Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 1480/727, 8436/9685 quickly i.e. 84360 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 1480/727, 8436/9685 is 84360.
LCM(1480/727, 8436/9685) = 84360
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 1480/727,8436/9685
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 1480,8436
Least Common Multiple of Numerators i.e. LCM of 1480,8436 is 84360.
GCF of Denominators means GCF of 727,9685 as per the given fractions.
GCF of 727,9685 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 1480,8436
2 | 1480, 8436 |
2 | 740, 4218 |
37 | 370, 2109 |
10, 57 |
∴ So the LCM of the given numbers is 2 x 2 x 37 x 10 x 57 = 84360
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 1480,8436 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(1480,8436) = 148
common factors(in case of two or more numbers have common factors) = 1
GCF(1480,8436) x common factors =148 x 1 = 148
LCM(1480,8436) = ( 1480 × 8436 ) / 148
LCM(1480,8436) = 12485280 / 148
LCM(1480,8436) = 84360
Lets's calculate GCF of 727,9685
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 84360/1
Therefore the LCM of Fractions 1480/727,8436/9685 is 84360
Factors of 727
List of positive integer factors of 727 that divides 727 without a remainder.
1,727
Factors of 9685
List of positive integer factors of 9685 that divides 9685 without a remainder.
1,5,13,65,149,745,1937,9685
Greatest Common Factor
We found the factors 727,9685 . The biggest common factor number is the GCF number.
So the greatest common factor 727,9685 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 1480/727, 8436/9685?
Answer: LCM of Numerators as per given numbers 1480/727, 8436/9685 is
LCM of Numerators i.e. for 1480,8436 is 84360
GCF of denominators i.e. for 727,9685 is 1.
Thus, LCM of Fractions is 84360.Finally, LCM of Fractions for 1480/727, 8436/9685 is 84360.