Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 330/713, 690/327, 770/507 quickly i.e. 53130 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 330/713, 690/327, 770/507 is 53130.
LCM(330/713, 690/327, 770/507) = 53130
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 330/713,690/327,770/507
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 330,690,770
Least Common Multiple of Numerators i.e. LCM of 330,690,770 is 53130.
GCF of Denominators means GCF of 713,327,507 as per the given fractions.
GCF of 713,327,507 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 330,690,770
2 | 330, 690, 770 |
3 | 165, 345, 385 |
5 | 55, 115, 385 |
11 | 11, 23, 77 |
1, 23, 7 |
∴ So the LCM of the given numbers is 2 x 3 x 5 x 11 x 1 x 23 x 7 = 53130
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 330,690,770 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(330,690,770) = 10
common factors(in case of two or more numbers have common factors) = 330
GCF(330,690,770) x common factors =10 x 330 = 3300
LCM(330,690,770) = ( 330 × 690 × 770 ) / 3300
LCM(330,690,770) = 175329000 / 3300
LCM(330,690,770) = 53130
Lets's calculate GCF of 713,327,507
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 53130/1
Therefore the LCM of Fractions 330/713,690/327,770/507 is 53130
Factors of 713
List of positive integer factors of 713 that divides 713 without a remainder.
1,23,31,713
Factors of 327
List of positive integer factors of 327 that divides 327 without a remainder.
1,3,109,327
Factors of 507
List of positive integer factors of 507 that divides 507 without a remainder.
1,3,13,39,169,507
Greatest Common Factor
We found the factors 713,327,507 . The biggest common factor number is the GCF number.
So the greatest common factor 713,327,507 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 330/713, 690/327, 770/507?
Answer: LCM of Numerators as per given numbers 330/713, 690/327, 770/507 is
LCM of Numerators i.e. for 330,690,770 is 53130
GCF of denominators i.e. for 713,327,507 is 1.
Thus, LCM of Fractions is 53130.Finally, LCM of Fractions for 330/713, 690/327, 770/507 is 53130.