Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 340/34, 486/19, 689/480 quickly i.e. 56925180 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 340/34, 486/19, 689/480 is 56925180.
LCM(340/34, 486/19, 689/480) = 56925180
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 340/34,486/19,689/480
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 340,486,689
Least Common Multiple of Numerators i.e. LCM of 340,486,689 is 56925180.
GCF of Denominators means GCF of 34,19,480 as per the given fractions.
GCF of 34,19,480 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 340,486,689
2 | 340, 486, 689 |
170, 243, 689 |
∴ So the LCM of the given numbers is 2 x 170 x 243 x 689 = 56925180
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 340,486,689 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(340,486,689) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(340,486,689) x common factors =1 x 2 = 2
LCM(340,486,689) = ( 340 × 486 × 689 ) / 2
LCM(340,486,689) = 113850360 / 2
LCM(340,486,689) = 56925180
Lets's calculate GCF of 34,19,480
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 56925180/1
Therefore the LCM of Fractions 340/34,486/19,689/480 is 56925180
Factors of 34
List of positive integer factors of 34 that divides 34 without a remainder.
1,2,17,34
Factors of 19
List of positive integer factors of 19 that divides 19 without a remainder.
1,19
Factors of 480
List of positive integer factors of 480 that divides 480 without a remainder.
1,2,3,4,5,6,8,10,12,15,16,20,24,30,32,40,48,60,80,96,120,160,240,480
Greatest Common Factor
We found the factors 34,19,480 . The biggest common factor number is the GCF number.
So the greatest common factor 34,19,480 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 340/34, 486/19, 689/480?
Answer: LCM of Numerators as per given numbers 340/34, 486/19, 689/480 is
LCM of Numerators i.e. for 340,486,689 is 56925180
GCF of denominators i.e. for 34,19,480 is 1.
Thus, LCM of Fractions is 56925180.Finally, LCM of Fractions for 340/34, 486/19, 689/480 is 56925180.