Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 6282/766, 1199/2336 quickly i.e. 3766059 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 6282/766, 1199/2336 is 3766059.
LCM(6282/766, 1199/2336) = 3766059
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 6282/766,1199/2336
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 6282,1199
Least Common Multiple of Numerators i.e. LCM of 6282,1199 is 7532118.
GCF of Denominators means GCF of 766,2336 as per the given fractions.
GCF of 766,2336 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 6282,1199
Given numbers has no common factors except 1. So, there LCM is their product i.e 7532118
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 6282,1199 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(6282,1199) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(6282,1199) x common factors =1 x 1 = 1
LCM(6282,1199) = ( 6282 × 1199 ) / 1
LCM(6282,1199) = 7532118 / 1
LCM(6282,1199) = 7532118
Lets's calculate GCF of 766,2336
2 | 766, 2336 |
383, 1168 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 7532118/2
Therefore the LCM of Fractions 6282/766,1199/2336 is 3766059
Factors of 766
List of positive integer factors of 766 that divides 766 without a remainder.
1,2,383,766
Factors of 2336
List of positive integer factors of 2336 that divides 2336 without a remainder.
1,2,4,8,16,32,73,146,292,584,1168,2336
Greatest Common Factor
We found the factors 766,2336 . The biggest common factor number is the GCF number.
So the greatest common factor 766,2336 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 6282/766, 1199/2336?
Answer: LCM of Numerators as per given numbers 6282/766, 1199/2336 is
LCM of Numerators i.e. for 6282,1199 is 7532118
GCF of denominators i.e. for 766,2336 is 2.
Thus, LCM of Fractions is 3766059.Finally, LCM of Fractions for 6282/766, 1199/2336 is 3766059.