Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 26/98, 405/81, 342/284 quickly i.e. 200070 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 26/98, 405/81, 342/284 is 200070.
LCM(26/98, 405/81, 342/284) = 200070
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 26/98,405/81,342/284
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 26,405,342
Least Common Multiple of Numerators i.e. LCM of 26,405,342 is 200070.
GCF of Denominators means GCF of 98,81,284 as per the given fractions.
GCF of 98,81,284 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 26,405,342
2 | 26, 405, 342 |
3 | 13, 405, 171 |
3 | 13, 135, 57 |
13, 45, 19 |
∴ So the LCM of the given numbers is 2 x 3 x 3 x 13 x 45 x 19 = 200070
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 26,405,342 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(26,405,342) = 1
common factors(in case of two or more numbers have common factors) = 18
GCF(26,405,342) x common factors =1 x 18 = 18
LCM(26,405,342) = ( 26 × 405 × 342 ) / 18
LCM(26,405,342) = 3601260 / 18
LCM(26,405,342) = 200070
Lets's calculate GCF of 98,81,284
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 200070/1
Therefore the LCM of Fractions 26/98,405/81,342/284 is 200070
Factors of 98
List of positive integer factors of 98 that divides 98 without a remainder.
1,2,7,14,49,98
Factors of 81
List of positive integer factors of 81 that divides 81 without a remainder.
1,3,9,27,81
Factors of 284
List of positive integer factors of 284 that divides 284 without a remainder.
1,2,4,71,142,284
Greatest Common Factor
We found the factors 98,81,284 . The biggest common factor number is the GCF number.
So the greatest common factor 98,81,284 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 26/98, 405/81, 342/284?
Answer: LCM of Numerators as per given numbers 26/98, 405/81, 342/284 is
LCM of Numerators i.e. for 26,405,342 is 200070
GCF of denominators i.e. for 98,81,284 is 1.
Thus, LCM of Fractions is 200070.Finally, LCM of Fractions for 26/98, 405/81, 342/284 is 200070.