Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 9880/104, 6262/9728 quickly i.e. 3866785 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 9880/104, 6262/9728 is 3866785.
LCM(9880/104, 6262/9728) = 3866785
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 9880/104,6262/9728
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 9880,6262
Least Common Multiple of Numerators i.e. LCM of 9880,6262 is 30934280.
GCF of Denominators means GCF of 104,9728 as per the given fractions.
GCF of 104,9728 is 8 as it is the largest common factor for these numbers.
Lets's calculate LCM of 9880,6262
2 | 9880, 6262 |
4940, 3131 |
∴ So the LCM of the given numbers is 2 x 4940 x 3131 = 30934280
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 9880,6262 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(9880,6262) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(9880,6262) x common factors =2 x 1 = 2
LCM(9880,6262) = ( 9880 × 6262 ) / 2
LCM(9880,6262) = 61868560 / 2
LCM(9880,6262) = 30934280
Lets's calculate GCF of 104,9728
2 | 104, 9728 |
2 | 52, 4864 |
2 | 26, 2432 |
13, 1216 |
∴ So the GCF of the given numbers is 2 x 2 x 2 = 8
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 30934280/8
Therefore the LCM of Fractions 9880/104,6262/9728 is 3866785
Factors of 104
List of positive integer factors of 104 that divides 104 without a remainder.
1,2,4,8,13,26,52,104
Factors of 9728
List of positive integer factors of 9728 that divides 9728 without a remainder.
1,2,4,8,16,19,32,38,64,76,128,152,256,304,512,608,1216,2432,4864,9728
Greatest Common Factor
We found the factors 104,9728 . The biggest common factor number is the GCF number.
So the greatest common factor 104,9728 is 8.
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 9880/104, 6262/9728?
Answer: LCM of Numerators as per given numbers 9880/104, 6262/9728 is
LCM of Numerators i.e. for 9880,6262 is 30934280
GCF of denominators i.e. for 104,9728 is 8.
Thus, LCM of Fractions is 3866785.Finally, LCM of Fractions for 9880/104, 6262/9728 is 3866785.