Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 7533/178, 2817/3528 quickly i.e. 2357829/2 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 7533/178, 2817/3528 is 2357829/2.
LCM(7533/178, 2817/3528) = 2357829/2
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 7533/178,2817/3528
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 7533,2817
Least Common Multiple of Numerators i.e. LCM of 7533,2817 is 2357829.
GCF of Denominators means GCF of 178,3528 as per the given fractions.
GCF of 178,3528 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 7533,2817
3 | 7533, 2817 |
3 | 2511, 939 |
837, 313 |
∴ So the LCM of the given numbers is 3 x 3 x 837 x 313 = 2357829
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 7533,2817 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(7533,2817) = 9
common factors(in case of two or more numbers have common factors) = 1
GCF(7533,2817) x common factors =9 x 1 = 9
LCM(7533,2817) = ( 7533 × 2817 ) / 9
LCM(7533,2817) = 21220461 / 9
LCM(7533,2817) = 2357829
Lets's calculate GCF of 178,3528
2 | 178, 3528 |
89, 1764 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2357829/2
Therefore the LCM of Fractions 7533/178,2817/3528 is 2357829/2
Factors of 178
List of positive integer factors of 178 that divides 178 without a remainder.
1,2,89,178
Factors of 3528
List of positive integer factors of 3528 that divides 3528 without a remainder.
1,2,3,4,6,7,8,9,12,14,18,21,24,28,36,42,49,56,63,72,84,98,126,147,168,196,252,294,392,441,504,588,882,1176,1764,3528
Greatest Common Factor
We found the factors 178,3528 . The biggest common factor number is the GCF number.
So the greatest common factor 178,3528 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 7533/178, 2817/3528?
Answer: LCM of Numerators as per given numbers 7533/178, 2817/3528 is
LCM of Numerators i.e. for 7533,2817 is 2357829
GCF of denominators i.e. for 178,3528 is 2.
Thus, LCM of Fractions is 2357829/2.Finally, LCM of Fractions for 7533/178, 2817/3528 is 2357829/2.