Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 6/68, 9/18, 98/37, 69/693 quickly i.e. 20286 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 6/68, 9/18, 98/37, 69/693 is 20286.
LCM(6/68, 9/18, 98/37, 69/693) = 20286
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 6/68,9/18,98/37,69/693
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 6,9,98,69
Least Common Multiple of Numerators i.e. LCM of 6,9,98,69 is 20286.
GCF of Denominators means GCF of 68,18,37,693 as per the given fractions.
GCF of 68,18,37,693 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 6,9,98,69
2 | 6, 9, 98, 69 |
3 | 3, 9, 49, 69 |
1, 3, 49, 23 |
∴ So the LCM of the given numbers is 2 x 3 x 1 x 3 x 49 x 23 = 20286
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 6,9,98,69 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(6,9,98,69) = 1
common factors(in case of two or more numbers have common factors) = 18
GCF(6,9,98,69) x common factors =1 x 18 = 18
LCM(6,9,98,69) = ( 6 × 9 × 98 × 69 ) / 18
LCM(6,9,98,69) = 365148 / 18
LCM(6,9,98,69) = 20286
Lets's calculate GCF of 68,18,37,693
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 20286/1
Therefore the LCM of Fractions 6/68,9/18,98/37,69/693 is 20286
Factors of 68
List of positive integer factors of 68 that divides 68 without a remainder.
1,2,4,17,34,68
Factors of 18
List of positive integer factors of 18 that divides 18 without a remainder.
1,2,3,6,9,18
Factors of 37
List of positive integer factors of 37 that divides 37 without a remainder.
1,37
Factors of 693
List of positive integer factors of 693 that divides 693 without a remainder.
1,3,7,9,11,21,33,63,77,99,231,693
Greatest Common Factor
We found the factors 68,18,37,693 . The biggest common factor number is the GCF number.
So the greatest common factor 68,18,37,693 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 6/68, 9/18, 98/37, 69/693?
Answer: LCM of Numerators as per given numbers 6/68, 9/18, 98/37, 69/693 is
LCM of Numerators i.e. for 6,9,98,69 is 20286
GCF of denominators i.e. for 68,18,37,693 is 1.
Thus, LCM of Fractions is 20286.Finally, LCM of Fractions for 6/68, 9/18, 98/37, 69/693 is 20286.