Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 7533/22, 3955/556 quickly i.e. 29793015/2 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 7533/22, 3955/556 is 29793015/2.
LCM(7533/22, 3955/556) = 29793015/2
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 7533/22,3955/556
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 7533,3955
Least Common Multiple of Numerators i.e. LCM of 7533,3955 is 29793015.
GCF of Denominators means GCF of 22,556 as per the given fractions.
GCF of 22,556 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 7533,3955
Given numbers has no common factors except 1. So, there LCM is their product i.e 29793015
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 7533,3955 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(7533,3955) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(7533,3955) x common factors =1 x 1 = 1
LCM(7533,3955) = ( 7533 × 3955 ) / 1
LCM(7533,3955) = 29793015 / 1
LCM(7533,3955) = 29793015
Lets's calculate GCF of 22,556
2 | 22, 556 |
11, 278 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 29793015/2
Therefore the LCM of Fractions 7533/22,3955/556 is 29793015/2
Factors of 22
List of positive integer factors of 22 that divides 22 without a remainder.
1,2,11,22
Factors of 556
List of positive integer factors of 556 that divides 556 without a remainder.
1,2,4,139,278,556
Greatest Common Factor
We found the factors 22,556 . The biggest common factor number is the GCF number.
So the greatest common factor 22,556 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 7533/22, 3955/556?
Answer: LCM of Numerators as per given numbers 7533/22, 3955/556 is
LCM of Numerators i.e. for 7533,3955 is 29793015
GCF of denominators i.e. for 22,556 is 2.
Thus, LCM of Fractions is 29793015/2.Finally, LCM of Fractions for 7533/22, 3955/556 is 29793015/2.