Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 13/694, 501/633, 156/351 quickly i.e. 26052 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 13/694, 501/633, 156/351 is 26052.
LCM(13/694, 501/633, 156/351) = 26052
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 13/694,501/633,156/351
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 13,501,156
Least Common Multiple of Numerators i.e. LCM of 13,501,156 is 26052.
GCF of Denominators means GCF of 694,633,351 as per the given fractions.
GCF of 694,633,351 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 13,501,156
3 | 13, 501, 156 |
13 | 13, 167, 52 |
1, 167, 4 |
∴ So the LCM of the given numbers is 3 x 13 x 1 x 167 x 4 = 26052
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 13,501,156 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(13,501,156) = 1
common factors(in case of two or more numbers have common factors) = 39
GCF(13,501,156) x common factors =1 x 39 = 39
LCM(13,501,156) = ( 13 × 501 × 156 ) / 39
LCM(13,501,156) = 1016028 / 39
LCM(13,501,156) = 26052
Lets's calculate GCF of 694,633,351
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 26052/1
Therefore the LCM of Fractions 13/694,501/633,156/351 is 26052
Factors of 694
List of positive integer factors of 694 that divides 694 without a remainder.
1,2,347,694
Factors of 633
List of positive integer factors of 633 that divides 633 without a remainder.
1,3,211,633
Factors of 351
List of positive integer factors of 351 that divides 351 without a remainder.
1,3,9,13,27,39,117,351
Greatest Common Factor
We found the factors 694,633,351 . The biggest common factor number is the GCF number.
So the greatest common factor 694,633,351 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 13/694, 501/633, 156/351?
Answer: LCM of Numerators as per given numbers 13/694, 501/633, 156/351 is
LCM of Numerators i.e. for 13,501,156 is 26052
GCF of denominators i.e. for 694,633,351 is 1.
Thus, LCM of Fractions is 26052.Finally, LCM of Fractions for 13/694, 501/633, 156/351 is 26052.