Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 996/11, 238/89, 602/386 quickly i.e. 5096532 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 996/11, 238/89, 602/386 is 5096532.
LCM(996/11, 238/89, 602/386) = 5096532
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 996/11,238/89,602/386
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 996,238,602
Least Common Multiple of Numerators i.e. LCM of 996,238,602 is 5096532.
GCF of Denominators means GCF of 11,89,386 as per the given fractions.
GCF of 11,89,386 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 996,238,602
2 | 996, 238, 602 |
7 | 498, 119, 301 |
498, 17, 43 |
∴ So the LCM of the given numbers is 2 x 7 x 498 x 17 x 43 = 5096532
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 996,238,602 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(996,238,602) = 2
common factors(in case of two or more numbers have common factors) = 14
GCF(996,238,602) x common factors =2 x 14 = 28
LCM(996,238,602) = ( 996 × 238 × 602 ) / 28
LCM(996,238,602) = 142702896 / 28
LCM(996,238,602) = 5096532
Lets's calculate GCF of 11,89,386
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5096532/1
Therefore the LCM of Fractions 996/11,238/89,602/386 is 5096532
Factors of 11
List of positive integer factors of 11 that divides 11 without a remainder.
1,11
Factors of 89
List of positive integer factors of 89 that divides 89 without a remainder.
1,89
Factors of 386
List of positive integer factors of 386 that divides 386 without a remainder.
1,2,193,386
Greatest Common Factor
We found the factors 11,89,386 . The biggest common factor number is the GCF number.
So the greatest common factor 11,89,386 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 996/11, 238/89, 602/386?
Answer: LCM of Numerators as per given numbers 996/11, 238/89, 602/386 is
LCM of Numerators i.e. for 996,238,602 is 5096532
GCF of denominators i.e. for 11,89,386 is 1.
Thus, LCM of Fractions is 5096532.Finally, LCM of Fractions for 996/11, 238/89, 602/386 is 5096532.