Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 66/686, 14/102, 797/961 quickly i.e. 368214 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 66/686, 14/102, 797/961 is 368214.
LCM(66/686, 14/102, 797/961) = 368214
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 66/686,14/102,797/961
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 66,14,797
Least Common Multiple of Numerators i.e. LCM of 66,14,797 is 368214.
GCF of Denominators means GCF of 686,102,961 as per the given fractions.
GCF of 686,102,961 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 66,14,797
2 | 66, 14, 797 |
33, 7, 797 |
∴ So the LCM of the given numbers is 2 x 33 x 7 x 797 = 368214
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 66,14,797 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(66,14,797) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(66,14,797) x common factors =1 x 2 = 2
LCM(66,14,797) = ( 66 × 14 × 797 ) / 2
LCM(66,14,797) = 736428 / 2
LCM(66,14,797) = 368214
Lets's calculate GCF of 686,102,961
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 368214/1
Therefore the LCM of Fractions 66/686,14/102,797/961 is 368214
Factors of 686
List of positive integer factors of 686 that divides 686 without a remainder.
1,2,7,14,49,98,343,686
Factors of 102
List of positive integer factors of 102 that divides 102 without a remainder.
1,2,3,6,17,34,51,102
Factors of 961
List of positive integer factors of 961 that divides 961 without a remainder.
1,31,961
Greatest Common Factor
We found the factors 686,102,961 . The biggest common factor number is the GCF number.
So the greatest common factor 686,102,961 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 66/686, 14/102, 797/961?
Answer: LCM of Numerators as per given numbers 66/686, 14/102, 797/961 is
LCM of Numerators i.e. for 66,14,797 is 368214
GCF of denominators i.e. for 686,102,961 is 1.
Thus, LCM of Fractions is 368214.Finally, LCM of Fractions for 66/686, 14/102, 797/961 is 368214.