Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 618/88, 450/84, 287/58 quickly i.e. 6651225 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 618/88, 450/84, 287/58 is 6651225.
LCM(618/88, 450/84, 287/58) = 6651225
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 618/88,450/84,287/58
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 618,450,287
Least Common Multiple of Numerators i.e. LCM of 618,450,287 is 13302450.
GCF of Denominators means GCF of 88,84,58 as per the given fractions.
GCF of 88,84,58 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 618,450,287
2 | 618, 450, 287 |
3 | 309, 225, 287 |
103, 75, 287 |
∴ So the LCM of the given numbers is 2 x 3 x 103 x 75 x 287 = 13302450
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 618,450,287 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(618,450,287) = 1
common factors(in case of two or more numbers have common factors) = 6
GCF(618,450,287) x common factors =1 x 6 = 6
LCM(618,450,287) = ( 618 × 450 × 287 ) / 6
LCM(618,450,287) = 79814700 / 6
LCM(618,450,287) = 13302450
Lets's calculate GCF of 88,84,58
2 | 88, 84, 58 |
44, 42, 29 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 13302450/2
Therefore the LCM of Fractions 618/88,450/84,287/58 is 6651225
Factors of 88
List of positive integer factors of 88 that divides 88 without a remainder.
1,2,4,8,11,22,44,88
Factors of 84
List of positive integer factors of 84 that divides 84 without a remainder.
1,2,3,4,6,7,12,14,21,28,42,84
Factors of 58
List of positive integer factors of 58 that divides 58 without a remainder.
1,2,29,58
Greatest Common Factor
We found the factors 88,84,58 . The biggest common factor number is the GCF number.
So the greatest common factor 88,84,58 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 618/88, 450/84, 287/58?
Answer: LCM of Numerators as per given numbers 618/88, 450/84, 287/58 is
LCM of Numerators i.e. for 618,450,287 is 13302450
GCF of denominators i.e. for 88,84,58 is 2.
Thus, LCM of Fractions is 6651225.Finally, LCM of Fractions for 618/88, 450/84, 287/58 is 6651225.