Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 52/917, 108/199, 385/726 quickly i.e. 540540 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 52/917, 108/199, 385/726 is 540540.
LCM(52/917, 108/199, 385/726) = 540540
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 52/917,108/199,385/726
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 52,108,385
Least Common Multiple of Numerators i.e. LCM of 52,108,385 is 540540.
GCF of Denominators means GCF of 917,199,726 as per the given fractions.
GCF of 917,199,726 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 52,108,385
2 | 52, 108, 385 |
2 | 26, 54, 385 |
13, 27, 385 |
∴ So the LCM of the given numbers is 2 x 2 x 13 x 27 x 385 = 540540
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 52,108,385 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(52,108,385) = 1
common factors(in case of two or more numbers have common factors) = 4
GCF(52,108,385) x common factors =1 x 4 = 4
LCM(52,108,385) = ( 52 × 108 × 385 ) / 4
LCM(52,108,385) = 2162160 / 4
LCM(52,108,385) = 540540
Lets's calculate GCF of 917,199,726
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 540540/1
Therefore the LCM of Fractions 52/917,108/199,385/726 is 540540
Factors of 917
List of positive integer factors of 917 that divides 917 without a remainder.
1,7,131,917
Factors of 199
List of positive integer factors of 199 that divides 199 without a remainder.
1,199
Factors of 726
List of positive integer factors of 726 that divides 726 without a remainder.
1,2,3,6,11,22,33,66,121,242,363,726
Greatest Common Factor
We found the factors 917,199,726 . The biggest common factor number is the GCF number.
So the greatest common factor 917,199,726 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 52/917, 108/199, 385/726?
Answer: LCM of Numerators as per given numbers 52/917, 108/199, 385/726 is
LCM of Numerators i.e. for 52,108,385 is 540540
GCF of denominators i.e. for 917,199,726 is 1.
Thus, LCM of Fractions is 540540.Finally, LCM of Fractions for 52/917, 108/199, 385/726 is 540540.