Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 58/941, 930/460, 512/729 quickly i.e. 6904320 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 58/941, 930/460, 512/729 is 6904320.
LCM(58/941, 930/460, 512/729) = 6904320
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 58/941,930/460,512/729
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 58,930,512
Least Common Multiple of Numerators i.e. LCM of 58,930,512 is 6904320.
GCF of Denominators means GCF of 941,460,729 as per the given fractions.
GCF of 941,460,729 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 58,930,512
2 | 58, 930, 512 |
29, 465, 256 |
∴ So the LCM of the given numbers is 2 x 29 x 465 x 256 = 6904320
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 58,930,512 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(58,930,512) = 2
common factors(in case of two or more numbers have common factors) = 2
GCF(58,930,512) x common factors =2 x 2 = 4
LCM(58,930,512) = ( 58 × 930 × 512 ) / 4
LCM(58,930,512) = 27617280 / 4
LCM(58,930,512) = 6904320
Lets's calculate GCF of 941,460,729
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 6904320/1
Therefore the LCM of Fractions 58/941,930/460,512/729 is 6904320
Factors of 941
List of positive integer factors of 941 that divides 941 without a remainder.
1,941
Factors of 460
List of positive integer factors of 460 that divides 460 without a remainder.
1,2,4,5,10,20,23,46,92,115,230,460
Factors of 729
List of positive integer factors of 729 that divides 729 without a remainder.
1,3,9,27,81,243,729
Greatest Common Factor
We found the factors 941,460,729 . The biggest common factor number is the GCF number.
So the greatest common factor 941,460,729 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 58/941, 930/460, 512/729?
Answer: LCM of Numerators as per given numbers 58/941, 930/460, 512/729 is
LCM of Numerators i.e. for 58,930,512 is 6904320
GCF of denominators i.e. for 941,460,729 is 1.
Thus, LCM of Fractions is 6904320.Finally, LCM of Fractions for 58/941, 930/460, 512/729 is 6904320.