Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 2192/568, 7280/803 quickly i.e. 997360 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 2192/568, 7280/803 is 997360.
LCM(2192/568, 7280/803) = 997360
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 2192/568,7280/803
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 2192,7280
Least Common Multiple of Numerators i.e. LCM of 2192,7280 is 997360.
GCF of Denominators means GCF of 568,803 as per the given fractions.
GCF of 568,803 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 2192,7280
2 | 2192, 7280 |
2 | 1096, 3640 |
2 | 548, 1820 |
2 | 274, 910 |
137, 455 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 137 x 455 = 997360
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 2192,7280 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(2192,7280) = 16
common factors(in case of two or more numbers have common factors) = 1
GCF(2192,7280) x common factors =16 x 1 = 16
LCM(2192,7280) = ( 2192 × 7280 ) / 16
LCM(2192,7280) = 15957760 / 16
LCM(2192,7280) = 997360
Lets's calculate GCF of 568,803
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 997360/1
Therefore the LCM of Fractions 2192/568,7280/803 is 997360
Factors of 568
List of positive integer factors of 568 that divides 568 without a remainder.
1,2,4,8,71,142,284,568
Factors of 803
List of positive integer factors of 803 that divides 803 without a remainder.
1,11,73,803
Greatest Common Factor
We found the factors 568,803 . The biggest common factor number is the GCF number.
So the greatest common factor 568,803 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 2192/568, 7280/803?
Answer: LCM of Numerators as per given numbers 2192/568, 7280/803 is
LCM of Numerators i.e. for 2192,7280 is 997360
GCF of denominators i.e. for 568,803 is 1.
Thus, LCM of Fractions is 997360.Finally, LCM of Fractions for 2192/568, 7280/803 is 997360.