Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 35/753, 27/561, 185/959 quickly i.e. 34965 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 35/753, 27/561, 185/959 is 34965.
LCM(35/753, 27/561, 185/959) = 34965
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 35/753,27/561,185/959
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 35,27,185
Least Common Multiple of Numerators i.e. LCM of 35,27,185 is 34965.
GCF of Denominators means GCF of 753,561,959 as per the given fractions.
GCF of 753,561,959 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 35,27,185
5 | 35, 27, 185 |
7, 27, 37 |
∴ So the LCM of the given numbers is 5 x 7 x 27 x 37 = 34965
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 35,27,185 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(35,27,185) = 1
common factors(in case of two or more numbers have common factors) = 5
GCF(35,27,185) x common factors =1 x 5 = 5
LCM(35,27,185) = ( 35 × 27 × 185 ) / 5
LCM(35,27,185) = 174825 / 5
LCM(35,27,185) = 34965
Lets's calculate GCF of 753,561,959
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 34965/1
Therefore the LCM of Fractions 35/753,27/561,185/959 is 34965
Factors of 753
List of positive integer factors of 753 that divides 753 without a remainder.
1,3,251,753
Factors of 561
List of positive integer factors of 561 that divides 561 without a remainder.
1,3,11,17,33,51,187,561
Factors of 959
List of positive integer factors of 959 that divides 959 without a remainder.
1,7,137,959
Greatest Common Factor
We found the factors 753,561,959 . The biggest common factor number is the GCF number.
So the greatest common factor 753,561,959 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 35/753, 27/561, 185/959?
Answer: LCM of Numerators as per given numbers 35/753, 27/561, 185/959 is
LCM of Numerators i.e. for 35,27,185 is 34965
GCF of denominators i.e. for 753,561,959 is 1.
Thus, LCM of Fractions is 34965.Finally, LCM of Fractions for 35/753, 27/561, 185/959 is 34965.