Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 774/96, 536/6246 quickly i.e. 34572 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 774/96, 536/6246 is 34572.
LCM(774/96, 536/6246) = 34572
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 774/96,536/6246
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 774,536
Least Common Multiple of Numerators i.e. LCM of 774,536 is 207432.
GCF of Denominators means GCF of 96,6246 as per the given fractions.
GCF of 96,6246 is 6 as it is the largest common factor for these numbers.
Lets's calculate LCM of 774,536
2 | 774, 536 |
387, 268 |
∴ So the LCM of the given numbers is 2 x 387 x 268 = 207432
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 774,536 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(774,536) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(774,536) x common factors =2 x 1 = 2
LCM(774,536) = ( 774 × 536 ) / 2
LCM(774,536) = 414864 / 2
LCM(774,536) = 207432
Lets's calculate GCF of 96,6246
2 | 96, 6246 |
3 | 48, 3123 |
16, 1041 |
∴ So the GCF of the given numbers is 2 x 3 = 6
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 207432/6
Therefore the LCM of Fractions 774/96,536/6246 is 34572
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 6246
List of positive integer factors of 6246 that divides 6246 without a remainder.
1,2,3,6,9,18,347,694,1041,2082,3123,6246
Greatest Common Factor
We found the factors 96,6246 . The biggest common factor number is the GCF number.
So the greatest common factor 96,6246 is 6.
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 774/96, 536/6246?
Answer: LCM of Numerators as per given numbers 774/96, 536/6246 is
LCM of Numerators i.e. for 774,536 is 207432
GCF of denominators i.e. for 96,6246 is 6.
Thus, LCM of Fractions is 34572.Finally, LCM of Fractions for 774/96, 536/6246 is 34572.