Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 3482/118, 6530/8947 quickly i.e. 11368730 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 3482/118, 6530/8947 is 11368730.
LCM(3482/118, 6530/8947) = 11368730
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 3482/118,6530/8947
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 3482,6530
Least Common Multiple of Numerators i.e. LCM of 3482,6530 is 11368730.
GCF of Denominators means GCF of 118,8947 as per the given fractions.
GCF of 118,8947 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 3482,6530
2 | 3482, 6530 |
1741, 3265 |
∴ So the LCM of the given numbers is 2 x 1741 x 3265 = 11368730
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 3482,6530 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(3482,6530) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(3482,6530) x common factors =2 x 1 = 2
LCM(3482,6530) = ( 3482 × 6530 ) / 2
LCM(3482,6530) = 22737460 / 2
LCM(3482,6530) = 11368730
Lets's calculate GCF of 118,8947
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 11368730/1
Therefore the LCM of Fractions 3482/118,6530/8947 is 11368730
Factors of 118
List of positive integer factors of 118 that divides 118 without a remainder.
1,2,59,118
Factors of 8947
List of positive integer factors of 8947 that divides 8947 without a remainder.
1,23,389,8947
Greatest Common Factor
We found the factors 118,8947 . The biggest common factor number is the GCF number.
So the greatest common factor 118,8947 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 3482/118, 6530/8947?
Answer: LCM of Numerators as per given numbers 3482/118, 6530/8947 is
LCM of Numerators i.e. for 3482,6530 is 11368730
GCF of denominators i.e. for 118,8947 is 1.
Thus, LCM of Fractions is 11368730.Finally, LCM of Fractions for 3482/118, 6530/8947 is 11368730.