Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 6752/198, 7500/5216 quickly i.e. 6330000 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 6752/198, 7500/5216 is 6330000.
LCM(6752/198, 7500/5216) = 6330000
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 6752/198,7500/5216
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 6752,7500
Least Common Multiple of Numerators i.e. LCM of 6752,7500 is 12660000.
GCF of Denominators means GCF of 198,5216 as per the given fractions.
GCF of 198,5216 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 6752,7500
2 | 6752, 7500 |
2 | 3376, 3750 |
1688, 1875 |
∴ So the LCM of the given numbers is 2 x 2 x 1688 x 1875 = 12660000
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 6752,7500 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(6752,7500) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(6752,7500) x common factors =4 x 1 = 4
LCM(6752,7500) = ( 6752 × 7500 ) / 4
LCM(6752,7500) = 50640000 / 4
LCM(6752,7500) = 12660000
Lets's calculate GCF of 198,5216
2 | 198, 5216 |
99, 2608 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 12660000/2
Therefore the LCM of Fractions 6752/198,7500/5216 is 6330000
Factors of 198
List of positive integer factors of 198 that divides 198 without a remainder.
1,2,3,6,9,11,18,22,33,66,99,198
Factors of 5216
List of positive integer factors of 5216 that divides 5216 without a remainder.
1,2,4,8,16,32,163,326,652,1304,2608,5216
Greatest Common Factor
We found the factors 198,5216 . The biggest common factor number is the GCF number.
So the greatest common factor 198,5216 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 6752/198, 7500/5216?
Answer: LCM of Numerators as per given numbers 6752/198, 7500/5216 is
LCM of Numerators i.e. for 6752,7500 is 12660000
GCF of denominators i.e. for 198,5216 is 2.
Thus, LCM of Fractions is 6330000.Finally, LCM of Fractions for 6752/198, 7500/5216 is 6330000.