Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 88/231, 100/864, 978/264 quickly i.e. 358600 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 88/231, 100/864, 978/264 is 358600.
LCM(88/231, 100/864, 978/264) = 358600
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 88/231,100/864,978/264
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 88,100,978
Least Common Multiple of Numerators i.e. LCM of 88,100,978 is 1075800.
GCF of Denominators means GCF of 231,864,264 as per the given fractions.
GCF of 231,864,264 is 3 as it is the largest common factor for these numbers.
Lets's calculate LCM of 88,100,978
2 | 88, 100, 978 |
2 | 44, 50, 489 |
22, 25, 489 |
∴ So the LCM of the given numbers is 2 x 2 x 22 x 25 x 489 = 1075800
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 88,100,978 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(88,100,978) = 2
common factors(in case of two or more numbers have common factors) = 4
GCF(88,100,978) x common factors =2 x 4 = 8
LCM(88,100,978) = ( 88 × 100 × 978 ) / 8
LCM(88,100,978) = 8606400 / 8
LCM(88,100,978) = 1075800
Lets's calculate GCF of 231,864,264
3 | 231, 864, 264 |
77, 288, 88 |
∴ So the GCF of the given numbers is 3 = 3
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1075800/3
Therefore the LCM of Fractions 88/231,100/864,978/264 is 358600
Factors of 231
List of positive integer factors of 231 that divides 231 without a remainder.
1,3,7,11,21,33,77,231
Factors of 864
List of positive integer factors of 864 that divides 864 without a remainder.
1,2,3,4,6,8,9,12,16,18,24,27,32,36,48,54,72,96,108,144,216,288,432,864
Factors of 264
List of positive integer factors of 264 that divides 264 without a remainder.
1,2,3,4,6,8,11,12,22,24,33,44,66,88,132,264
Greatest Common Factor
We found the factors 231,864,264 . The biggest common factor number is the GCF number.
So the greatest common factor 231,864,264 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 88/231, 100/864, 978/264?
Answer: LCM of Numerators as per given numbers 88/231, 100/864, 978/264 is
LCM of Numerators i.e. for 88,100,978 is 1075800
GCF of denominators i.e. for 231,864,264 is 3.
Thus, LCM of Fractions is 358600.Finally, LCM of Fractions for 88/231, 100/864, 978/264 is 358600.