Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 23/98, 580/68, 918/586 quickly i.e. 3061530 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 23/98, 580/68, 918/586 is 3061530.
LCM(23/98, 580/68, 918/586) = 3061530
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 23/98,580/68,918/586
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 23,580,918
Least Common Multiple of Numerators i.e. LCM of 23,580,918 is 6123060.
GCF of Denominators means GCF of 98,68,586 as per the given fractions.
GCF of 98,68,586 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 23,580,918
2 | 23, 580, 918 |
23, 290, 459 |
∴ So the LCM of the given numbers is 2 x 23 x 290 x 459 = 6123060
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 23,580,918 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(23,580,918) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(23,580,918) x common factors =1 x 2 = 2
LCM(23,580,918) = ( 23 × 580 × 918 ) / 2
LCM(23,580,918) = 12246120 / 2
LCM(23,580,918) = 6123060
Lets's calculate GCF of 98,68,586
2 | 98, 68, 586 |
49, 34, 293 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 6123060/2
Therefore the LCM of Fractions 23/98,580/68,918/586 is 3061530
Factors of 98
List of positive integer factors of 98 that divides 98 without a remainder.
1,2,7,14,49,98
Factors of 68
List of positive integer factors of 68 that divides 68 without a remainder.
1,2,4,17,34,68
Factors of 586
List of positive integer factors of 586 that divides 586 without a remainder.
1,2,293,586
Greatest Common Factor
We found the factors 98,68,586 . The biggest common factor number is the GCF number.
So the greatest common factor 98,68,586 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 23/98, 580/68, 918/586?
Answer: LCM of Numerators as per given numbers 23/98, 580/68, 918/586 is
LCM of Numerators i.e. for 23,580,918 is 6123060
GCF of denominators i.e. for 98,68,586 is 2.
Thus, LCM of Fractions is 3061530.Finally, LCM of Fractions for 23/98, 580/68, 918/586 is 3061530.