Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 575/88, 175/27, 756/568 quickly i.e. 434700 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 575/88, 175/27, 756/568 is 434700.
LCM(575/88, 175/27, 756/568) = 434700
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 575/88,175/27,756/568
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 575,175,756
Least Common Multiple of Numerators i.e. LCM of 575,175,756 is 434700.
GCF of Denominators means GCF of 88,27,568 as per the given fractions.
GCF of 88,27,568 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 575,175,756
5 | 575, 175, 756 |
5 | 115, 35, 756 |
7 | 23, 7, 756 |
23, 1, 108 |
∴ So the LCM of the given numbers is 5 x 5 x 7 x 23 x 1 x 108 = 434700
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 575,175,756 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(575,175,756) = 1
common factors(in case of two or more numbers have common factors) = 175
GCF(575,175,756) x common factors =1 x 175 = 175
LCM(575,175,756) = ( 575 × 175 × 756 ) / 175
LCM(575,175,756) = 76072500 / 175
LCM(575,175,756) = 434700
Lets's calculate GCF of 88,27,568
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 434700/1
Therefore the LCM of Fractions 575/88,175/27,756/568 is 434700
Factors of 88
List of positive integer factors of 88 that divides 88 without a remainder.
1,2,4,8,11,22,44,88
Factors of 27
List of positive integer factors of 27 that divides 27 without a remainder.
1,3,9,27
Factors of 568
List of positive integer factors of 568 that divides 568 without a remainder.
1,2,4,8,71,142,284,568
Greatest Common Factor
We found the factors 88,27,568 . The biggest common factor number is the GCF number.
So the greatest common factor 88,27,568 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 575/88, 175/27, 756/568?
Answer: LCM of Numerators as per given numbers 575/88, 175/27, 756/568 is
LCM of Numerators i.e. for 575,175,756 is 434700
GCF of denominators i.e. for 88,27,568 is 1.
Thus, LCM of Fractions is 434700.Finally, LCM of Fractions for 575/88, 175/27, 756/568 is 434700.