Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 237/584, 6146/9724 quickly i.e. 1456602/4 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 237/584, 6146/9724 is 1456602/4.
LCM(237/584, 6146/9724) = 1456602/4
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 237/584,6146/9724
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 237,6146
Least Common Multiple of Numerators i.e. LCM of 237,6146 is 1456602.
GCF of Denominators means GCF of 584,9724 as per the given fractions.
GCF of 584,9724 is 4 as it is the largest common factor for these numbers.
Lets's calculate LCM of 237,6146
Given numbers has no common factors except 1. So, there LCM is their product i.e 1456602
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 237,6146 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(237,6146) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(237,6146) x common factors =1 x 1 = 1
LCM(237,6146) = ( 237 × 6146 ) / 1
LCM(237,6146) = 1456602 / 1
LCM(237,6146) = 1456602
Lets's calculate GCF of 584,9724
2 | 584, 9724 |
2 | 292, 4862 |
146, 2431 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1456602/4
Therefore the LCM of Fractions 237/584,6146/9724 is 1456602/4
Factors of 584
List of positive integer factors of 584 that divides 584 without a remainder.
1,2,4,8,73,146,292,584
Factors of 9724
List of positive integer factors of 9724 that divides 9724 without a remainder.
1,2,4,11,13,17,22,26,34,44,52,68,143,187,221,286,374,442,572,748,884,2431,4862,9724
Greatest Common Factor
We found the factors 584,9724 . The biggest common factor number is the GCF number.
So the greatest common factor 584,9724 is 4.
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 237/584, 6146/9724?
Answer: LCM of Numerators as per given numbers 237/584, 6146/9724 is
LCM of Numerators i.e. for 237,6146 is 1456602
GCF of denominators i.e. for 584,9724 is 4.
Thus, LCM of Fractions is 1456602/4.Finally, LCM of Fractions for 237/584, 6146/9724 is 1456602/4.