/41,80/63,96/634
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 94,69,80,96
Least Common Multiple of Numerators i.e. LCM of 94,69,80,96 is 518880.
GCF of Denominators means GCF of 96,41,63,634 as per the given fractions.
GCF of 96,41,63,634 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 94,69,80,96
2 | 94, 69, 80, 96 |
2 | 47, 69, 40, 48 |
2 | 47, 69, 20, 24 |
2 | 47, 69, 10, 12 |
3 | 47, 69, 5, 6 |
47, 23, 5, 2 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 3 x 47 x 23 x 5 x 2 = 518880
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 94,69,80,96 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(94,69,80,96) = 1
common factors(in case of two or more numbers have common factors) = 96
GCF(94,69,80,96) x common factors =1 x 96 = 96
LCM(94,69,80,96) = ( 94 × 69 × 80 × 96 ) / 96
LCM(94,69,80,96) = 49812480 / 96
LCM(94,69,80,96) = 518880
Lets's calculate GCF of 96,41,63,634
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 518880/1
Therefore the LCM of Fractions 94/96,69/41,80/63,96/634 is 518880
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 41
List of positive integer factors of 41 that divides 41 without a remainder.
1,41
Factors of 63
List of positive integer factors of 63 that divides 63 without a remainder.
1,3,7,9,21,63
Factors of 634
List of positive integer factors of 634 that divides 634 without a remainder.
1,2,317,634
Greatest Common Factor
We found the factors 96,41,63,634 . The biggest common factor number is the GCF number.
So the greatest common factor 96,41,63,634 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 94/96, 69/41, 80/63, 96/634?
Answer: LCM of Numerators as per given numbers 94/96, 69/41, 80/63, 96/634 is
LCM of Numerators i.e. for 94,69,80,96 is 518880
GCF of denominators i.e. for 96,41,63,634 is 1.
Thus, LCM of Fractions is 518880.Finally, LCM of Fractions for 94/96, 69/41, 80/63, 96/634 is 518880.