Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 13/991, 454/845, 468/534 quickly i.e. 106236 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 13/991, 454/845, 468/534 is 106236.
LCM(13/991, 454/845, 468/534) = 106236
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 13/991,454/845,468/534
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 13,454,468
Least Common Multiple of Numerators i.e. LCM of 13,454,468 is 106236.
GCF of Denominators means GCF of 991,845,534 as per the given fractions.
GCF of 991,845,534 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 13,454,468
2 | 13, 454, 468 |
13 | 13, 227, 234 |
1, 227, 18 |
∴ So the LCM of the given numbers is 2 x 13 x 1 x 227 x 18 = 106236
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 13,454,468 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(13,454,468) = 1
common factors(in case of two or more numbers have common factors) = 26
GCF(13,454,468) x common factors =1 x 26 = 26
LCM(13,454,468) = ( 13 × 454 × 468 ) / 26
LCM(13,454,468) = 2762136 / 26
LCM(13,454,468) = 106236
Lets's calculate GCF of 991,845,534
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 106236/1
Therefore the LCM of Fractions 13/991,454/845,468/534 is 106236
Factors of 991
List of positive integer factors of 991 that divides 991 without a remainder.
1,991
Factors of 845
List of positive integer factors of 845 that divides 845 without a remainder.
1,5,13,65,169,845
Factors of 534
List of positive integer factors of 534 that divides 534 without a remainder.
1,2,3,6,89,178,267,534
Greatest Common Factor
We found the factors 991,845,534 . The biggest common factor number is the GCF number.
So the greatest common factor 991,845,534 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 13/991, 454/845, 468/534?
Answer: LCM of Numerators as per given numbers 13/991, 454/845, 468/534 is
LCM of Numerators i.e. for 13,454,468 is 106236
GCF of denominators i.e. for 991,845,534 is 1.
Thus, LCM of Fractions is 106236.Finally, LCM of Fractions for 13/991, 454/845, 468/534 is 106236.