Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 9537/22, 3520/436 quickly i.e. 1525920 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 9537/22, 3520/436 is 1525920.
LCM(9537/22, 3520/436) = 1525920
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 9537/22,3520/436
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 9537,3520
Least Common Multiple of Numerators i.e. LCM of 9537,3520 is 3051840.
GCF of Denominators means GCF of 22,436 as per the given fractions.
GCF of 22,436 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 9537,3520
11 | 9537, 3520 |
867, 320 |
∴ So the LCM of the given numbers is 11 x 867 x 320 = 3051840
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 9537,3520 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(9537,3520) = 11
common factors(in case of two or more numbers have common factors) = 1
GCF(9537,3520) x common factors =11 x 1 = 11
LCM(9537,3520) = ( 9537 × 3520 ) / 11
LCM(9537,3520) = 33570240 / 11
LCM(9537,3520) = 3051840
Lets's calculate GCF of 22,436
2 | 22, 436 |
11, 218 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3051840/2
Therefore the LCM of Fractions 9537/22,3520/436 is 1525920
Factors of 22
List of positive integer factors of 22 that divides 22 without a remainder.
1,2,11,22
Factors of 436
List of positive integer factors of 436 that divides 436 without a remainder.
1,2,4,109,218,436
Greatest Common Factor
We found the factors 22,436 . The biggest common factor number is the GCF number.
So the greatest common factor 22,436 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 9537/22, 3520/436?
Answer: LCM of Numerators as per given numbers 9537/22, 3520/436 is
LCM of Numerators i.e. for 9537,3520 is 3051840
GCF of denominators i.e. for 22,436 is 2.
Thus, LCM of Fractions is 1525920.Finally, LCM of Fractions for 9537/22, 3520/436 is 1525920.