Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 246/234, 997/577, 423/520 quickly i.e. 34581942 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 246/234, 997/577, 423/520 is 34581942.
LCM(246/234, 997/577, 423/520) = 34581942
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 246/234,997/577,423/520
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 246,997,423
Least Common Multiple of Numerators i.e. LCM of 246,997,423 is 34581942.
GCF of Denominators means GCF of 234,577,520 as per the given fractions.
GCF of 234,577,520 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 246,997,423
3 | 246, 997, 423 |
82, 997, 141 |
∴ So the LCM of the given numbers is 3 x 82 x 997 x 141 = 34581942
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 246,997,423 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(246,997,423) = 1
common factors(in case of two or more numbers have common factors) = 3
GCF(246,997,423) x common factors =1 x 3 = 3
LCM(246,997,423) = ( 246 × 997 × 423 ) / 3
LCM(246,997,423) = 103745826 / 3
LCM(246,997,423) = 34581942
Lets's calculate GCF of 234,577,520
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 34581942/1
Therefore the LCM of Fractions 246/234,997/577,423/520 is 34581942
Factors of 234
List of positive integer factors of 234 that divides 234 without a remainder.
1,2,3,6,9,13,18,26,39,78,117,234
Factors of 577
List of positive integer factors of 577 that divides 577 without a remainder.
1,577
Factors of 520
List of positive integer factors of 520 that divides 520 without a remainder.
1,2,4,5,8,10,13,20,26,40,52,65,104,130,260,520
Greatest Common Factor
We found the factors 234,577,520 . The biggest common factor number is the GCF number.
So the greatest common factor 234,577,520 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 246/234, 997/577, 423/520?
Answer: LCM of Numerators as per given numbers 246/234, 997/577, 423/520 is
LCM of Numerators i.e. for 246,997,423 is 34581942
GCF of denominators i.e. for 234,577,520 is 1.
Thus, LCM of Fractions is 34581942.Finally, LCM of Fractions for 246/234, 997/577, 423/520 is 34581942.