Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 985/42, 337/77, 245/483 quickly i.e. 2323615 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 985/42, 337/77, 245/483 is 2323615.
LCM(985/42, 337/77, 245/483) = 2323615
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 985/42,337/77,245/483
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 985,337,245
Least Common Multiple of Numerators i.e. LCM of 985,337,245 is 16265305.
GCF of Denominators means GCF of 42,77,483 as per the given fractions.
GCF of 42,77,483 is 7 as it is the largest common factor for these numbers.
Lets's calculate LCM of 985,337,245
5 | 985, 337, 245 |
197, 337, 49 |
∴ So the LCM of the given numbers is 5 x 197 x 337 x 49 = 16265305
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 985,337,245 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(985,337,245) = 1
common factors(in case of two or more numbers have common factors) = 5
GCF(985,337,245) x common factors =1 x 5 = 5
LCM(985,337,245) = ( 985 × 337 × 245 ) / 5
LCM(985,337,245) = 81326525 / 5
LCM(985,337,245) = 16265305
Lets's calculate GCF of 42,77,483
7 | 42, 77, 483 |
6, 11, 69 |
∴ So the GCF of the given numbers is 7 = 7
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 16265305/7
Therefore the LCM of Fractions 985/42,337/77,245/483 is 2323615
Factors of 42
List of positive integer factors of 42 that divides 42 without a remainder.
1,2,3,6,7,14,21,42
Factors of 77
List of positive integer factors of 77 that divides 77 without a remainder.
1,7,11,77
Factors of 483
List of positive integer factors of 483 that divides 483 without a remainder.
1,3,7,21,23,69,161,483
Greatest Common Factor
We found the factors 42,77,483 . The biggest common factor number is the GCF number.
So the greatest common factor 42,77,483 is 7.
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 985/42, 337/77, 245/483?
Answer: LCM of Numerators as per given numbers 985/42, 337/77, 245/483 is
LCM of Numerators i.e. for 985,337,245 is 16265305
GCF of denominators i.e. for 42,77,483 is 7.
Thus, LCM of Fractions is 2323615.Finally, LCM of Fractions for 985/42, 337/77, 245/483 is 2323615.