Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 827/95, 925/93, 810/33 quickly i.e. 123925950 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 827/95, 925/93, 810/33 is 123925950.
LCM(827/95, 925/93, 810/33) = 123925950
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 827/95,925/93,810/33
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 827,925,810
Least Common Multiple of Numerators i.e. LCM of 827,925,810 is 123925950.
GCF of Denominators means GCF of 95,93,33 as per the given fractions.
GCF of 95,93,33 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 827,925,810
5 | 827, 925, 810 |
827, 185, 162 |
∴ So the LCM of the given numbers is 5 x 827 x 185 x 162 = 123925950
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 827,925,810 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(827,925,810) = 1
common factors(in case of two or more numbers have common factors) = 5
GCF(827,925,810) x common factors =1 x 5 = 5
LCM(827,925,810) = ( 827 × 925 × 810 ) / 5
LCM(827,925,810) = 619629750 / 5
LCM(827,925,810) = 123925950
Lets's calculate GCF of 95,93,33
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 123925950/1
Therefore the LCM of Fractions 827/95,925/93,810/33 is 123925950
Factors of 95
List of positive integer factors of 95 that divides 95 without a remainder.
1,5,19,95
Factors of 93
List of positive integer factors of 93 that divides 93 without a remainder.
1,3,31,93
Factors of 33
List of positive integer factors of 33 that divides 33 without a remainder.
1,3,11,33
Greatest Common Factor
We found the factors 95,93,33 . The biggest common factor number is the GCF number.
So the greatest common factor 95,93,33 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 827/95, 925/93, 810/33?
Answer: LCM of Numerators as per given numbers 827/95, 925/93, 810/33 is
LCM of Numerators i.e. for 827,925,810 is 123925950
GCF of denominators i.e. for 95,93,33 is 1.
Thus, LCM of Fractions is 123925950.Finally, LCM of Fractions for 827/95, 925/93, 810/33 is 123925950.