Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 935/97, 396/11, 759/507 quickly i.e. 774180 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 935/97, 396/11, 759/507 is 774180.
LCM(935/97, 396/11, 759/507) = 774180
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 935/97,396/11,759/507
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 935,396,759
Least Common Multiple of Numerators i.e. LCM of 935,396,759 is 774180.
GCF of Denominators means GCF of 97,11,507 as per the given fractions.
GCF of 97,11,507 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 935,396,759
3 | 935, 396, 759 |
11 | 935, 132, 253 |
85, 12, 23 |
∴ So the LCM of the given numbers is 3 x 11 x 85 x 12 x 23 = 774180
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 935,396,759 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(935,396,759) = 11
common factors(in case of two or more numbers have common factors) = 33
GCF(935,396,759) x common factors =11 x 33 = 363
LCM(935,396,759) = ( 935 × 396 × 759 ) / 363
LCM(935,396,759) = 281027340 / 363
LCM(935,396,759) = 774180
Lets's calculate GCF of 97,11,507
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 774180/1
Therefore the LCM of Fractions 935/97,396/11,759/507 is 774180
Factors of 97
List of positive integer factors of 97 that divides 97 without a remainder.
1,97
Factors of 11
List of positive integer factors of 11 that divides 11 without a remainder.
1,11
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 97,11,507 . The biggest common factor number is the GCF number.
So the greatest common factor 97,11,507 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 935/97, 396/11, 759/507?
Answer: LCM of Numerators as per given numbers 935/97, 396/11, 759/507 is
LCM of Numerators i.e. for 935,396,759 is 774180
GCF of denominators i.e. for 97,11,507 is 1.
Thus, LCM of Fractions is 774180.Finally, LCM of Fractions for 935/97, 396/11, 759/507 is 774180.