Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 93/15, 88/83, 85/34, 65/668 quickly i.e. 9043320 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 93/15, 88/83, 85/34, 65/668 is 9043320.
LCM(93/15, 88/83, 85/34, 65/668) = 9043320
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 93/15,88/83,85/34,65/668
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 93,88,85,65
Least Common Multiple of Numerators i.e. LCM of 93,88,85,65 is 9043320.
GCF of Denominators means GCF of 15,83,34,668 as per the given fractions.
GCF of 15,83,34,668 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 93,88,85,65
5 | 93, 88, 85, 65 |
93, 88, 17, 13 |
∴ So the LCM of the given numbers is 5 x 93 x 88 x 17 x 13 = 9043320
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 93,88,85,65 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(93,88,85,65) = 1
common factors(in case of two or more numbers have common factors) = 5
GCF(93,88,85,65) x common factors =1 x 5 = 5
LCM(93,88,85,65) = ( 93 × 88 × 85 × 65 ) / 5
LCM(93,88,85,65) = 45216600 / 5
LCM(93,88,85,65) = 9043320
Lets's calculate GCF of 15,83,34,668
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 9043320/1
Therefore the LCM of Fractions 93/15,88/83,85/34,65/668 is 9043320
Factors of 15
List of positive integer factors of 15 that divides 15 without a remainder.
1,3,5,15
Factors of 83
List of positive integer factors of 83 that divides 83 without a remainder.
1,83
Factors of 34
List of positive integer factors of 34 that divides 34 without a remainder.
1,2,17,34
Factors of 668
List of positive integer factors of 668 that divides 668 without a remainder.
1,2,4,167,334,668
Greatest Common Factor
We found the factors 15,83,34,668 . The biggest common factor number is the GCF number.
So the greatest common factor 15,83,34,668 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 93/15, 88/83, 85/34, 65/668?
Answer: LCM of Numerators as per given numbers 93/15, 88/83, 85/34, 65/668 is
LCM of Numerators i.e. for 93,88,85,65 is 9043320
GCF of denominators i.e. for 15,83,34,668 is 1.
Thus, LCM of Fractions is 9043320.Finally, LCM of Fractions for 93/15, 88/83, 85/34, 65/668 is 9043320.