Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 220/55, 959/2458 quickly i.e. 210980 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 220/55, 959/2458 is 210980.
LCM(220/55, 959/2458) = 210980
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 220/55,959/2458
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 220,959
Least Common Multiple of Numerators i.e. LCM of 220,959 is 210980.
GCF of Denominators means GCF of 55,2458 as per the given fractions.
GCF of 55,2458 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 220,959
Given numbers has no common factors except 1. So, there LCM is their product i.e 210980
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 220,959 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(220,959) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(220,959) x common factors =1 x 1 = 1
LCM(220,959) = ( 220 × 959 ) / 1
LCM(220,959) = 210980 / 1
LCM(220,959) = 210980
Lets's calculate GCF of 55,2458
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 210980/1
Therefore the LCM of Fractions 220/55,959/2458 is 210980
Factors of 55
List of positive integer factors of 55 that divides 55 without a remainder.
1,5,11,55
Factors of 2458
List of positive integer factors of 2458 that divides 2458 without a remainder.
1,2,1229,2458
Greatest Common Factor
We found the factors 55,2458 . The biggest common factor number is the GCF number.
So the greatest common factor 55,2458 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 220/55, 959/2458?
Answer: LCM of Numerators as per given numbers 220/55, 959/2458 is
LCM of Numerators i.e. for 220,959 is 210980
GCF of denominators i.e. for 55,2458 is 1.
Thus, LCM of Fractions is 210980.Finally, LCM of Fractions for 220/55, 959/2458 is 210980.