Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 2636/934, 6940/164 quickly i.e. 2286730 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 2636/934, 6940/164 is 2286730.
LCM(2636/934, 6940/164) = 2286730
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 2636/934,6940/164
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 2636,6940
Least Common Multiple of Numerators i.e. LCM of 2636,6940 is 4573460.
GCF of Denominators means GCF of 934,164 as per the given fractions.
GCF of 934,164 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 2636,6940
2 | 2636, 6940 |
2 | 1318, 3470 |
659, 1735 |
∴ So the LCM of the given numbers is 2 x 2 x 659 x 1735 = 4573460
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 2636,6940 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(2636,6940) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(2636,6940) x common factors =4 x 1 = 4
LCM(2636,6940) = ( 2636 × 6940 ) / 4
LCM(2636,6940) = 18293840 / 4
LCM(2636,6940) = 4573460
Lets's calculate GCF of 934,164
2 | 934, 164 |
467, 82 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4573460/2
Therefore the LCM of Fractions 2636/934,6940/164 is 2286730
Factors of 934
List of positive integer factors of 934 that divides 934 without a remainder.
1,2,467,934
Factors of 164
List of positive integer factors of 164 that divides 164 without a remainder.
1,2,4,41,82,164
Greatest Common Factor
We found the factors 934,164 . The biggest common factor number is the GCF number.
So the greatest common factor 934,164 is 2.
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 2636/934, 6940/164?
Answer: LCM of Numerators as per given numbers 2636/934, 6940/164 is
LCM of Numerators i.e. for 2636,6940 is 4573460
GCF of denominators i.e. for 934,164 is 2.
Thus, LCM of Fractions is 2286730.Finally, LCM of Fractions for 2636/934, 6940/164 is 2286730.