Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 18/918, 150/685, 488/536 quickly i.e. 109800 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 18/918, 150/685, 488/536 is 109800.
LCM(18/918, 150/685, 488/536) = 109800
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 18/918,150/685,488/536
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 18,150,488
Least Common Multiple of Numerators i.e. LCM of 18,150,488 is 109800.
GCF of Denominators means GCF of 918,685,536 as per the given fractions.
GCF of 918,685,536 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 18,150,488
2 | 18, 150, 488 |
3 | 9, 75, 244 |
3, 25, 244 |
∴ So the LCM of the given numbers is 2 x 3 x 3 x 25 x 244 = 109800
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 18,150,488 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(18,150,488) = 2
common factors(in case of two or more numbers have common factors) = 6
GCF(18,150,488) x common factors =2 x 6 = 12
LCM(18,150,488) = ( 18 × 150 × 488 ) / 12
LCM(18,150,488) = 1317600 / 12
LCM(18,150,488) = 109800
Lets's calculate GCF of 918,685,536
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 109800/1
Therefore the LCM of Fractions 18/918,150/685,488/536 is 109800
Factors of 918
List of positive integer factors of 918 that divides 918 without a remainder.
1,2,3,6,9,17,18,27,34,51,54,102,153,306,459,918
Factors of 685
List of positive integer factors of 685 that divides 685 without a remainder.
1,5,137,685
Factors of 536
List of positive integer factors of 536 that divides 536 without a remainder.
1,2,4,8,67,134,268,536
Greatest Common Factor
We found the factors 918,685,536 . The biggest common factor number is the GCF number.
So the greatest common factor 918,685,536 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 18/918, 150/685, 488/536?
Answer: LCM of Numerators as per given numbers 18/918, 150/685, 488/536 is
LCM of Numerators i.e. for 18,150,488 is 109800
GCF of denominators i.e. for 918,685,536 is 1.
Thus, LCM of Fractions is 109800.Finally, LCM of Fractions for 18/918, 150/685, 488/536 is 109800.