Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 35/931, 33/565, 756/334 quickly i.e. 41580 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 35/931, 33/565, 756/334 is 41580.
LCM(35/931, 33/565, 756/334) = 41580
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 35/931,33/565,756/334
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 35,33,756
Least Common Multiple of Numerators i.e. LCM of 35,33,756 is 41580.
GCF of Denominators means GCF of 931,565,334 as per the given fractions.
GCF of 931,565,334 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 35,33,756
3 | 35, 33, 756 |
7 | 35, 11, 252 |
5, 11, 36 |
∴ So the LCM of the given numbers is 3 x 7 x 5 x 11 x 36 = 41580
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 35,33,756 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(35,33,756) = 1
common factors(in case of two or more numbers have common factors) = 21
GCF(35,33,756) x common factors =1 x 21 = 21
LCM(35,33,756) = ( 35 × 33 × 756 ) / 21
LCM(35,33,756) = 873180 / 21
LCM(35,33,756) = 41580
Lets's calculate GCF of 931,565,334
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 41580/1
Therefore the LCM of Fractions 35/931,33/565,756/334 is 41580
Factors of 931
List of positive integer factors of 931 that divides 931 without a remainder.
1,7,19,49,133,931
Factors of 565
List of positive integer factors of 565 that divides 565 without a remainder.
1,5,113,565
Factors of 334
List of positive integer factors of 334 that divides 334 without a remainder.
1,2,167,334
Greatest Common Factor
We found the factors 931,565,334 . The biggest common factor number is the GCF number.
So the greatest common factor 931,565,334 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 35/931, 33/565, 756/334?
Answer: LCM of Numerators as per given numbers 35/931, 33/565, 756/334 is
LCM of Numerators i.e. for 35,33,756 is 41580
GCF of denominators i.e. for 931,565,334 is 1.
Thus, LCM of Fractions is 41580.Finally, LCM of Fractions for 35/931, 33/565, 756/334 is 41580.