Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 775/184, 4248/253 quickly i.e. 3292200/23 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 775/184, 4248/253 is 3292200/23.
LCM(775/184, 4248/253) = 3292200/23
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 775/184,4248/253
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 775,4248
Least Common Multiple of Numerators i.e. LCM of 775,4248 is 3292200.
GCF of Denominators means GCF of 184,253 as per the given fractions.
GCF of 184,253 is 23 as it is the largest common factor for these numbers.
Lets's calculate LCM of 775,4248
Given numbers has no common factors except 1. So, there LCM is their product i.e 3292200
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 775,4248 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(775,4248) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(775,4248) x common factors =1 x 1 = 1
LCM(775,4248) = ( 775 × 4248 ) / 1
LCM(775,4248) = 3292200 / 1
LCM(775,4248) = 3292200
Lets's calculate GCF of 184,253
23 | 184, 253 |
8, 11 |
∴ So the GCF of the given numbers is 23 = 23
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3292200/23
Therefore the LCM of Fractions 775/184,4248/253 is 3292200/23
Factors of 184
List of positive integer factors of 184 that divides 184 without a remainder.
1,2,4,8,23,46,92,184
Factors of 253
List of positive integer factors of 253 that divides 253 without a remainder.
1,11,23,253
Greatest Common Factor
We found the factors 184,253 . The biggest common factor number is the GCF number.
So the greatest common factor 184,253 is 23.
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 775/184, 4248/253?
Answer: LCM of Numerators as per given numbers 775/184, 4248/253 is
LCM of Numerators i.e. for 775,4248 is 3292200
GCF of denominators i.e. for 184,253 is 23.
Thus, LCM of Fractions is 3292200/23.Finally, LCM of Fractions for 775/184, 4248/253 is 3292200/23.