Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 274/50, 665/2495 quickly i.e. 36442 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 274/50, 665/2495 is 36442.
LCM(274/50, 665/2495) = 36442
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 274/50,665/2495
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 274,665
Least Common Multiple of Numerators i.e. LCM of 274,665 is 182210.
GCF of Denominators means GCF of 50,2495 as per the given fractions.
GCF of 50,2495 is 5 as it is the largest common factor for these numbers.
Lets's calculate LCM of 274,665
Given numbers has no common factors except 1. So, there LCM is their product i.e 182210
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 274,665 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(274,665) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(274,665) x common factors =1 x 1 = 1
LCM(274,665) = ( 274 × 665 ) / 1
LCM(274,665) = 182210 / 1
LCM(274,665) = 182210
Lets's calculate GCF of 50,2495
5 | 50, 2495 |
10, 499 |
∴ So the GCF of the given numbers is 5 = 5
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 182210/5
Therefore the LCM of Fractions 274/50,665/2495 is 36442
Factors of 50
List of positive integer factors of 50 that divides 50 without a remainder.
1,2,5,10,25,50
Factors of 2495
List of positive integer factors of 2495 that divides 2495 without a remainder.
1,5,499,2495
Greatest Common Factor
We found the factors 50,2495 . The biggest common factor number is the GCF number.
So the greatest common factor 50,2495 is 5.
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 274/50, 665/2495?
Answer: LCM of Numerators as per given numbers 274/50, 665/2495 is
LCM of Numerators i.e. for 274,665 is 182210
GCF of denominators i.e. for 50,2495 is 5.
Thus, LCM of Fractions is 36442.Finally, LCM of Fractions for 274/50, 665/2495 is 36442.