Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 79/90, 566/94, 330/338 quickly i.e. 3688905 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 79/90, 566/94, 330/338 is 3688905.
LCM(79/90, 566/94, 330/338) = 3688905
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 79/90,566/94,330/338
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 79,566,330
Least Common Multiple of Numerators i.e. LCM of 79,566,330 is 7377810.
GCF of Denominators means GCF of 90,94,338 as per the given fractions.
GCF of 90,94,338 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 79,566,330
2 | 79, 566, 330 |
79, 283, 165 |
∴ So the LCM of the given numbers is 2 x 79 x 283 x 165 = 7377810
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 79,566,330 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(79,566,330) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(79,566,330) x common factors =1 x 2 = 2
LCM(79,566,330) = ( 79 × 566 × 330 ) / 2
LCM(79,566,330) = 14755620 / 2
LCM(79,566,330) = 7377810
Lets's calculate GCF of 90,94,338
2 | 90, 94, 338 |
45, 47, 169 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 7377810/2
Therefore the LCM of Fractions 79/90,566/94,330/338 is 3688905
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 94
List of positive integer factors of 94 that divides 94 without a remainder.
1,2,47,94
Factors of 338
List of positive integer factors of 338 that divides 338 without a remainder.
1,2,13,26,169,338
Greatest Common Factor
We found the factors 90,94,338 . The biggest common factor number is the GCF number.
So the greatest common factor 90,94,338 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 79/90, 566/94, 330/338?
Answer: LCM of Numerators as per given numbers 79/90, 566/94, 330/338 is
LCM of Numerators i.e. for 79,566,330 is 7377810
GCF of denominators i.e. for 90,94,338 is 2.
Thus, LCM of Fractions is 3688905.Finally, LCM of Fractions for 79/90, 566/94, 330/338 is 3688905.