Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 81/79, 86/880, 598/121 quickly i.e. 2082834 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 81/79, 86/880, 598/121 is 2082834.
LCM(81/79, 86/880, 598/121) = 2082834
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 81/79,86/880,598/121
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 81,86,598
Least Common Multiple of Numerators i.e. LCM of 81,86,598 is 2082834.
GCF of Denominators means GCF of 79,880,121 as per the given fractions.
GCF of 79,880,121 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 81,86,598
2 | 81, 86, 598 |
81, 43, 299 |
∴ So the LCM of the given numbers is 2 x 81 x 43 x 299 = 2082834
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 81,86,598 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(81,86,598) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(81,86,598) x common factors =1 x 2 = 2
LCM(81,86,598) = ( 81 × 86 × 598 ) / 2
LCM(81,86,598) = 4165668 / 2
LCM(81,86,598) = 2082834
Lets's calculate GCF of 79,880,121
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2082834/1
Therefore the LCM of Fractions 81/79,86/880,598/121 is 2082834
Factors of 79
List of positive integer factors of 79 that divides 79 without a remainder.
1,79
Factors of 880
List of positive integer factors of 880 that divides 880 without a remainder.
1,2,4,5,8,10,11,16,20,22,40,44,55,80,88,110,176,220,440,880
Factors of 121
List of positive integer factors of 121 that divides 121 without a remainder.
1,11,121
Greatest Common Factor
We found the factors 79,880,121 . The biggest common factor number is the GCF number.
So the greatest common factor 79,880,121 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 81/79, 86/880, 598/121?
Answer: LCM of Numerators as per given numbers 81/79, 86/880, 598/121 is
LCM of Numerators i.e. for 81,86,598 is 2082834
GCF of denominators i.e. for 79,880,121 is 1.
Thus, LCM of Fractions is 2082834.Finally, LCM of Fractions for 81/79, 86/880, 598/121 is 2082834.