Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 250/72, 839/35, 434/360 quickly i.e. 45515750 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 250/72, 839/35, 434/360 is 45515750.
LCM(250/72, 839/35, 434/360) = 45515750
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 250/72,839/35,434/360
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 250,839,434
Least Common Multiple of Numerators i.e. LCM of 250,839,434 is 45515750.
GCF of Denominators means GCF of 72,35,360 as per the given fractions.
GCF of 72,35,360 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 250,839,434
2 | 250, 839, 434 |
125, 839, 217 |
∴ So the LCM of the given numbers is 2 x 125 x 839 x 217 = 45515750
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 250,839,434 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(250,839,434) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(250,839,434) x common factors =1 x 2 = 2
LCM(250,839,434) = ( 250 × 839 × 434 ) / 2
LCM(250,839,434) = 91031500 / 2
LCM(250,839,434) = 45515750
Lets's calculate GCF of 72,35,360
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 45515750/1
Therefore the LCM of Fractions 250/72,839/35,434/360 is 45515750
Factors of 72
List of positive integer factors of 72 that divides 72 without a remainder.
1,2,3,4,6,8,9,12,18,24,36,72
Factors of 35
List of positive integer factors of 35 that divides 35 without a remainder.
1,5,7,35
Factors of 360
List of positive integer factors of 360 that divides 360 without a remainder.
1,2,3,4,5,6,8,9,10,12,15,18,20,24,30,36,40,45,60,72,90,120,180,360
Greatest Common Factor
We found the factors 72,35,360 . The biggest common factor number is the GCF number.
So the greatest common factor 72,35,360 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 250/72, 839/35, 434/360?
Answer: LCM of Numerators as per given numbers 250/72, 839/35, 434/360 is
LCM of Numerators i.e. for 250,839,434 is 45515750
GCF of denominators i.e. for 72,35,360 is 1.
Thus, LCM of Fractions is 45515750.Finally, LCM of Fractions for 250/72, 839/35, 434/360 is 45515750.