Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 48/63, 239/99, 647/167 quickly i.e. 7422384 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 48/63, 239/99, 647/167 is 7422384.
LCM(48/63, 239/99, 647/167) = 7422384
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 48/63,239/99,647/167
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 48,239,647
Least Common Multiple of Numerators i.e. LCM of 48,239,647 is 7422384.
GCF of Denominators means GCF of 63,99,167 as per the given fractions.
GCF of 63,99,167 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 48,239,647
Given numbers has no common factors except 1. So, there LCM is their product i.e 7422384
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 48,239,647 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(48,239,647) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(48,239,647) x common factors =1 x 1 = 1
LCM(48,239,647) = ( 48 × 239 × 647 ) / 1
LCM(48,239,647) = 7422384 / 1
LCM(48,239,647) = 7422384
Lets's calculate GCF of 63,99,167
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 7422384/1
Therefore the LCM of Fractions 48/63,239/99,647/167 is 7422384
Factors of 63
List of positive integer factors of 63 that divides 63 without a remainder.
1,3,7,9,21,63
Factors of 99
List of positive integer factors of 99 that divides 99 without a remainder.
1,3,9,11,33,99
Factors of 167
List of positive integer factors of 167 that divides 167 without a remainder.
1,167
Greatest Common Factor
We found the factors 63,99,167 . The biggest common factor number is the GCF number.
So the greatest common factor 63,99,167 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 48/63, 239/99, 647/167?
Answer: LCM of Numerators as per given numbers 48/63, 239/99, 647/167 is
LCM of Numerators i.e. for 48,239,647 is 7422384
GCF of denominators i.e. for 63,99,167 is 1.
Thus, LCM of Fractions is 7422384.Finally, LCM of Fractions for 48/63, 239/99, 647/167 is 7422384.