Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 9520/91, 7486/973 quickly i.e. 5090480 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 9520/91, 7486/973 is 5090480.
LCM(9520/91, 7486/973) = 5090480
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 9520/91,7486/973
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 9520,7486
Least Common Multiple of Numerators i.e. LCM of 9520,7486 is 35633360.
GCF of Denominators means GCF of 91,973 as per the given fractions.
GCF of 91,973 is 7 as it is the largest common factor for these numbers.
Lets's calculate LCM of 9520,7486
2 | 9520, 7486 |
4760, 3743 |
∴ So the LCM of the given numbers is 2 x 4760 x 3743 = 35633360
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 9520,7486 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(9520,7486) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(9520,7486) x common factors =2 x 1 = 2
LCM(9520,7486) = ( 9520 × 7486 ) / 2
LCM(9520,7486) = 71266720 / 2
LCM(9520,7486) = 35633360
Lets's calculate GCF of 91,973
7 | 91, 973 |
13, 139 |
∴ So the GCF of the given numbers is 7 = 7
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 35633360/7
Therefore the LCM of Fractions 9520/91,7486/973 is 5090480
Factors of 91
List of positive integer factors of 91 that divides 91 without a remainder.
1,7,13,91
Factors of 973
List of positive integer factors of 973 that divides 973 without a remainder.
1,7,139,973
Greatest Common Factor
We found the factors 91,973 . The biggest common factor number is the GCF number.
So the greatest common factor 91,973 is 7.
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 9520/91, 7486/973?
Answer: LCM of Numerators as per given numbers 9520/91, 7486/973 is
LCM of Numerators i.e. for 9520,7486 is 35633360
GCF of denominators i.e. for 91,973 is 7.
Thus, LCM of Fractions is 5090480.Finally, LCM of Fractions for 9520/91, 7486/973 is 5090480.