Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 88/933, 208/995, 176/999 quickly i.e. 2288 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 88/933, 208/995, 176/999 is 2288.
LCM(88/933, 208/995, 176/999) = 2288
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 88/933,208/995,176/999
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 88,208,176
Least Common Multiple of Numerators i.e. LCM of 88,208,176 is 2288.
GCF of Denominators means GCF of 933,995,999 as per the given fractions.
GCF of 933,995,999 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 88,208,176
2 | 88, 208, 176 |
2 | 44, 104, 88 |
2 | 22, 52, 44 |
2 | 11, 26, 22 |
11 | 11, 13, 11 |
1, 13, 1 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 11 x 1 x 13 x 1 = 2288
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 88,208,176 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(88,208,176) = 8
common factors(in case of two or more numbers have common factors) = 176
GCF(88,208,176) x common factors =8 x 176 = 1408
LCM(88,208,176) = ( 88 × 208 × 176 ) / 1408
LCM(88,208,176) = 3221504 / 1408
LCM(88,208,176) = 2288
Lets's calculate GCF of 933,995,999
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2288/1
Therefore the LCM of Fractions 88/933,208/995,176/999 is 2288
Factors of 933
List of positive integer factors of 933 that divides 933 without a remainder.
1,3,311,933
Factors of 995
List of positive integer factors of 995 that divides 995 without a remainder.
1,5,199,995
Factors of 999
List of positive integer factors of 999 that divides 999 without a remainder.
1,3,9,27,37,111,333,999
Greatest Common Factor
We found the factors 933,995,999 . The biggest common factor number is the GCF number.
So the greatest common factor 933,995,999 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 88/933, 208/995, 176/999?
Answer: LCM of Numerators as per given numbers 88/933, 208/995, 176/999 is
LCM of Numerators i.e. for 88,208,176 is 2288
GCF of denominators i.e. for 933,995,999 is 1.
Thus, LCM of Fractions is 2288.Finally, LCM of Fractions for 88/933, 208/995, 176/999 is 2288.