Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 180/434, 7281/7002 quickly i.e. 72810 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 180/434, 7281/7002 is 72810.
LCM(180/434, 7281/7002) = 72810
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 180/434,7281/7002
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 180,7281
Least Common Multiple of Numerators i.e. LCM of 180,7281 is 145620.
GCF of Denominators means GCF of 434,7002 as per the given fractions.
GCF of 434,7002 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 180,7281
3 | 180, 7281 |
3 | 60, 2427 |
20, 809 |
∴ So the LCM of the given numbers is 3 x 3 x 20 x 809 = 145620
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 180,7281 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(180,7281) = 9
common factors(in case of two or more numbers have common factors) = 1
GCF(180,7281) x common factors =9 x 1 = 9
LCM(180,7281) = ( 180 × 7281 ) / 9
LCM(180,7281) = 1310580 / 9
LCM(180,7281) = 145620
Lets's calculate GCF of 434,7002
2 | 434, 7002 |
217, 3501 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 145620/2
Therefore the LCM of Fractions 180/434,7281/7002 is 72810
Factors of 434
List of positive integer factors of 434 that divides 434 without a remainder.
1,2,7,14,31,62,217,434
Factors of 7002
List of positive integer factors of 7002 that divides 7002 without a remainder.
1,2,3,6,9,18,389,778,1167,2334,3501,7002
Greatest Common Factor
We found the factors 434,7002 . The biggest common factor number is the GCF number.
So the greatest common factor 434,7002 is 2.
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 180/434, 7281/7002?
Answer: LCM of Numerators as per given numbers 180/434, 7281/7002 is
LCM of Numerators i.e. for 180,7281 is 145620
GCF of denominators i.e. for 434,7002 is 2.
Thus, LCM of Fractions is 72810.Finally, LCM of Fractions for 180/434, 7281/7002 is 72810.