Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 95/611, 590/161, 885/838 quickly i.e. 33630 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 95/611, 590/161, 885/838 is 33630.
LCM(95/611, 590/161, 885/838) = 33630
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 95/611,590/161,885/838
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 95,590,885
Least Common Multiple of Numerators i.e. LCM of 95,590,885 is 33630.
GCF of Denominators means GCF of 611,161,838 as per the given fractions.
GCF of 611,161,838 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 95,590,885
5 | 95, 590, 885 |
59 | 19, 118, 177 |
19, 2, 3 |
∴ So the LCM of the given numbers is 5 x 59 x 19 x 2 x 3 = 33630
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 95,590,885 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(95,590,885) = 5
common factors(in case of two or more numbers have common factors) = 295
GCF(95,590,885) x common factors =5 x 295 = 1475
LCM(95,590,885) = ( 95 × 590 × 885 ) / 1475
LCM(95,590,885) = 49604250 / 1475
LCM(95,590,885) = 33630
Lets's calculate GCF of 611,161,838
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 33630/1
Therefore the LCM of Fractions 95/611,590/161,885/838 is 33630
Factors of 611
List of positive integer factors of 611 that divides 611 without a remainder.
1,13,47,611
Factors of 161
List of positive integer factors of 161 that divides 161 without a remainder.
1,7,23,161
Factors of 838
List of positive integer factors of 838 that divides 838 without a remainder.
1,2,419,838
Greatest Common Factor
We found the factors 611,161,838 . The biggest common factor number is the GCF number.
So the greatest common factor 611,161,838 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 95/611, 590/161, 885/838?
Answer: LCM of Numerators as per given numbers 95/611, 590/161, 885/838 is
LCM of Numerators i.e. for 95,590,885 is 33630
GCF of denominators i.e. for 611,161,838 is 1.
Thus, LCM of Fractions is 33630.Finally, LCM of Fractions for 95/611, 590/161, 885/838 is 33630.