Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 63/90, 652/15, 815/454 quickly i.e. 205380 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 63/90, 652/15, 815/454 is 205380.
LCM(63/90, 652/15, 815/454) = 205380
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 63/90,652/15,815/454
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 63,652,815
Least Common Multiple of Numerators i.e. LCM of 63,652,815 is 205380.
GCF of Denominators means GCF of 90,15,454 as per the given fractions.
GCF of 90,15,454 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 63,652,815
163 | 63, 652, 815 |
63, 4, 5 |
∴ So the LCM of the given numbers is 163 x 63 x 4 x 5 = 205380
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 63,652,815 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(63,652,815) = 1
common factors(in case of two or more numbers have common factors) = 163
GCF(63,652,815) x common factors =1 x 163 = 163
LCM(63,652,815) = ( 63 × 652 × 815 ) / 163
LCM(63,652,815) = 33476940 / 163
LCM(63,652,815) = 205380
Lets's calculate GCF of 90,15,454
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 205380/1
Therefore the LCM of Fractions 63/90,652/15,815/454 is 205380
Factors of 90
List of positive integer factors of 90 that divides 90 without a remainder.
1,2,3,5,6,9,10,15,18,30,45,90
Factors of 15
List of positive integer factors of 15 that divides 15 without a remainder.
1,3,5,15
Factors of 454
List of positive integer factors of 454 that divides 454 without a remainder.
1,2,227,454
Greatest Common Factor
We found the factors 90,15,454 . The biggest common factor number is the GCF number.
So the greatest common factor 90,15,454 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 63/90, 652/15, 815/454?
Answer: LCM of Numerators as per given numbers 63/90, 652/15, 815/454 is
LCM of Numerators i.e. for 63,652,815 is 205380
GCF of denominators i.e. for 90,15,454 is 1.
Thus, LCM of Fractions is 205380.Finally, LCM of Fractions for 63/90, 652/15, 815/454 is 205380.