Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 6630/852, 7216/9244 quickly i.e. 5980260 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 6630/852, 7216/9244 is 5980260.
LCM(6630/852, 7216/9244) = 5980260
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 6630/852,7216/9244
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 6630,7216
Least Common Multiple of Numerators i.e. LCM of 6630,7216 is 23921040.
GCF of Denominators means GCF of 852,9244 as per the given fractions.
GCF of 852,9244 is 4 as it is the largest common factor for these numbers.
Lets's calculate LCM of 6630,7216
2 | 6630, 7216 |
3315, 3608 |
∴ So the LCM of the given numbers is 2 x 3315 x 3608 = 23921040
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 6630,7216 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(6630,7216) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(6630,7216) x common factors =2 x 1 = 2
LCM(6630,7216) = ( 6630 × 7216 ) / 2
LCM(6630,7216) = 47842080 / 2
LCM(6630,7216) = 23921040
Lets's calculate GCF of 852,9244
2 | 852, 9244 |
2 | 426, 4622 |
213, 2311 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 23921040/4
Therefore the LCM of Fractions 6630/852,7216/9244 is 5980260
Factors of 852
List of positive integer factors of 852 that divides 852 without a remainder.
1,2,3,4,6,12,71,142,213,284,426,852
Factors of 9244
List of positive integer factors of 9244 that divides 9244 without a remainder.
1,2,4,2311,4622,9244
Greatest Common Factor
We found the factors 852,9244 . The biggest common factor number is the GCF number.
So the greatest common factor 852,9244 is 4.
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 6630/852, 7216/9244?
Answer: LCM of Numerators as per given numbers 6630/852, 7216/9244 is
LCM of Numerators i.e. for 6630,7216 is 23921040
GCF of denominators i.e. for 852,9244 is 4.
Thus, LCM of Fractions is 5980260.Finally, LCM of Fractions for 6630/852, 7216/9244 is 5980260.