Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 21/63, 164/52, 397/994 quickly i.e. 1367268 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 21/63, 164/52, 397/994 is 1367268.
LCM(21/63, 164/52, 397/994) = 1367268
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 21/63,164/52,397/994
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 21,164,397
Least Common Multiple of Numerators i.e. LCM of 21,164,397 is 1367268.
GCF of Denominators means GCF of 63,52,994 as per the given fractions.
GCF of 63,52,994 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 21,164,397
Given numbers has no common factors except 1. So, there LCM is their product i.e 1367268
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 21,164,397 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(21,164,397) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(21,164,397) x common factors =1 x 1 = 1
LCM(21,164,397) = ( 21 × 164 × 397 ) / 1
LCM(21,164,397) = 1367268 / 1
LCM(21,164,397) = 1367268
Lets's calculate GCF of 63,52,994
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1367268/1
Therefore the LCM of Fractions 21/63,164/52,397/994 is 1367268
Factors of 63
List of positive integer factors of 63 that divides 63 without a remainder.
1,3,7,9,21,63
Factors of 52
List of positive integer factors of 52 that divides 52 without a remainder.
1,2,4,13,26,52
Factors of 994
List of positive integer factors of 994 that divides 994 without a remainder.
1,2,7,14,71,142,497,994
Greatest Common Factor
We found the factors 63,52,994 . The biggest common factor number is the GCF number.
So the greatest common factor 63,52,994 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 21/63, 164/52, 397/994?
Answer: LCM of Numerators as per given numbers 21/63, 164/52, 397/994 is
LCM of Numerators i.e. for 21,164,397 is 1367268
GCF of denominators i.e. for 63,52,994 is 1.
Thus, LCM of Fractions is 1367268.Finally, LCM of Fractions for 21/63, 164/52, 397/994 is 1367268.