Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 30/823, 61/252 quickly i.e. 1830 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 30/823, 61/252 is 1830.
LCM(30/823, 61/252) = 1830
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 30/823,61/252
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 30,61
Least Common Multiple of Numerators i.e. LCM of 30,61 is 1830.
GCF of Denominators means GCF of 823,252 as per the given fractions.
GCF of 823,252 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 30,61
Given numbers has no common factors except 1. So, there LCM is their product i.e 1830
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 30,61 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(30,61) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(30,61) x common factors =1 x 1 = 1
LCM(30,61) = ( 30 × 61 ) / 1
LCM(30,61) = 1830 / 1
LCM(30,61) = 1830
Lets's calculate GCF of 823,252
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1830/1
Therefore the LCM of Fractions 30/823,61/252 is 1830
Factors of 823
List of positive integer factors of 823 that divides 823 without a remainder.
1,823
Factors of 252
List of positive integer factors of 252 that divides 252 without a remainder.
1,2,3,4,6,7,9,12,14,18,21,28,36,42,63,84,126,252
Greatest Common Factor
We found the factors 823,252 . The biggest common factor number is the GCF number.
So the greatest common factor 823,252 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 30/823, 61/252?
Answer: LCM of Numerators as per given numbers 30/823, 61/252 is
LCM of Numerators i.e. for 30,61 is 1830
GCF of denominators i.e. for 823,252 is 1.
Thus, LCM of Fractions is 1830.Finally, LCM of Fractions for 30/823, 61/252 is 1830.