Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 140/439, 3435/1480 quickly i.e. 96180 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 140/439, 3435/1480 is 96180.
LCM(140/439, 3435/1480) = 96180
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 140/439,3435/1480
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 140,3435
Least Common Multiple of Numerators i.e. LCM of 140,3435 is 96180.
GCF of Denominators means GCF of 439,1480 as per the given fractions.
GCF of 439,1480 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 140,3435
5 | 140, 3435 |
28, 687 |
∴ So the LCM of the given numbers is 5 x 28 x 687 = 96180
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 140,3435 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(140,3435) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(140,3435) x common factors =5 x 1 = 5
LCM(140,3435) = ( 140 × 3435 ) / 5
LCM(140,3435) = 480900 / 5
LCM(140,3435) = 96180
Lets's calculate GCF of 439,1480
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 96180/1
Therefore the LCM of Fractions 140/439,3435/1480 is 96180
Factors of 439
List of positive integer factors of 439 that divides 439 without a remainder.
1,439
Factors of 1480
List of positive integer factors of 1480 that divides 1480 without a remainder.
1,2,4,5,8,10,20,37,40,74,148,185,296,370,740,1480
Greatest Common Factor
We found the factors 439,1480 . The biggest common factor number is the GCF number.
So the greatest common factor 439,1480 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 140/439, 3435/1480?
Answer: LCM of Numerators as per given numbers 140/439, 3435/1480 is
LCM of Numerators i.e. for 140,3435 is 96180
GCF of denominators i.e. for 439,1480 is 1.
Thus, LCM of Fractions is 96180.Finally, LCM of Fractions for 140/439, 3435/1480 is 96180.