Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 186/454, 1465/8558 quickly i.e. 136245 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 186/454, 1465/8558 is 136245.
LCM(186/454, 1465/8558) = 136245
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 186/454,1465/8558
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 186,1465
Least Common Multiple of Numerators i.e. LCM of 186,1465 is 272490.
GCF of Denominators means GCF of 454,8558 as per the given fractions.
GCF of 454,8558 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 186,1465
Given numbers has no common factors except 1. So, there LCM is their product i.e 272490
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 186,1465 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(186,1465) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(186,1465) x common factors =1 x 1 = 1
LCM(186,1465) = ( 186 × 1465 ) / 1
LCM(186,1465) = 272490 / 1
LCM(186,1465) = 272490
Lets's calculate GCF of 454,8558
2 | 454, 8558 |
227, 4279 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 272490/2
Therefore the LCM of Fractions 186/454,1465/8558 is 136245
Factors of 454
List of positive integer factors of 454 that divides 454 without a remainder.
1,2,227,454
Factors of 8558
List of positive integer factors of 8558 that divides 8558 without a remainder.
1,2,11,22,389,778,4279,8558
Greatest Common Factor
We found the factors 454,8558 . The biggest common factor number is the GCF number.
So the greatest common factor 454,8558 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 186/454, 1465/8558?
Answer: LCM of Numerators as per given numbers 186/454, 1465/8558 is
LCM of Numerators i.e. for 186,1465 is 272490
GCF of denominators i.e. for 454,8558 is 2.
Thus, LCM of Fractions is 136245.Finally, LCM of Fractions for 186/454, 1465/8558 is 136245.