Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 58/347, 635/908, 405/385 quickly i.e. 2983230 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 58/347, 635/908, 405/385 is 2983230.
LCM(58/347, 635/908, 405/385) = 2983230
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 58/347,635/908,405/385
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 58,635,405
Least Common Multiple of Numerators i.e. LCM of 58,635,405 is 2983230.
GCF of Denominators means GCF of 347,908,385 as per the given fractions.
GCF of 347,908,385 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 58,635,405
5 | 58, 635, 405 |
58, 127, 81 |
∴ So the LCM of the given numbers is 5 x 58 x 127 x 81 = 2983230
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 58,635,405 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(58,635,405) = 1
common factors(in case of two or more numbers have common factors) = 5
GCF(58,635,405) x common factors =1 x 5 = 5
LCM(58,635,405) = ( 58 × 635 × 405 ) / 5
LCM(58,635,405) = 14916150 / 5
LCM(58,635,405) = 2983230
Lets's calculate GCF of 347,908,385
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2983230/1
Therefore the LCM of Fractions 58/347,635/908,405/385 is 2983230
Factors of 347
List of positive integer factors of 347 that divides 347 without a remainder.
1,347
Factors of 908
List of positive integer factors of 908 that divides 908 without a remainder.
1,2,4,227,454,908
Factors of 385
List of positive integer factors of 385 that divides 385 without a remainder.
1,5,7,11,35,55,77,385
Greatest Common Factor
We found the factors 347,908,385 . The biggest common factor number is the GCF number.
So the greatest common factor 347,908,385 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 58/347, 635/908, 405/385?
Answer: LCM of Numerators as per given numbers 58/347, 635/908, 405/385 is
LCM of Numerators i.e. for 58,635,405 is 2983230
GCF of denominators i.e. for 347,908,385 is 1.
Thus, LCM of Fractions is 2983230.Finally, LCM of Fractions for 58/347, 635/908, 405/385 is 2983230.