Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 93/62, 690/86, 268/566 quickly i.e. 1433130 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 93/62, 690/86, 268/566 is 1433130.
LCM(93/62, 690/86, 268/566) = 1433130
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 93/62,690/86,268/566
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 93,690,268
Least Common Multiple of Numerators i.e. LCM of 93,690,268 is 2866260.
GCF of Denominators means GCF of 62,86,566 as per the given fractions.
GCF of 62,86,566 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 93,690,268
2 | 93, 690, 268 |
3 | 93, 345, 134 |
31, 115, 134 |
∴ So the LCM of the given numbers is 2 x 3 x 31 x 115 x 134 = 2866260
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 93,690,268 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(93,690,268) = 1
common factors(in case of two or more numbers have common factors) = 6
GCF(93,690,268) x common factors =1 x 6 = 6
LCM(93,690,268) = ( 93 × 690 × 268 ) / 6
LCM(93,690,268) = 17197560 / 6
LCM(93,690,268) = 2866260
Lets's calculate GCF of 62,86,566
2 | 62, 86, 566 |
31, 43, 283 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2866260/2
Therefore the LCM of Fractions 93/62,690/86,268/566 is 1433130
Factors of 62
List of positive integer factors of 62 that divides 62 without a remainder.
1,2,31,62
Factors of 86
List of positive integer factors of 86 that divides 86 without a remainder.
1,2,43,86
Factors of 566
List of positive integer factors of 566 that divides 566 without a remainder.
1,2,283,566
Greatest Common Factor
We found the factors 62,86,566 . The biggest common factor number is the GCF number.
So the greatest common factor 62,86,566 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 93/62, 690/86, 268/566?
Answer: LCM of Numerators as per given numbers 93/62, 690/86, 268/566 is
LCM of Numerators i.e. for 93,690,268 is 2866260
GCF of denominators i.e. for 62,86,566 is 2.
Thus, LCM of Fractions is 1433130.Finally, LCM of Fractions for 93/62, 690/86, 268/566 is 1433130.