Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 55/860, 5900/3089 quickly i.e. 64900 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 55/860, 5900/3089 is 64900.
LCM(55/860, 5900/3089) = 64900
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 55/860,5900/3089
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 55,5900
Least Common Multiple of Numerators i.e. LCM of 55,5900 is 64900.
GCF of Denominators means GCF of 860,3089 as per the given fractions.
GCF of 860,3089 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 55,5900
5 | 55, 5900 |
11, 1180 |
∴ So the LCM of the given numbers is 5 x 11 x 1180 = 64900
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 55,5900 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(55,5900) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(55,5900) x common factors =5 x 1 = 5
LCM(55,5900) = ( 55 × 5900 ) / 5
LCM(55,5900) = 324500 / 5
LCM(55,5900) = 64900
Lets's calculate GCF of 860,3089
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 64900/1
Therefore the LCM of Fractions 55/860,5900/3089 is 64900
Factors of 860
List of positive integer factors of 860 that divides 860 without a remainder.
1,2,4,5,10,20,43,86,172,215,430,860
Factors of 3089
List of positive integer factors of 3089 that divides 3089 without a remainder.
1,3089
Greatest Common Factor
We found the factors 860,3089 . The biggest common factor number is the GCF number.
So the greatest common factor 860,3089 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 55/860, 5900/3089?
Answer: LCM of Numerators as per given numbers 55/860, 5900/3089 is
LCM of Numerators i.e. for 55,5900 is 64900
GCF of denominators i.e. for 860,3089 is 1.
Thus, LCM of Fractions is 64900.Finally, LCM of Fractions for 55/860, 5900/3089 is 64900.