Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 58/380, 21/646, 439/427 quickly i.e. 534702 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 58/380, 21/646, 439/427 is 534702.
LCM(58/380, 21/646, 439/427) = 534702
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 58/380,21/646,439/427
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 58,21,439
Least Common Multiple of Numerators i.e. LCM of 58,21,439 is 534702.
GCF of Denominators means GCF of 380,646,427 as per the given fractions.
GCF of 380,646,427 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 58,21,439
Given numbers has no common factors except 1. So, there LCM is their product i.e 534702
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 58,21,439 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(58,21,439) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(58,21,439) x common factors =1 x 1 = 1
LCM(58,21,439) = ( 58 × 21 × 439 ) / 1
LCM(58,21,439) = 534702 / 1
LCM(58,21,439) = 534702
Lets's calculate GCF of 380,646,427
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 534702/1
Therefore the LCM of Fractions 58/380,21/646,439/427 is 534702
Factors of 380
List of positive integer factors of 380 that divides 380 without a remainder.
1,2,4,5,10,19,20,38,76,95,190,380
Factors of 646
List of positive integer factors of 646 that divides 646 without a remainder.
1,2,17,19,34,38,323,646
Factors of 427
List of positive integer factors of 427 that divides 427 without a remainder.
1,7,61,427
Greatest Common Factor
We found the factors 380,646,427 . The biggest common factor number is the GCF number.
So the greatest common factor 380,646,427 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 58/380, 21/646, 439/427?
Answer: LCM of Numerators as per given numbers 58/380, 21/646, 439/427 is
LCM of Numerators i.e. for 58,21,439 is 534702
GCF of denominators i.e. for 380,646,427 is 1.
Thus, LCM of Fractions is 534702.Finally, LCM of Fractions for 58/380, 21/646, 439/427 is 534702.