Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 63/241, 87/658, 454/675 quickly i.e. 829458 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 63/241, 87/658, 454/675 is 829458.
LCM(63/241, 87/658, 454/675) = 829458
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 63/241,87/658,454/675
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 63,87,454
Least Common Multiple of Numerators i.e. LCM of 63,87,454 is 829458.
GCF of Denominators means GCF of 241,658,675 as per the given fractions.
GCF of 241,658,675 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 63,87,454
3 | 63, 87, 454 |
21, 29, 454 |
∴ So the LCM of the given numbers is 3 x 21 x 29 x 454 = 829458
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 63,87,454 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(63,87,454) = 1
common factors(in case of two or more numbers have common factors) = 3
GCF(63,87,454) x common factors =1 x 3 = 3
LCM(63,87,454) = ( 63 × 87 × 454 ) / 3
LCM(63,87,454) = 2488374 / 3
LCM(63,87,454) = 829458
Lets's calculate GCF of 241,658,675
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 829458/1
Therefore the LCM of Fractions 63/241,87/658,454/675 is 829458
Factors of 241
List of positive integer factors of 241 that divides 241 without a remainder.
1,241
Factors of 658
List of positive integer factors of 658 that divides 658 without a remainder.
1,2,7,14,47,94,329,658
Factors of 675
List of positive integer factors of 675 that divides 675 without a remainder.
1,3,5,9,15,25,27,45,75,135,225,675
Greatest Common Factor
We found the factors 241,658,675 . The biggest common factor number is the GCF number.
So the greatest common factor 241,658,675 is 1.
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 63/241, 87/658, 454/675?
Answer: LCM of Numerators as per given numbers 63/241, 87/658, 454/675 is
LCM of Numerators i.e. for 63,87,454 is 829458
GCF of denominators i.e. for 241,658,675 is 1.
Thus, LCM of Fractions is 829458.Finally, LCM of Fractions for 63/241, 87/658, 454/675 is 829458.