Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 5/98, 59/390, 92/729 quickly i.e. 27140 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 5/98, 59/390, 92/729 is 27140.
LCM(5/98, 59/390, 92/729) = 27140
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 5/98,59/390,92/729
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 5,59,92
Least Common Multiple of Numerators i.e. LCM of 5,59,92 is 27140.
GCF of Denominators means GCF of 98,390,729 as per the given fractions.
GCF of 98,390,729 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 5,59,92
Given numbers has no common factors except 1. So, there LCM is their product i.e 27140
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 5,59,92 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(5,59,92) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(5,59,92) x common factors =1 x 1 = 1
LCM(5,59,92) = ( 5 × 59 × 92 ) / 1
LCM(5,59,92) = 27140 / 1
LCM(5,59,92) = 27140
Lets's calculate GCF of 98,390,729
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 27140/1
Therefore the LCM of Fractions 5/98,59/390,92/729 is 27140
Factors of 98
List of positive integer factors of 98 that divides 98 without a remainder.
1,2,7,14,49,98
Factors of 390
List of positive integer factors of 390 that divides 390 without a remainder.
1,2,3,5,6,10,13,15,26,30,39,65,78,130,195,390
Factors of 729
List of positive integer factors of 729 that divides 729 without a remainder.
1,3,9,27,81,243,729
Greatest Common Factor
We found the factors 98,390,729 . The biggest common factor number is the GCF number.
So the greatest common factor 98,390,729 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 5/98, 59/390, 92/729?
Answer: LCM of Numerators as per given numbers 5/98, 59/390, 92/729 is
LCM of Numerators i.e. for 5,59,92 is 27140
GCF of denominators i.e. for 98,390,729 is 1.
Thus, LCM of Fractions is 27140.Finally, LCM of Fractions for 5/98, 59/390, 92/729 is 27140.