Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 7200/528, 6573/9088 quickly i.e. 985950 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 7200/528, 6573/9088 is 985950.
LCM(7200/528, 6573/9088) = 985950
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 7200/528,6573/9088
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 7200,6573
Least Common Multiple of Numerators i.e. LCM of 7200,6573 is 15775200.
GCF of Denominators means GCF of 528,9088 as per the given fractions.
GCF of 528,9088 is 16 as it is the largest common factor for these numbers.
Lets's calculate LCM of 7200,6573
3 | 7200, 6573 |
2400, 2191 |
∴ So the LCM of the given numbers is 3 x 2400 x 2191 = 15775200
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 7200,6573 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(7200,6573) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(7200,6573) x common factors =3 x 1 = 3
LCM(7200,6573) = ( 7200 × 6573 ) / 3
LCM(7200,6573) = 47325600 / 3
LCM(7200,6573) = 15775200
Lets's calculate GCF of 528,9088
2 | 528, 9088 |
2 | 264, 4544 |
2 | 132, 2272 |
2 | 66, 1136 |
33, 568 |
∴ So the GCF of the given numbers is 2 x 2 x 2 x 2 = 16
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 15775200/16
Therefore the LCM of Fractions 7200/528,6573/9088 is 985950
Factors of 528
List of positive integer factors of 528 that divides 528 without a remainder.
1,2,3,4,6,8,11,12,16,22,24,33,44,48,66,88,132,176,264,528
Factors of 9088
List of positive integer factors of 9088 that divides 9088 without a remainder.
1,2,4,8,16,32,64,71,128,142,284,568,1136,2272,4544,9088
Greatest Common Factor
We found the factors 528,9088 . The biggest common factor number is the GCF number.
So the greatest common factor 528,9088 is 16.
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 7200/528, 6573/9088?
Answer: LCM of Numerators as per given numbers 7200/528, 6573/9088 is
LCM of Numerators i.e. for 7200,6573 is 15775200
GCF of denominators i.e. for 528,9088 is 16.
Thus, LCM of Fractions is 985950.Finally, LCM of Fractions for 7200/528, 6573/9088 is 985950.