Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 160/58, 678/2889 quickly i.e. 54240 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 160/58, 678/2889 is 54240.
LCM(160/58, 678/2889) = 54240
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 160/58,678/2889
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 160,678
Least Common Multiple of Numerators i.e. LCM of 160,678 is 54240.
GCF of Denominators means GCF of 58,2889 as per the given fractions.
GCF of 58,2889 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 160,678
2 | 160, 678 |
80, 339 |
∴ So the LCM of the given numbers is 2 x 80 x 339 = 54240
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 160,678 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(160,678) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(160,678) x common factors =2 x 1 = 2
LCM(160,678) = ( 160 × 678 ) / 2
LCM(160,678) = 108480 / 2
LCM(160,678) = 54240
Lets's calculate GCF of 58,2889
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 54240/1
Therefore the LCM of Fractions 160/58,678/2889 is 54240
Factors of 58
List of positive integer factors of 58 that divides 58 without a remainder.
1,2,29,58
Factors of 2889
List of positive integer factors of 2889 that divides 2889 without a remainder.
1,3,9,27,107,321,963,2889
Greatest Common Factor
We found the factors 58,2889 . The biggest common factor number is the GCF number.
So the greatest common factor 58,2889 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 160/58, 678/2889?
Answer: LCM of Numerators as per given numbers 160/58, 678/2889 is
LCM of Numerators i.e. for 160,678 is 54240
GCF of denominators i.e. for 58,2889 is 1.
Thus, LCM of Fractions is 54240.Finally, LCM of Fractions for 160/58, 678/2889 is 54240.