Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 447/29, 960/1270 quickly i.e. 143040 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 447/29, 960/1270 is 143040.
LCM(447/29, 960/1270) = 143040
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 447/29,960/1270
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 447,960
Least Common Multiple of Numerators i.e. LCM of 447,960 is 143040.
GCF of Denominators means GCF of 29,1270 as per the given fractions.
GCF of 29,1270 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 447,960
3 | 447, 960 |
149, 320 |
∴ So the LCM of the given numbers is 3 x 149 x 320 = 143040
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 447,960 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(447,960) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(447,960) x common factors =3 x 1 = 3
LCM(447,960) = ( 447 × 960 ) / 3
LCM(447,960) = 429120 / 3
LCM(447,960) = 143040
Lets's calculate GCF of 29,1270
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 143040/1
Therefore the LCM of Fractions 447/29,960/1270 is 143040
Factors of 29
List of positive integer factors of 29 that divides 29 without a remainder.
1,29
Factors of 1270
List of positive integer factors of 1270 that divides 1270 without a remainder.
1,2,5,10,127,254,635,1270
Greatest Common Factor
We found the factors 29,1270 . The biggest common factor number is the GCF number.
So the greatest common factor 29,1270 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 447/29, 960/1270?
Answer: LCM of Numerators as per given numbers 447/29, 960/1270 is
LCM of Numerators i.e. for 447,960 is 143040
GCF of denominators i.e. for 29,1270 is 1.
Thus, LCM of Fractions is 143040.Finally, LCM of Fractions for 447/29, 960/1270 is 143040.