Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 9773/740, 8522/1526 quickly i.e. 41642753 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 9773/740, 8522/1526 is 41642753.
LCM(9773/740, 8522/1526) = 41642753
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 9773/740,8522/1526
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 9773,8522
Least Common Multiple of Numerators i.e. LCM of 9773,8522 is 83285506.
GCF of Denominators means GCF of 740,1526 as per the given fractions.
GCF of 740,1526 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 9773,8522
Given numbers has no common factors except 1. So, there LCM is their product i.e 83285506
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 9773,8522 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(9773,8522) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(9773,8522) x common factors =1 x 1 = 1
LCM(9773,8522) = ( 9773 × 8522 ) / 1
LCM(9773,8522) = 83285506 / 1
LCM(9773,8522) = 83285506
Lets's calculate GCF of 740,1526
2 | 740, 1526 |
370, 763 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 83285506/2
Therefore the LCM of Fractions 9773/740,8522/1526 is 41642753
Factors of 740
List of positive integer factors of 740 that divides 740 without a remainder.
1,2,4,5,10,20,37,74,148,185,370,740
Factors of 1526
List of positive integer factors of 1526 that divides 1526 without a remainder.
1,2,7,14,109,218,763,1526
Greatest Common Factor
We found the factors 740,1526 . The biggest common factor number is the GCF number.
So the greatest common factor 740,1526 is 2.
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 9773/740, 8522/1526?
Answer: LCM of Numerators as per given numbers 9773/740, 8522/1526 is
LCM of Numerators i.e. for 9773,8522 is 83285506
GCF of denominators i.e. for 740,1526 is 2.
Thus, LCM of Fractions is 41642753.Finally, LCM of Fractions for 9773/740, 8522/1526 is 41642753.