Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 4807/440, 6263/110 quickly i.e. 30106241/110 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 4807/440, 6263/110 is 30106241/110.
LCM(4807/440, 6263/110) = 30106241/110
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 4807/440,6263/110
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 4807,6263
Least Common Multiple of Numerators i.e. LCM of 4807,6263 is 30106241.
GCF of Denominators means GCF of 440,110 as per the given fractions.
GCF of 440,110 is 110 as it is the largest common factor for these numbers.
Lets's calculate LCM of 4807,6263
Given numbers has no common factors except 1. So, there LCM is their product i.e 30106241
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 4807,6263 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(4807,6263) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(4807,6263) x common factors =1 x 1 = 1
LCM(4807,6263) = ( 4807 × 6263 ) / 1
LCM(4807,6263) = 30106241 / 1
LCM(4807,6263) = 30106241
Lets's calculate GCF of 440,110
2 | 440, 110 |
5 | 220, 55 |
11 | 44, 11 |
4, 1 |
∴ So the GCF of the given numbers is 2 x 5 x 11 = 110
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 30106241/110
Therefore the LCM of Fractions 4807/440,6263/110 is 30106241/110
Factors of 440
List of positive integer factors of 440 that divides 440 without a remainder.
1,2,4,5,8,10,11,20,22,40,44,55,88,110,220,440
Factors of 110
List of positive integer factors of 110 that divides 110 without a remainder.
1,2,5,10,11,22,55,110
Greatest Common Factor
We found the factors 440,110 . The biggest common factor number is the GCF number.
So the greatest common factor 440,110 is 110.
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 4807/440, 6263/110?
Answer: LCM of Numerators as per given numbers 4807/440, 6263/110 is
LCM of Numerators i.e. for 4807,6263 is 30106241
GCF of denominators i.e. for 440,110 is 110.
Thus, LCM of Fractions is 30106241/110.Finally, LCM of Fractions for 4807/440, 6263/110 is 30106241/110.