Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 5/42, 58/82, 607/53 quickly i.e. 176030 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 5/42, 58/82, 607/53 is 176030.
LCM(5/42, 58/82, 607/53) = 176030
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 5/42,58/82,607/53
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 5,58,607
Least Common Multiple of Numerators i.e. LCM of 5,58,607 is 176030.
GCF of Denominators means GCF of 42,82,53 as per the given fractions.
GCF of 42,82,53 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 5,58,607
Given numbers has no common factors except 1. So, there LCM is their product i.e 176030
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 5,58,607 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(5,58,607) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(5,58,607) x common factors =1 x 1 = 1
LCM(5,58,607) = ( 5 × 58 × 607 ) / 1
LCM(5,58,607) = 176030 / 1
LCM(5,58,607) = 176030
Lets's calculate GCF of 42,82,53
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 176030/1
Therefore the LCM of Fractions 5/42,58/82,607/53 is 176030
Factors of 42
List of positive integer factors of 42 that divides 42 without a remainder.
1,2,3,6,7,14,21,42
Factors of 82
List of positive integer factors of 82 that divides 82 without a remainder.
1,2,41,82
Factors of 53
List of positive integer factors of 53 that divides 53 without a remainder.
1,53
Greatest Common Factor
We found the factors 42,82,53 . The biggest common factor number is the GCF number.
So the greatest common factor 42,82,53 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 5/42, 58/82, 607/53?
Answer: LCM of Numerators as per given numbers 5/42, 58/82, 607/53 is
LCM of Numerators i.e. for 5,58,607 is 176030
GCF of denominators i.e. for 42,82,53 is 1.
Thus, LCM of Fractions is 176030.Finally, LCM of Fractions for 5/42, 58/82, 607/53 is 176030.