Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 4802/748, 2204/4398 quickly i.e. 2645902 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 4802/748, 2204/4398 is 2645902.
LCM(4802/748, 2204/4398) = 2645902
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 4802/748,2204/4398
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 4802,2204
Least Common Multiple of Numerators i.e. LCM of 4802,2204 is 5291804.
GCF of Denominators means GCF of 748,4398 as per the given fractions.
GCF of 748,4398 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 4802,2204
2 | 4802, 2204 |
2401, 1102 |
∴ So the LCM of the given numbers is 2 x 2401 x 1102 = 5291804
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 4802,2204 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(4802,2204) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(4802,2204) x common factors =2 x 1 = 2
LCM(4802,2204) = ( 4802 × 2204 ) / 2
LCM(4802,2204) = 10583608 / 2
LCM(4802,2204) = 5291804
Lets's calculate GCF of 748,4398
2 | 748, 4398 |
374, 2199 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5291804/2
Therefore the LCM of Fractions 4802/748,2204/4398 is 2645902
Factors of 748
List of positive integer factors of 748 that divides 748 without a remainder.
1,2,4,11,17,22,34,44,68,187,374,748
Factors of 4398
List of positive integer factors of 4398 that divides 4398 without a remainder.
1,2,3,6,733,1466,2199,4398
Greatest Common Factor
We found the factors 748,4398 . The biggest common factor number is the GCF number.
So the greatest common factor 748,4398 is 2.
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 4802/748, 2204/4398?
Answer: LCM of Numerators as per given numbers 4802/748, 2204/4398 is
LCM of Numerators i.e. for 4802,2204 is 5291804
GCF of denominators i.e. for 748,4398 is 2.
Thus, LCM of Fractions is 2645902.Finally, LCM of Fractions for 4802/748, 2204/4398 is 2645902.