Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 961/30, 318/7390 quickly i.e. 305598/10 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 961/30, 318/7390 is 305598/10.
LCM(961/30, 318/7390) = 305598/10
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 961/30,318/7390
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 961,318
Least Common Multiple of Numerators i.e. LCM of 961,318 is 305598.
GCF of Denominators means GCF of 30,7390 as per the given fractions.
GCF of 30,7390 is 10 as it is the largest common factor for these numbers.
Lets's calculate LCM of 961,318
Given numbers has no common factors except 1. So, there LCM is their product i.e 305598
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 961,318 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(961,318) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(961,318) x common factors =1 x 1 = 1
LCM(961,318) = ( 961 × 318 ) / 1
LCM(961,318) = 305598 / 1
LCM(961,318) = 305598
Lets's calculate GCF of 30,7390
2 | 30, 7390 |
5 | 15, 3695 |
3, 739 |
∴ So the GCF of the given numbers is 2 x 5 = 10
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 305598/10
Therefore the LCM of Fractions 961/30,318/7390 is 305598/10
Factors of 30
List of positive integer factors of 30 that divides 30 without a remainder.
1,2,3,5,6,10,15,30
Factors of 7390
List of positive integer factors of 7390 that divides 7390 without a remainder.
1,2,5,10,739,1478,3695,7390
Greatest Common Factor
We found the factors 30,7390 . The biggest common factor number is the GCF number.
So the greatest common factor 30,7390 is 10.
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 961/30, 318/7390?
Answer: LCM of Numerators as per given numbers 961/30, 318/7390 is
LCM of Numerators i.e. for 961,318 is 305598
GCF of denominators i.e. for 30,7390 is 10.
Thus, LCM of Fractions is 305598/10.Finally, LCM of Fractions for 961/30, 318/7390 is 305598/10.