Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 465/56, 771/68, 966/598 quickly i.e. 19240305 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 465/56, 771/68, 966/598 is 19240305.
LCM(465/56, 771/68, 966/598) = 19240305
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 465/56,771/68,966/598
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 465,771,966
Least Common Multiple of Numerators i.e. LCM of 465,771,966 is 38480610.
GCF of Denominators means GCF of 56,68,598 as per the given fractions.
GCF of 56,68,598 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 465,771,966
3 | 465, 771, 966 |
155, 257, 322 |
∴ So the LCM of the given numbers is 3 x 155 x 257 x 322 = 38480610
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 465,771,966 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(465,771,966) = 3
common factors(in case of two or more numbers have common factors) = 3
GCF(465,771,966) x common factors =3 x 3 = 9
LCM(465,771,966) = ( 465 × 771 × 966 ) / 9
LCM(465,771,966) = 346325490 / 9
LCM(465,771,966) = 38480610
Lets's calculate GCF of 56,68,598
2 | 56, 68, 598 |
28, 34, 299 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 38480610/2
Therefore the LCM of Fractions 465/56,771/68,966/598 is 19240305
Factors of 56
List of positive integer factors of 56 that divides 56 without a remainder.
1,2,4,7,8,14,28,56
Factors of 68
List of positive integer factors of 68 that divides 68 without a remainder.
1,2,4,17,34,68
Factors of 598
List of positive integer factors of 598 that divides 598 without a remainder.
1,2,13,23,26,46,299,598
Greatest Common Factor
We found the factors 56,68,598 . The biggest common factor number is the GCF number.
So the greatest common factor 56,68,598 is 2.
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 465/56, 771/68, 966/598?
Answer: LCM of Numerators as per given numbers 465/56, 771/68, 966/598 is
LCM of Numerators i.e. for 465,771,966 is 38480610
GCF of denominators i.e. for 56,68,598 is 2.
Thus, LCM of Fractions is 19240305.Finally, LCM of Fractions for 465/56, 771/68, 966/598 is 19240305.