Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 2828/688, 9766/2881 quickly i.e. 13809124/43 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 2828/688, 9766/2881 is 13809124/43.
LCM(2828/688, 9766/2881) = 13809124/43
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 2828/688,9766/2881
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 2828,9766
Least Common Multiple of Numerators i.e. LCM of 2828,9766 is 13809124.
GCF of Denominators means GCF of 688,2881 as per the given fractions.
GCF of 688,2881 is 43 as it is the largest common factor for these numbers.
Lets's calculate LCM of 2828,9766
2 | 2828, 9766 |
1414, 4883 |
∴ So the LCM of the given numbers is 2 x 1414 x 4883 = 13809124
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 2828,9766 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(2828,9766) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(2828,9766) x common factors =2 x 1 = 2
LCM(2828,9766) = ( 2828 × 9766 ) / 2
LCM(2828,9766) = 27618248 / 2
LCM(2828,9766) = 13809124
Lets's calculate GCF of 688,2881
43 | 688, 2881 |
16, 67 |
∴ So the GCF of the given numbers is 43 = 43
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 13809124/43
Therefore the LCM of Fractions 2828/688,9766/2881 is 13809124/43
Factors of 688
List of positive integer factors of 688 that divides 688 without a remainder.
1,2,4,8,16,43,86,172,344,688
Factors of 2881
List of positive integer factors of 2881 that divides 2881 without a remainder.
1,43,67,2881
Greatest Common Factor
We found the factors 688,2881 . The biggest common factor number is the GCF number.
So the greatest common factor 688,2881 is 43.
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 2828/688, 9766/2881?
Answer: LCM of Numerators as per given numbers 2828/688, 9766/2881 is
LCM of Numerators i.e. for 2828,9766 is 13809124
GCF of denominators i.e. for 688,2881 is 43.
Thus, LCM of Fractions is 13809124/43.Finally, LCM of Fractions for 2828/688, 9766/2881 is 13809124/43.