Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 56/885, 46/242, 277/667 quickly i.e. 356776 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 56/885, 46/242, 277/667 is 356776.
LCM(56/885, 46/242, 277/667) = 356776
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 56/885,46/242,277/667
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 56,46,277
Least Common Multiple of Numerators i.e. LCM of 56,46,277 is 356776.
GCF of Denominators means GCF of 885,242,667 as per the given fractions.
GCF of 885,242,667 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 56,46,277
2 | 56, 46, 277 |
28, 23, 277 |
∴ So the LCM of the given numbers is 2 x 28 x 23 x 277 = 356776
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 56,46,277 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(56,46,277) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(56,46,277) x common factors =1 x 2 = 2
LCM(56,46,277) = ( 56 × 46 × 277 ) / 2
LCM(56,46,277) = 713552 / 2
LCM(56,46,277) = 356776
Lets's calculate GCF of 885,242,667
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 356776/1
Therefore the LCM of Fractions 56/885,46/242,277/667 is 356776
Factors of 885
List of positive integer factors of 885 that divides 885 without a remainder.
1,3,5,15,59,177,295,885
Factors of 242
List of positive integer factors of 242 that divides 242 without a remainder.
1,2,11,22,121,242
Factors of 667
List of positive integer factors of 667 that divides 667 without a remainder.
1,23,29,667
Greatest Common Factor
We found the factors 885,242,667 . The biggest common factor number is the GCF number.
So the greatest common factor 885,242,667 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 56/885, 46/242, 277/667?
Answer: LCM of Numerators as per given numbers 56/885, 46/242, 277/667 is
LCM of Numerators i.e. for 56,46,277 is 356776
GCF of denominators i.e. for 885,242,667 is 1.
Thus, LCM of Fractions is 356776.Finally, LCM of Fractions for 56/885, 46/242, 277/667 is 356776.