Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 26/962, 68/386, 369/389 quickly i.e. 326196 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 26/962, 68/386, 369/389 is 326196.
LCM(26/962, 68/386, 369/389) = 326196
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 26/962,68/386,369/389
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 26,68,369
Least Common Multiple of Numerators i.e. LCM of 26,68,369 is 326196.
GCF of Denominators means GCF of 962,386,389 as per the given fractions.
GCF of 962,386,389 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 26,68,369
2 | 26, 68, 369 |
13, 34, 369 |
∴ So the LCM of the given numbers is 2 x 13 x 34 x 369 = 326196
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 26,68,369 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(26,68,369) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(26,68,369) x common factors =1 x 2 = 2
LCM(26,68,369) = ( 26 × 68 × 369 ) / 2
LCM(26,68,369) = 652392 / 2
LCM(26,68,369) = 326196
Lets's calculate GCF of 962,386,389
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 326196/1
Therefore the LCM of Fractions 26/962,68/386,369/389 is 326196
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 386
List of positive integer factors of 386 that divides 386 without a remainder.
1,2,193,386
Factors of 389
List of positive integer factors of 389 that divides 389 without a remainder.
1,389
Greatest Common Factor
We found the factors 962,386,389 . The biggest common factor number is the GCF number.
So the greatest common factor 962,386,389 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 26/962, 68/386, 369/389?
Answer: LCM of Numerators as per given numbers 26/962, 68/386, 369/389 is
LCM of Numerators i.e. for 26,68,369 is 326196
GCF of denominators i.e. for 962,386,389 is 1.
Thus, LCM of Fractions is 326196.Finally, LCM of Fractions for 26/962, 68/386, 369/389 is 326196.