Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 68/965, 76/962, 766/215 quickly i.e. 494836 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 68/965, 76/962, 766/215 is 494836.
LCM(68/965, 76/962, 766/215) = 494836
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 68/965,76/962,766/215
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 68,76,766
Least Common Multiple of Numerators i.e. LCM of 68,76,766 is 494836.
GCF of Denominators means GCF of 965,962,215 as per the given fractions.
GCF of 965,962,215 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 68,76,766
2 | 68, 76, 766 |
2 | 34, 38, 383 |
17, 19, 383 |
∴ So the LCM of the given numbers is 2 x 2 x 17 x 19 x 383 = 494836
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 68,76,766 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(68,76,766) = 2
common factors(in case of two or more numbers have common factors) = 4
GCF(68,76,766) x common factors =2 x 4 = 8
LCM(68,76,766) = ( 68 × 76 × 766 ) / 8
LCM(68,76,766) = 3958688 / 8
LCM(68,76,766) = 494836
Lets's calculate GCF of 965,962,215
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 494836/1
Therefore the LCM of Fractions 68/965,76/962,766/215 is 494836
Factors of 965
List of positive integer factors of 965 that divides 965 without a remainder.
1,5,193,965
Factors of 962
List of positive integer factors of 962 that divides 962 without a remainder.
1,2,13,26,37,74,481,962
Factors of 215
List of positive integer factors of 215 that divides 215 without a remainder.
1,5,43,215
Greatest Common Factor
We found the factors 965,962,215 . The biggest common factor number is the GCF number.
So the greatest common factor 965,962,215 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 68/965, 76/962, 766/215?
Answer: LCM of Numerators as per given numbers 68/965, 76/962, 766/215 is
LCM of Numerators i.e. for 68,76,766 is 494836
GCF of denominators i.e. for 965,962,215 is 1.
Thus, LCM of Fractions is 494836.Finally, LCM of Fractions for 68/965, 76/962, 766/215 is 494836.