Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 932/35, 530/9104 quickly i.e. 246980 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 932/35, 530/9104 is 246980.
LCM(932/35, 530/9104) = 246980
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 932/35,530/9104
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 932,530
Least Common Multiple of Numerators i.e. LCM of 932,530 is 246980.
GCF of Denominators means GCF of 35,9104 as per the given fractions.
GCF of 35,9104 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 932,530
2 | 932, 530 |
466, 265 |
∴ So the LCM of the given numbers is 2 x 466 x 265 = 246980
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 932,530 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(932,530) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(932,530) x common factors =2 x 1 = 2
LCM(932,530) = ( 932 × 530 ) / 2
LCM(932,530) = 493960 / 2
LCM(932,530) = 246980
Lets's calculate GCF of 35,9104
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 246980/1
Therefore the LCM of Fractions 932/35,530/9104 is 246980
Factors of 35
List of positive integer factors of 35 that divides 35 without a remainder.
1,5,7,35
Factors of 9104
List of positive integer factors of 9104 that divides 9104 without a remainder.
1,2,4,8,16,569,1138,2276,4552,9104
Greatest Common Factor
We found the factors 35,9104 . The biggest common factor number is the GCF number.
So the greatest common factor 35,9104 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 932/35, 530/9104?
Answer: LCM of Numerators as per given numbers 932/35, 530/9104 is
LCM of Numerators i.e. for 932,530 is 246980
GCF of denominators i.e. for 35,9104 is 1.
Thus, LCM of Fractions is 246980.Finally, LCM of Fractions for 932/35, 530/9104 is 246980.