Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 416/647, 6762/7966 quickly i.e. 1406496 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 416/647, 6762/7966 is 1406496.
LCM(416/647, 6762/7966) = 1406496
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 416/647,6762/7966
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 416,6762
Least Common Multiple of Numerators i.e. LCM of 416,6762 is 1406496.
GCF of Denominators means GCF of 647,7966 as per the given fractions.
GCF of 647,7966 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 416,6762
2 | 416, 6762 |
208, 3381 |
∴ So the LCM of the given numbers is 2 x 208 x 3381 = 1406496
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 416,6762 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(416,6762) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(416,6762) x common factors =2 x 1 = 2
LCM(416,6762) = ( 416 × 6762 ) / 2
LCM(416,6762) = 2812992 / 2
LCM(416,6762) = 1406496
Lets's calculate GCF of 647,7966
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1406496/1
Therefore the LCM of Fractions 416/647,6762/7966 is 1406496
Factors of 647
List of positive integer factors of 647 that divides 647 without a remainder.
1,647
Factors of 7966
List of positive integer factors of 7966 that divides 7966 without a remainder.
1,2,7,14,569,1138,3983,7966
Greatest Common Factor
We found the factors 647,7966 . The biggest common factor number is the GCF number.
So the greatest common factor 647,7966 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 416/647, 6762/7966?
Answer: LCM of Numerators as per given numbers 416/647, 6762/7966 is
LCM of Numerators i.e. for 416,6762 is 1406496
GCF of denominators i.e. for 647,7966 is 1.
Thus, LCM of Fractions is 1406496.Finally, LCM of Fractions for 416/647, 6762/7966 is 1406496.