Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 69/20, 927/93, 448/645 quickly i.e. 9551808 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 69/20, 927/93, 448/645 is 9551808.
LCM(69/20, 927/93, 448/645) = 9551808
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 69/20,927/93,448/645
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 69,927,448
Least Common Multiple of Numerators i.e. LCM of 69,927,448 is 9551808.
GCF of Denominators means GCF of 20,93,645 as per the given fractions.
GCF of 20,93,645 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 69,927,448
3 | 69, 927, 448 |
23, 309, 448 |
∴ So the LCM of the given numbers is 3 x 23 x 309 x 448 = 9551808
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 69,927,448 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(69,927,448) = 1
common factors(in case of two or more numbers have common factors) = 3
GCF(69,927,448) x common factors =1 x 3 = 3
LCM(69,927,448) = ( 69 × 927 × 448 ) / 3
LCM(69,927,448) = 28655424 / 3
LCM(69,927,448) = 9551808
Lets's calculate GCF of 20,93,645
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 9551808/1
Therefore the LCM of Fractions 69/20,927/93,448/645 is 9551808
Factors of 20
List of positive integer factors of 20 that divides 20 without a remainder.
1,2,4,5,10,20
Factors of 93
List of positive integer factors of 93 that divides 93 without a remainder.
1,3,31,93
Factors of 645
List of positive integer factors of 645 that divides 645 without a remainder.
1,3,5,15,43,129,215,645
Greatest Common Factor
We found the factors 20,93,645 . The biggest common factor number is the GCF number.
So the greatest common factor 20,93,645 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 69/20, 927/93, 448/645?
Answer: LCM of Numerators as per given numbers 69/20, 927/93, 448/645 is
LCM of Numerators i.e. for 69,927,448 is 9551808
GCF of denominators i.e. for 20,93,645 is 1.
Thus, LCM of Fractions is 9551808.Finally, LCM of Fractions for 69/20, 927/93, 448/645 is 9551808.