Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 2720/836, 3006/835 quickly i.e. 4088160 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 2720/836, 3006/835 is 4088160.
LCM(2720/836, 3006/835) = 4088160
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 2720/836,3006/835
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 2720,3006
Least Common Multiple of Numerators i.e. LCM of 2720,3006 is 4088160.
GCF of Denominators means GCF of 836,835 as per the given fractions.
GCF of 836,835 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 2720,3006
2 | 2720, 3006 |
1360, 1503 |
∴ So the LCM of the given numbers is 2 x 1360 x 1503 = 4088160
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 2720,3006 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(2720,3006) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(2720,3006) x common factors =2 x 1 = 2
LCM(2720,3006) = ( 2720 × 3006 ) / 2
LCM(2720,3006) = 8176320 / 2
LCM(2720,3006) = 4088160
Lets's calculate GCF of 836,835
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4088160/1
Therefore the LCM of Fractions 2720/836,3006/835 is 4088160
Factors of 836
List of positive integer factors of 836 that divides 836 without a remainder.
1,2,4,11,19,22,38,44,76,209,418,836
Factors of 835
List of positive integer factors of 835 that divides 835 without a remainder.
1,5,167,835
Greatest Common Factor
We found the factors 836,835 . The biggest common factor number is the GCF number.
So the greatest common factor 836,835 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 2720/836, 3006/835?
Answer: LCM of Numerators as per given numbers 2720/836, 3006/835 is
LCM of Numerators i.e. for 2720,3006 is 4088160
GCF of denominators i.e. for 836,835 is 1.
Thus, LCM of Fractions is 4088160.Finally, LCM of Fractions for 2720/836, 3006/835 is 4088160.