Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 784/660, 1266/942 quickly i.e. 82712 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 784/660, 1266/942 is 82712.
LCM(784/660, 1266/942) = 82712
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 784/660,1266/942
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 784,1266
Least Common Multiple of Numerators i.e. LCM of 784,1266 is 496272.
GCF of Denominators means GCF of 660,942 as per the given fractions.
GCF of 660,942 is 6 as it is the largest common factor for these numbers.
Lets's calculate LCM of 784,1266
2 | 784, 1266 |
392, 633 |
∴ So the LCM of the given numbers is 2 x 392 x 633 = 496272
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 784,1266 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(784,1266) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(784,1266) x common factors =2 x 1 = 2
LCM(784,1266) = ( 784 × 1266 ) / 2
LCM(784,1266) = 992544 / 2
LCM(784,1266) = 496272
Lets's calculate GCF of 660,942
2 | 660, 942 |
3 | 330, 471 |
110, 157 |
∴ So the GCF of the given numbers is 2 x 3 = 6
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 496272/6
Therefore the LCM of Fractions 784/660,1266/942 is 82712
Factors of 660
List of positive integer factors of 660 that divides 660 without a remainder.
1,2,3,4,5,6,10,11,12,15,20,22,30,33,44,55,60,66,110,132,165,220,330,660
Factors of 942
List of positive integer factors of 942 that divides 942 without a remainder.
1,2,3,6,157,314,471,942
Greatest Common Factor
We found the factors 660,942 . The biggest common factor number is the GCF number.
So the greatest common factor 660,942 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 784/660, 1266/942?
Answer: LCM of Numerators as per given numbers 784/660, 1266/942 is
LCM of Numerators i.e. for 784,1266 is 496272
GCF of denominators i.e. for 660,942 is 6.
Thus, LCM of Fractions is 82712.Finally, LCM of Fractions for 784/660, 1266/942 is 82712.