Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 88/909, 732/462, 228/861 quickly i.e. 101992 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 88/909, 732/462, 228/861 is 101992.
LCM(88/909, 732/462, 228/861) = 101992
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 88/909,732/462,228/861
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 88,732,228
Least Common Multiple of Numerators i.e. LCM of 88,732,228 is 305976.
GCF of Denominators means GCF of 909,462,861 as per the given fractions.
GCF of 909,462,861 is 3 as it is the largest common factor for these numbers.
Lets's calculate LCM of 88,732,228
2 | 88, 732, 228 |
2 | 44, 366, 114 |
3 | 22, 183, 57 |
22, 61, 19 |
∴ So the LCM of the given numbers is 2 x 2 x 3 x 22 x 61 x 19 = 305976
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 88,732,228 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(88,732,228) = 4
common factors(in case of two or more numbers have common factors) = 12
GCF(88,732,228) x common factors =4 x 12 = 48
LCM(88,732,228) = ( 88 × 732 × 228 ) / 48
LCM(88,732,228) = 14686848 / 48
LCM(88,732,228) = 305976
Lets's calculate GCF of 909,462,861
3 | 909, 462, 861 |
303, 154, 287 |
∴ So the GCF of the given numbers is 3 = 3
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 305976/3
Therefore the LCM of Fractions 88/909,732/462,228/861 is 101992
Factors of 909
List of positive integer factors of 909 that divides 909 without a remainder.
1,3,9,101,303,909
Factors of 462
List of positive integer factors of 462 that divides 462 without a remainder.
1,2,3,6,7,11,14,21,22,33,42,66,77,154,231,462
Factors of 861
List of positive integer factors of 861 that divides 861 without a remainder.
1,3,7,21,41,123,287,861
Greatest Common Factor
We found the factors 909,462,861 . The biggest common factor number is the GCF number.
So the greatest common factor 909,462,861 is 3.
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 88/909, 732/462, 228/861?
Answer: LCM of Numerators as per given numbers 88/909, 732/462, 228/861 is
LCM of Numerators i.e. for 88,732,228 is 305976
GCF of denominators i.e. for 909,462,861 is 3.
Thus, LCM of Fractions is 101992.Finally, LCM of Fractions for 88/909, 732/462, 228/861 is 101992.