Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 4820/882, 5030/4477 quickly i.e. 2424460 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 4820/882, 5030/4477 is 2424460.
LCM(4820/882, 5030/4477) = 2424460
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 4820/882,5030/4477
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 4820,5030
Least Common Multiple of Numerators i.e. LCM of 4820,5030 is 2424460.
GCF of Denominators means GCF of 882,4477 as per the given fractions.
GCF of 882,4477 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 4820,5030
2 | 4820, 5030 |
5 | 2410, 2515 |
482, 503 |
∴ So the LCM of the given numbers is 2 x 5 x 482 x 503 = 2424460
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 4820,5030 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(4820,5030) = 10
common factors(in case of two or more numbers have common factors) = 1
GCF(4820,5030) x common factors =10 x 1 = 10
LCM(4820,5030) = ( 4820 × 5030 ) / 10
LCM(4820,5030) = 24244600 / 10
LCM(4820,5030) = 2424460
Lets's calculate GCF of 882,4477
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2424460/1
Therefore the LCM of Fractions 4820/882,5030/4477 is 2424460
Factors of 882
List of positive integer factors of 882 that divides 882 without a remainder.
1,2,3,6,7,9,14,18,21,42,49,63,98,126,147,294,441,882
Factors of 4477
List of positive integer factors of 4477 that divides 4477 without a remainder.
1,11,37,121,407,4477
Greatest Common Factor
We found the factors 882,4477 . The biggest common factor number is the GCF number.
So the greatest common factor 882,4477 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 4820/882, 5030/4477?
Answer: LCM of Numerators as per given numbers 4820/882, 5030/4477 is
LCM of Numerators i.e. for 4820,5030 is 2424460
GCF of denominators i.e. for 882,4477 is 1.
Thus, LCM of Fractions is 2424460.Finally, LCM of Fractions for 4820/882, 5030/4477 is 2424460.