Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 7550/22, 9132/752 quickly i.e. 17236650 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 7550/22, 9132/752 is 17236650.
LCM(7550/22, 9132/752) = 17236650
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 7550/22,9132/752
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 7550,9132
Least Common Multiple of Numerators i.e. LCM of 7550,9132 is 34473300.
GCF of Denominators means GCF of 22,752 as per the given fractions.
GCF of 22,752 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 7550,9132
2 | 7550, 9132 |
3775, 4566 |
∴ So the LCM of the given numbers is 2 x 3775 x 4566 = 34473300
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 7550,9132 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(7550,9132) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(7550,9132) x common factors =2 x 1 = 2
LCM(7550,9132) = ( 7550 × 9132 ) / 2
LCM(7550,9132) = 68946600 / 2
LCM(7550,9132) = 34473300
Lets's calculate GCF of 22,752
2 | 22, 752 |
11, 376 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 34473300/2
Therefore the LCM of Fractions 7550/22,9132/752 is 17236650
Factors of 22
List of positive integer factors of 22 that divides 22 without a remainder.
1,2,11,22
Factors of 752
List of positive integer factors of 752 that divides 752 without a remainder.
1,2,4,8,16,47,94,188,376,752
Greatest Common Factor
We found the factors 22,752 . The biggest common factor number is the GCF number.
So the greatest common factor 22,752 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 7550/22, 9132/752?
Answer: LCM of Numerators as per given numbers 7550/22, 9132/752 is
LCM of Numerators i.e. for 7550,9132 is 34473300
GCF of denominators i.e. for 22,752 is 2.
Thus, LCM of Fractions is 17236650.Finally, LCM of Fractions for 7550/22, 9132/752 is 17236650.