Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 481/225, 5088/980 quickly i.e. 2447328/5 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 481/225, 5088/980 is 2447328/5.
LCM(481/225, 5088/980) = 2447328/5
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 481/225,5088/980
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 481,5088
Least Common Multiple of Numerators i.e. LCM of 481,5088 is 2447328.
GCF of Denominators means GCF of 225,980 as per the given fractions.
GCF of 225,980 is 5 as it is the largest common factor for these numbers.
Lets's calculate LCM of 481,5088
Given numbers has no common factors except 1. So, there LCM is their product i.e 2447328
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 481,5088 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(481,5088) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(481,5088) x common factors =1 x 1 = 1
LCM(481,5088) = ( 481 × 5088 ) / 1
LCM(481,5088) = 2447328 / 1
LCM(481,5088) = 2447328
Lets's calculate GCF of 225,980
5 | 225, 980 |
45, 196 |
∴ So the GCF of the given numbers is 5 = 5
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2447328/5
Therefore the LCM of Fractions 481/225,5088/980 is 2447328/5
Factors of 225
List of positive integer factors of 225 that divides 225 without a remainder.
1,3,5,9,15,25,45,75,225
Factors of 980
List of positive integer factors of 980 that divides 980 without a remainder.
1,2,4,5,7,10,14,20,28,35,49,70,98,140,196,245,490,980
Greatest Common Factor
We found the factors 225,980 . The biggest common factor number is the GCF number.
So the greatest common factor 225,980 is 5.
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 481/225, 5088/980?
Answer: LCM of Numerators as per given numbers 481/225, 5088/980 is
LCM of Numerators i.e. for 481,5088 is 2447328
GCF of denominators i.e. for 225,980 is 5.
Thus, LCM of Fractions is 2447328/5.Finally, LCM of Fractions for 481/225, 5088/980 is 2447328/5.