Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 4798/880, 9812/638 quickly i.e. 1069954 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 4798/880, 9812/638 is 1069954.
LCM(4798/880, 9812/638) = 1069954
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 4798/880,9812/638
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 4798,9812
Least Common Multiple of Numerators i.e. LCM of 4798,9812 is 23538988.
GCF of Denominators means GCF of 880,638 as per the given fractions.
GCF of 880,638 is 22 as it is the largest common factor for these numbers.
Lets's calculate LCM of 4798,9812
2 | 4798, 9812 |
2399, 4906 |
∴ So the LCM of the given numbers is 2 x 2399 x 4906 = 23538988
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 4798,9812 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(4798,9812) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(4798,9812) x common factors =2 x 1 = 2
LCM(4798,9812) = ( 4798 × 9812 ) / 2
LCM(4798,9812) = 47077976 / 2
LCM(4798,9812) = 23538988
Lets's calculate GCF of 880,638
2 | 880, 638 |
11 | 440, 319 |
40, 29 |
∴ So the GCF of the given numbers is 2 x 11 = 22
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 23538988/22
Therefore the LCM of Fractions 4798/880,9812/638 is 1069954
Factors of 880
List of positive integer factors of 880 that divides 880 without a remainder.
1,2,4,5,8,10,11,16,20,22,40,44,55,80,88,110,176,220,440,880
Factors of 638
List of positive integer factors of 638 that divides 638 without a remainder.
1,2,11,22,29,58,319,638
Greatest Common Factor
We found the factors 880,638 . The biggest common factor number is the GCF number.
So the greatest common factor 880,638 is 22.
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 4798/880, 9812/638?
Answer: LCM of Numerators as per given numbers 4798/880, 9812/638 is
LCM of Numerators i.e. for 4798,9812 is 23538988
GCF of denominators i.e. for 880,638 is 22.
Thus, LCM of Fractions is 1069954.Finally, LCM of Fractions for 4798/880, 9812/638 is 1069954.