Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 8583/890, 7119/4487 quickly i.e. 20367459 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 8583/890, 7119/4487 is 20367459.
LCM(8583/890, 7119/4487) = 20367459
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 8583/890,7119/4487
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 8583,7119
Least Common Multiple of Numerators i.e. LCM of 8583,7119 is 20367459.
GCF of Denominators means GCF of 890,4487 as per the given fractions.
GCF of 890,4487 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 8583,7119
3 | 8583, 7119 |
2861, 2373 |
∴ So the LCM of the given numbers is 3 x 2861 x 2373 = 20367459
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 8583,7119 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(8583,7119) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(8583,7119) x common factors =3 x 1 = 3
LCM(8583,7119) = ( 8583 × 7119 ) / 3
LCM(8583,7119) = 61102377 / 3
LCM(8583,7119) = 20367459
Lets's calculate GCF of 890,4487
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 20367459/1
Therefore the LCM of Fractions 8583/890,7119/4487 is 20367459
Factors of 890
List of positive integer factors of 890 that divides 890 without a remainder.
1,2,5,10,89,178,445,890
Factors of 4487
List of positive integer factors of 4487 that divides 4487 without a remainder.
1,7,641,4487
Greatest Common Factor
We found the factors 890,4487 . The biggest common factor number is the GCF number.
So the greatest common factor 890,4487 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 8583/890, 7119/4487?
Answer: LCM of Numerators as per given numbers 8583/890, 7119/4487 is
LCM of Numerators i.e. for 8583,7119 is 20367459
GCF of denominators i.e. for 890,4487 is 1.
Thus, LCM of Fractions is 20367459.Finally, LCM of Fractions for 8583/890, 7119/4487 is 20367459.