Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 13/367, 807/657, 169/310 quickly i.e. 136383 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 13/367, 807/657, 169/310 is 136383.
LCM(13/367, 807/657, 169/310) = 136383
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 13/367,807/657,169/310
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 13,807,169
Least Common Multiple of Numerators i.e. LCM of 13,807,169 is 136383.
GCF of Denominators means GCF of 367,657,310 as per the given fractions.
GCF of 367,657,310 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 13,807,169
13 | 13, 807, 169 |
1, 807, 13 |
∴ So the LCM of the given numbers is 13 x 1 x 807 x 13 = 136383
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 13,807,169 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(13,807,169) = 1
common factors(in case of two or more numbers have common factors) = 13
GCF(13,807,169) x common factors =1 x 13 = 13
LCM(13,807,169) = ( 13 × 807 × 169 ) / 13
LCM(13,807,169) = 1772979 / 13
LCM(13,807,169) = 136383
Lets's calculate GCF of 367,657,310
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 136383/1
Therefore the LCM of Fractions 13/367,807/657,169/310 is 136383
Factors of 367
List of positive integer factors of 367 that divides 367 without a remainder.
1,367
Factors of 657
List of positive integer factors of 657 that divides 657 without a remainder.
1,3,9,73,219,657
Factors of 310
List of positive integer factors of 310 that divides 310 without a remainder.
1,2,5,10,31,62,155,310
Greatest Common Factor
We found the factors 367,657,310 . The biggest common factor number is the GCF number.
So the greatest common factor 367,657,310 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 13/367, 807/657, 169/310?
Answer: LCM of Numerators as per given numbers 13/367, 807/657, 169/310 is
LCM of Numerators i.e. for 13,807,169 is 136383
GCF of denominators i.e. for 367,657,310 is 1.
Thus, LCM of Fractions is 136383.Finally, LCM of Fractions for 13/367, 807/657, 169/310 is 136383.