Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 53/46, 918/13, 914/518 quickly i.e. 22234878 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 53/46, 918/13, 914/518 is 22234878.
LCM(53/46, 918/13, 914/518) = 22234878
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 53/46,918/13,914/518
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 53,918,914
Least Common Multiple of Numerators i.e. LCM of 53,918,914 is 22234878.
GCF of Denominators means GCF of 46,13,518 as per the given fractions.
GCF of 46,13,518 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 53,918,914
2 | 53, 918, 914 |
53, 459, 457 |
∴ So the LCM of the given numbers is 2 x 53 x 459 x 457 = 22234878
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 53,918,914 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(53,918,914) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(53,918,914) x common factors =1 x 2 = 2
LCM(53,918,914) = ( 53 × 918 × 914 ) / 2
LCM(53,918,914) = 44469756 / 2
LCM(53,918,914) = 22234878
Lets's calculate GCF of 46,13,518
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 22234878/1
Therefore the LCM of Fractions 53/46,918/13,914/518 is 22234878
Factors of 46
List of positive integer factors of 46 that divides 46 without a remainder.
1,2,23,46
Factors of 13
List of positive integer factors of 13 that divides 13 without a remainder.
1,13
Factors of 518
List of positive integer factors of 518 that divides 518 without a remainder.
1,2,7,14,37,74,259,518
Greatest Common Factor
We found the factors 46,13,518 . The biggest common factor number is the GCF number.
So the greatest common factor 46,13,518 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 53/46, 918/13, 914/518?
Answer: LCM of Numerators as per given numbers 53/46, 918/13, 914/518 is
LCM of Numerators i.e. for 53,918,914 is 22234878
GCF of denominators i.e. for 46,13,518 is 1.
Thus, LCM of Fractions is 22234878.Finally, LCM of Fractions for 53/46, 918/13, 914/518 is 22234878.