Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 655/556, 907/233 quickly i.e. 594085 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 655/556, 907/233 is 594085.
LCM(655/556, 907/233) = 594085
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 655/556,907/233
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 655,907
Least Common Multiple of Numerators i.e. LCM of 655,907 is 594085.
GCF of Denominators means GCF of 556,233 as per the given fractions.
GCF of 556,233 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 655,907
Given numbers has no common factors except 1. So, there LCM is their product i.e 594085
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 655,907 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(655,907) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(655,907) x common factors =1 x 1 = 1
LCM(655,907) = ( 655 × 907 ) / 1
LCM(655,907) = 594085 / 1
LCM(655,907) = 594085
Lets's calculate GCF of 556,233
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 594085/1
Therefore the LCM of Fractions 655/556,907/233 is 594085
Factors of 556
List of positive integer factors of 556 that divides 556 without a remainder.
1,2,4,139,278,556
Factors of 233
List of positive integer factors of 233 that divides 233 without a remainder.
1,233
Greatest Common Factor
We found the factors 556,233 . The biggest common factor number is the GCF number.
So the greatest common factor 556,233 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 655/556, 907/233?
Answer: LCM of Numerators as per given numbers 655/556, 907/233 is
LCM of Numerators i.e. for 655,907 is 594085
GCF of denominators i.e. for 556,233 is 1.
Thus, LCM of Fractions is 594085.Finally, LCM of Fractions for 655/556, 907/233 is 594085.