Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 7465/957, 9849/930 quickly i.e. 24507595 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 7465/957, 9849/930 is 24507595.
LCM(7465/957, 9849/930) = 24507595
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 7465/957,9849/930
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 7465,9849
Least Common Multiple of Numerators i.e. LCM of 7465,9849 is 73522785.
GCF of Denominators means GCF of 957,930 as per the given fractions.
GCF of 957,930 is 3 as it is the largest common factor for these numbers.
Lets's calculate LCM of 7465,9849
Given numbers has no common factors except 1. So, there LCM is their product i.e 73522785
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 7465,9849 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(7465,9849) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(7465,9849) x common factors =1 x 1 = 1
LCM(7465,9849) = ( 7465 × 9849 ) / 1
LCM(7465,9849) = 73522785 / 1
LCM(7465,9849) = 73522785
Lets's calculate GCF of 957,930
3 | 957, 930 |
319, 310 |
∴ So the GCF of the given numbers is 3 = 3
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 73522785/3
Therefore the LCM of Fractions 7465/957,9849/930 is 24507595
Factors of 957
List of positive integer factors of 957 that divides 957 without a remainder.
1,3,11,29,33,87,319,957
Factors of 930
List of positive integer factors of 930 that divides 930 without a remainder.
1,2,3,5,6,10,15,30,31,62,93,155,186,310,465,930
Greatest Common Factor
We found the factors 957,930 . The biggest common factor number is the GCF number.
So the greatest common factor 957,930 is 3.
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 7465/957, 9849/930?
Answer: LCM of Numerators as per given numbers 7465/957, 9849/930 is
LCM of Numerators i.e. for 7465,9849 is 73522785
GCF of denominators i.e. for 957,930 is 3.
Thus, LCM of Fractions is 24507595.Finally, LCM of Fractions for 7465/957, 9849/930 is 24507595.