Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 851/416, 1766/832 quickly i.e. 1502866/416 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 851/416, 1766/832 is 1502866/416.
LCM(851/416, 1766/832) = 1502866/416
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 851/416,1766/832
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 851,1766
Least Common Multiple of Numerators i.e. LCM of 851,1766 is 1502866.
GCF of Denominators means GCF of 416,832 as per the given fractions.
GCF of 416,832 is 416 as it is the largest common factor for these numbers.
Lets's calculate LCM of 851,1766
Given numbers has no common factors except 1. So, there LCM is their product i.e 1502866
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 851,1766 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(851,1766) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(851,1766) x common factors =1 x 1 = 1
LCM(851,1766) = ( 851 × 1766 ) / 1
LCM(851,1766) = 1502866 / 1
LCM(851,1766) = 1502866
Lets's calculate GCF of 416,832
2 | 416, 832 |
2 | 208, 416 |
2 | 104, 208 |
2 | 52, 104 |
2 | 26, 52 |
13 | 13, 26 |
1, 2 |
∴ So the GCF of the given numbers is 2 x 2 x 2 x 2 x 2 x 13 = 416
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1502866/416
Therefore the LCM of Fractions 851/416,1766/832 is 1502866/416
Factors of 416
List of positive integer factors of 416 that divides 416 without a remainder.
1,2,4,8,13,16,26,32,52,104,208,416
Factors of 832
List of positive integer factors of 832 that divides 832 without a remainder.
1,2,4,8,13,16,26,32,52,64,104,208,416,832
Greatest Common Factor
We found the factors 416,832 . The biggest common factor number is the GCF number.
So the greatest common factor 416,832 is 416.
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 851/416, 1766/832?
Answer: LCM of Numerators as per given numbers 851/416, 1766/832 is
LCM of Numerators i.e. for 851,1766 is 1502866
GCF of denominators i.e. for 416,832 is 416.
Thus, LCM of Fractions is 1502866/416.Finally, LCM of Fractions for 851/416, 1766/832 is 1502866/416.