Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 40/94, 93/84, 17/90, 45/59 quickly i.e. 189720 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 40/94, 93/84, 17/90, 45/59 is 189720.
LCM(40/94, 93/84, 17/90, 45/59) = 189720
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 40/94,93/84,17/90,45/59
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 40,93,17,45
Least Common Multiple of Numerators i.e. LCM of 40,93,17,45 is 189720.
GCF of Denominators means GCF of 94,84,90,59 as per the given fractions.
GCF of 94,84,90,59 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 40,93,17,45
3 | 40, 93, 17, 45 |
5 | 40, 31, 17, 15 |
8, 31, 17, 3 |
∴ So the LCM of the given numbers is 3 x 5 x 8 x 31 x 17 x 3 = 189720
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 40,93,17,45 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(40,93,17,45) = 1
common factors(in case of two or more numbers have common factors) = 15
GCF(40,93,17,45) x common factors =1 x 15 = 15
LCM(40,93,17,45) = ( 40 × 93 × 17 × 45 ) / 15
LCM(40,93,17,45) = 2845800 / 15
LCM(40,93,17,45) = 189720
Lets's calculate GCF of 94,84,90,59
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 189720/1
Therefore the LCM of Fractions 40/94,93/84,17/90,45/59 is 189720
Factors of 94
List of positive integer factors of 94 that divides 94 without a remainder.
1,2,47,94
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 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 59
List of positive integer factors of 59 that divides 59 without a remainder.
1,59
Greatest Common Factor
We found the factors 94,84,90,59 . The biggest common factor number is the GCF number.
So the greatest common factor 94,84,90,59 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 40/94, 93/84, 17/90, 45/59?
Answer: LCM of Numerators as per given numbers 40/94, 93/84, 17/90, 45/59 is
LCM of Numerators i.e. for 40,93,17,45 is 189720
GCF of denominators i.e. for 94,84,90,59 is 1.
Thus, LCM of Fractions is 189720.Finally, LCM of Fractions for 40/94, 93/84, 17/90, 45/59 is 189720.