Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 280/50, 899/5110 quickly i.e. 25172 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 280/50, 899/5110 is 25172.
LCM(280/50, 899/5110) = 25172
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 280/50,899/5110
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 280,899
Least Common Multiple of Numerators i.e. LCM of 280,899 is 251720.
GCF of Denominators means GCF of 50,5110 as per the given fractions.
GCF of 50,5110 is 10 as it is the largest common factor for these numbers.
Lets's calculate LCM of 280,899
Given numbers has no common factors except 1. So, there LCM is their product i.e 251720
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 280,899 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(280,899) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(280,899) x common factors =1 x 1 = 1
LCM(280,899) = ( 280 × 899 ) / 1
LCM(280,899) = 251720 / 1
LCM(280,899) = 251720
Lets's calculate GCF of 50,5110
2 | 50, 5110 |
5 | 25, 2555 |
5, 511 |
∴ So the GCF of the given numbers is 2 x 5 = 10
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 251720/10
Therefore the LCM of Fractions 280/50,899/5110 is 25172
Factors of 50
List of positive integer factors of 50 that divides 50 without a remainder.
1,2,5,10,25,50
Factors of 5110
List of positive integer factors of 5110 that divides 5110 without a remainder.
1,2,5,7,10,14,35,70,73,146,365,511,730,1022,2555,5110
Greatest Common Factor
We found the factors 50,5110 . The biggest common factor number is the GCF number.
So the greatest common factor 50,5110 is 10.
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 280/50, 899/5110?
Answer: LCM of Numerators as per given numbers 280/50, 899/5110 is
LCM of Numerators i.e. for 280,899 is 251720
GCF of denominators i.e. for 50,5110 is 10.
Thus, LCM of Fractions is 25172.Finally, LCM of Fractions for 280/50, 899/5110 is 25172.