Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 57/655, 34/855, 552/154 quickly i.e. 178296 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 57/655, 34/855, 552/154 is 178296.
LCM(57/655, 34/855, 552/154) = 178296
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 57/655,34/855,552/154
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 57,34,552
Least Common Multiple of Numerators i.e. LCM of 57,34,552 is 178296.
GCF of Denominators means GCF of 655,855,154 as per the given fractions.
GCF of 655,855,154 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 57,34,552
2 | 57, 34, 552 |
3 | 57, 17, 276 |
19, 17, 92 |
∴ So the LCM of the given numbers is 2 x 3 x 19 x 17 x 92 = 178296
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 57,34,552 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(57,34,552) = 1
common factors(in case of two or more numbers have common factors) = 6
GCF(57,34,552) x common factors =1 x 6 = 6
LCM(57,34,552) = ( 57 × 34 × 552 ) / 6
LCM(57,34,552) = 1069776 / 6
LCM(57,34,552) = 178296
Lets's calculate GCF of 655,855,154
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 178296/1
Therefore the LCM of Fractions 57/655,34/855,552/154 is 178296
Factors of 655
List of positive integer factors of 655 that divides 655 without a remainder.
1,5,131,655
Factors of 855
List of positive integer factors of 855 that divides 855 without a remainder.
1,3,5,9,15,19,45,57,95,171,285,855
Factors of 154
List of positive integer factors of 154 that divides 154 without a remainder.
1,2,7,11,14,22,77,154
Greatest Common Factor
We found the factors 655,855,154 . The biggest common factor number is the GCF number.
So the greatest common factor 655,855,154 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 57/655, 34/855, 552/154?
Answer: LCM of Numerators as per given numbers 57/655, 34/855, 552/154 is
LCM of Numerators i.e. for 57,34,552 is 178296
GCF of denominators i.e. for 655,855,154 is 1.
Thus, LCM of Fractions is 178296.Finally, LCM of Fractions for 57/655, 34/855, 552/154 is 178296.