Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 96/382, 39/902, 794/152 quickly i.e. 247728 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 96/382, 39/902, 794/152 is 247728.
LCM(96/382, 39/902, 794/152) = 247728
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 96/382,39/902,794/152
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 96,39,794
Least Common Multiple of Numerators i.e. LCM of 96,39,794 is 495456.
GCF of Denominators means GCF of 382,902,152 as per the given fractions.
GCF of 382,902,152 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 96,39,794
2 | 96, 39, 794 |
3 | 48, 39, 397 |
16, 13, 397 |
∴ So the LCM of the given numbers is 2 x 3 x 16 x 13 x 397 = 495456
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 96,39,794 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(96,39,794) = 1
common factors(in case of two or more numbers have common factors) = 6
GCF(96,39,794) x common factors =1 x 6 = 6
LCM(96,39,794) = ( 96 × 39 × 794 ) / 6
LCM(96,39,794) = 2972736 / 6
LCM(96,39,794) = 495456
Lets's calculate GCF of 382,902,152
2 | 382, 902, 152 |
191, 451, 76 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 495456/2
Therefore the LCM of Fractions 96/382,39/902,794/152 is 247728
Factors of 382
List of positive integer factors of 382 that divides 382 without a remainder.
1,2,191,382
Factors of 902
List of positive integer factors of 902 that divides 902 without a remainder.
1,2,11,22,41,82,451,902
Factors of 152
List of positive integer factors of 152 that divides 152 without a remainder.
1,2,4,8,19,38,76,152
Greatest Common Factor
We found the factors 382,902,152 . The biggest common factor number is the GCF number.
So the greatest common factor 382,902,152 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 96/382, 39/902, 794/152?
Answer: LCM of Numerators as per given numbers 96/382, 39/902, 794/152 is
LCM of Numerators i.e. for 96,39,794 is 495456
GCF of denominators i.e. for 382,902,152 is 2.
Thus, LCM of Fractions is 247728.Finally, LCM of Fractions for 96/382, 39/902, 794/152 is 247728.