Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 57/262, 2390/4436 quickly i.e. 68115 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 57/262, 2390/4436 is 68115.
LCM(57/262, 2390/4436) = 68115
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 57/262,2390/4436
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 57,2390
Least Common Multiple of Numerators i.e. LCM of 57,2390 is 136230.
GCF of Denominators means GCF of 262,4436 as per the given fractions.
GCF of 262,4436 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 57,2390
Given numbers has no common factors except 1. So, there LCM is their product i.e 136230
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 57,2390 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(57,2390) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(57,2390) x common factors =1 x 1 = 1
LCM(57,2390) = ( 57 × 2390 ) / 1
LCM(57,2390) = 136230 / 1
LCM(57,2390) = 136230
Lets's calculate GCF of 262,4436
2 | 262, 4436 |
131, 2218 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 136230/2
Therefore the LCM of Fractions 57/262,2390/4436 is 68115
Factors of 262
List of positive integer factors of 262 that divides 262 without a remainder.
1,2,131,262
Factors of 4436
List of positive integer factors of 4436 that divides 4436 without a remainder.
1,2,4,1109,2218,4436
Greatest Common Factor
We found the factors 262,4436 . The biggest common factor number is the GCF number.
So the greatest common factor 262,4436 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 57/262, 2390/4436?
Answer: LCM of Numerators as per given numbers 57/262, 2390/4436 is
LCM of Numerators i.e. for 57,2390 is 136230
GCF of denominators i.e. for 262,4436 is 2.
Thus, LCM of Fractions is 68115.Finally, LCM of Fractions for 57/262, 2390/4436 is 68115.