Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 61/653, 81/315 quickly i.e. 4941 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 61/653, 81/315 is 4941.
LCM(61/653, 81/315) = 4941
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 61/653,81/315
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 61,81
Least Common Multiple of Numerators i.e. LCM of 61,81 is 4941.
GCF of Denominators means GCF of 653,315 as per the given fractions.
GCF of 653,315 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 61,81
Given numbers has no common factors except 1. So, there LCM is their product i.e 4941
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 61,81 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(61,81) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(61,81) x common factors =1 x 1 = 1
LCM(61,81) = ( 61 × 81 ) / 1
LCM(61,81) = 4941 / 1
LCM(61,81) = 4941
Lets's calculate GCF of 653,315
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4941/1
Therefore the LCM of Fractions 61/653,81/315 is 4941
Factors of 653
List of positive integer factors of 653 that divides 653 without a remainder.
1,653
Factors of 315
List of positive integer factors of 315 that divides 315 without a remainder.
1,3,5,7,9,15,21,35,45,63,105,315
Greatest Common Factor
We found the factors 653,315 . The biggest common factor number is the GCF number.
So the greatest common factor 653,315 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 61/653, 81/315?
Answer: LCM of Numerators as per given numbers 61/653, 81/315 is
LCM of Numerators i.e. for 61,81 is 4941
GCF of denominators i.e. for 653,315 is 1.
Thus, LCM of Fractions is 4941.Finally, LCM of Fractions for 61/653, 81/315 is 4941.