Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 990/89, 187/67, 362/742 quickly i.e. 3046230 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 990/89, 187/67, 362/742 is 3046230.
LCM(990/89, 187/67, 362/742) = 3046230
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 990/89,187/67,362/742
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 990,187,362
Least Common Multiple of Numerators i.e. LCM of 990,187,362 is 3046230.
GCF of Denominators means GCF of 89,67,742 as per the given fractions.
GCF of 89,67,742 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 990,187,362
2 | 990, 187, 362 |
11 | 495, 187, 181 |
45, 17, 181 |
∴ So the LCM of the given numbers is 2 x 11 x 45 x 17 x 181 = 3046230
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 990,187,362 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(990,187,362) = 1
common factors(in case of two or more numbers have common factors) = 22
GCF(990,187,362) x common factors =1 x 22 = 22
LCM(990,187,362) = ( 990 × 187 × 362 ) / 22
LCM(990,187,362) = 67017060 / 22
LCM(990,187,362) = 3046230
Lets's calculate GCF of 89,67,742
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3046230/1
Therefore the LCM of Fractions 990/89,187/67,362/742 is 3046230
Factors of 89
List of positive integer factors of 89 that divides 89 without a remainder.
1,89
Factors of 67
List of positive integer factors of 67 that divides 67 without a remainder.
1,67
Factors of 742
List of positive integer factors of 742 that divides 742 without a remainder.
1,2,7,14,53,106,371,742
Greatest Common Factor
We found the factors 89,67,742 . The biggest common factor number is the GCF number.
So the greatest common factor 89,67,742 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 990/89, 187/67, 362/742?
Answer: LCM of Numerators as per given numbers 990/89, 187/67, 362/742 is
LCM of Numerators i.e. for 990,187,362 is 3046230
GCF of denominators i.e. for 89,67,742 is 1.
Thus, LCM of Fractions is 3046230.Finally, LCM of Fractions for 990/89, 187/67, 362/742 is 3046230.