Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 473/319, 6472/935 quickly i.e. 278296 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 473/319, 6472/935 is 278296.
LCM(473/319, 6472/935) = 278296
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 473/319,6472/935
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 473,6472
Least Common Multiple of Numerators i.e. LCM of 473,6472 is 3061256.
GCF of Denominators means GCF of 319,935 as per the given fractions.
GCF of 319,935 is 11 as it is the largest common factor for these numbers.
Lets's calculate LCM of 473,6472
Given numbers has no common factors except 1. So, there LCM is their product i.e 3061256
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 473,6472 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(473,6472) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(473,6472) x common factors =1 x 1 = 1
LCM(473,6472) = ( 473 × 6472 ) / 1
LCM(473,6472) = 3061256 / 1
LCM(473,6472) = 3061256
Lets's calculate GCF of 319,935
11 | 319, 935 |
29, 85 |
∴ So the GCF of the given numbers is 11 = 11
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3061256/11
Therefore the LCM of Fractions 473/319,6472/935 is 278296
Factors of 319
List of positive integer factors of 319 that divides 319 without a remainder.
1,11,29,319
Factors of 935
List of positive integer factors of 935 that divides 935 without a remainder.
1,5,11,17,55,85,187,935
Greatest Common Factor
We found the factors 319,935 . The biggest common factor number is the GCF number.
So the greatest common factor 319,935 is 11.
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 473/319, 6472/935?
Answer: LCM of Numerators as per given numbers 473/319, 6472/935 is
LCM of Numerators i.e. for 473,6472 is 3061256
GCF of denominators i.e. for 319,935 is 11.
Thus, LCM of Fractions is 278296.Finally, LCM of Fractions for 473/319, 6472/935 is 278296.