Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 2063/630, 6624/7958 quickly i.e. 6832656 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 2063/630, 6624/7958 is 6832656.
LCM(2063/630, 6624/7958) = 6832656
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 2063/630,6624/7958
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 2063,6624
Least Common Multiple of Numerators i.e. LCM of 2063,6624 is 13665312.
GCF of Denominators means GCF of 630,7958 as per the given fractions.
GCF of 630,7958 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 2063,6624
Given numbers has no common factors except 1. So, there LCM is their product i.e 13665312
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 2063,6624 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(2063,6624) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(2063,6624) x common factors =1 x 1 = 1
LCM(2063,6624) = ( 2063 × 6624 ) / 1
LCM(2063,6624) = 13665312 / 1
LCM(2063,6624) = 13665312
Lets's calculate GCF of 630,7958
2 | 630, 7958 |
315, 3979 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 13665312/2
Therefore the LCM of Fractions 2063/630,6624/7958 is 6832656
Factors of 630
List of positive integer factors of 630 that divides 630 without a remainder.
1,2,3,5,6,7,9,10,14,15,18,21,30,35,42,45,63,70,90,105,126,210,315,630
Factors of 7958
List of positive integer factors of 7958 that divides 7958 without a remainder.
1,2,23,46,173,346,3979,7958
Greatest Common Factor
We found the factors 630,7958 . The biggest common factor number is the GCF number.
So the greatest common factor 630,7958 is 2.
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 2063/630, 6624/7958?
Answer: LCM of Numerators as per given numbers 2063/630, 6624/7958 is
LCM of Numerators i.e. for 2063,6624 is 13665312
GCF of denominators i.e. for 630,7958 is 2.
Thus, LCM of Fractions is 6832656.Finally, LCM of Fractions for 2063/630, 6624/7958 is 6832656.