Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 218/66, 698/5993 quickly i.e. 76082 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 218/66, 698/5993 is 76082.
LCM(218/66, 698/5993) = 76082
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 218/66,698/5993
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 218,698
Least Common Multiple of Numerators i.e. LCM of 218,698 is 76082.
GCF of Denominators means GCF of 66,5993 as per the given fractions.
GCF of 66,5993 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 218,698
2 | 218, 698 |
109, 349 |
∴ So the LCM of the given numbers is 2 x 109 x 349 = 76082
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 218,698 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(218,698) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(218,698) x common factors =2 x 1 = 2
LCM(218,698) = ( 218 × 698 ) / 2
LCM(218,698) = 152164 / 2
LCM(218,698) = 76082
Lets's calculate GCF of 66,5993
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 76082/1
Therefore the LCM of Fractions 218/66,698/5993 is 76082
Factors of 66
List of positive integer factors of 66 that divides 66 without a remainder.
1,2,3,6,11,22,33,66
Factors of 5993
List of positive integer factors of 5993 that divides 5993 without a remainder.
1,13,461,5993
Greatest Common Factor
We found the factors 66,5993 . The biggest common factor number is the GCF number.
So the greatest common factor 66,5993 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 218/66, 698/5993?
Answer: LCM of Numerators as per given numbers 218/66, 698/5993 is
LCM of Numerators i.e. for 218,698 is 76082
GCF of denominators i.e. for 66,5993 is 1.
Thus, LCM of Fractions is 76082.Finally, LCM of Fractions for 218/66, 698/5993 is 76082.