Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 40/20, 636/86, 653/636 quickly i.e. 2076540 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 40/20, 636/86, 653/636 is 2076540.
LCM(40/20, 636/86, 653/636) = 2076540
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 40/20,636/86,653/636
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 40,636,653
Least Common Multiple of Numerators i.e. LCM of 40,636,653 is 4153080.
GCF of Denominators means GCF of 20,86,636 as per the given fractions.
GCF of 20,86,636 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 40,636,653
2 | 40, 636, 653 |
2 | 20, 318, 653 |
10, 159, 653 |
∴ So the LCM of the given numbers is 2 x 2 x 10 x 159 x 653 = 4153080
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 40,636,653 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(40,636,653) = 1
common factors(in case of two or more numbers have common factors) = 4
GCF(40,636,653) x common factors =1 x 4 = 4
LCM(40,636,653) = ( 40 × 636 × 653 ) / 4
LCM(40,636,653) = 16612320 / 4
LCM(40,636,653) = 4153080
Lets's calculate GCF of 20,86,636
2 | 20, 86, 636 |
10, 43, 318 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4153080/2
Therefore the LCM of Fractions 40/20,636/86,653/636 is 2076540
Factors of 20
List of positive integer factors of 20 that divides 20 without a remainder.
1,2,4,5,10,20
Factors of 86
List of positive integer factors of 86 that divides 86 without a remainder.
1,2,43,86
Factors of 636
List of positive integer factors of 636 that divides 636 without a remainder.
1,2,3,4,6,12,53,106,159,212,318,636
Greatest Common Factor
We found the factors 20,86,636 . The biggest common factor number is the GCF number.
So the greatest common factor 20,86,636 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 40/20, 636/86, 653/636?
Answer: LCM of Numerators as per given numbers 40/20, 636/86, 653/636 is
LCM of Numerators i.e. for 40,636,653 is 4153080
GCF of denominators i.e. for 20,86,636 is 2.
Thus, LCM of Fractions is 2076540.Finally, LCM of Fractions for 40/20, 636/86, 653/636 is 2076540.