Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 328/310, 840/440, 340/163 quickly i.e. 585480 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 328/310, 840/440, 340/163 is 585480.
LCM(328/310, 840/440, 340/163) = 585480
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 328/310,840/440,340/163
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 328,840,340
Least Common Multiple of Numerators i.e. LCM of 328,840,340 is 585480.
GCF of Denominators means GCF of 310,440,163 as per the given fractions.
GCF of 310,440,163 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 328,840,340
2 | 328, 840, 340 |
2 | 164, 420, 170 |
2 | 82, 210, 85 |
5 | 41, 105, 85 |
41, 21, 17 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 5 x 41 x 21 x 17 = 585480
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 328,840,340 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(328,840,340) = 4
common factors(in case of two or more numbers have common factors) = 40
GCF(328,840,340) x common factors =4 x 40 = 160
LCM(328,840,340) = ( 328 × 840 × 340 ) / 160
LCM(328,840,340) = 93676800 / 160
LCM(328,840,340) = 585480
Lets's calculate GCF of 310,440,163
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 585480/1
Therefore the LCM of Fractions 328/310,840/440,340/163 is 585480
Factors of 310
List of positive integer factors of 310 that divides 310 without a remainder.
1,2,5,10,31,62,155,310
Factors of 440
List of positive integer factors of 440 that divides 440 without a remainder.
1,2,4,5,8,10,11,20,22,40,44,55,88,110,220,440
Factors of 163
List of positive integer factors of 163 that divides 163 without a remainder.
1,163
Greatest Common Factor
We found the factors 310,440,163 . The biggest common factor number is the GCF number.
So the greatest common factor 310,440,163 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 328/310, 840/440, 340/163?
Answer: LCM of Numerators as per given numbers 328/310, 840/440, 340/163 is
LCM of Numerators i.e. for 328,840,340 is 585480
GCF of denominators i.e. for 310,440,163 is 1.
Thus, LCM of Fractions is 585480.Finally, LCM of Fractions for 328/310, 840/440, 340/163 is 585480.