Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 248/42, 531/36, 940/808 quickly i.e. 15473340 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 248/42, 531/36, 940/808 is 15473340.
LCM(248/42, 531/36, 940/808) = 15473340
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 248/42,531/36,940/808
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 248,531,940
Least Common Multiple of Numerators i.e. LCM of 248,531,940 is 30946680.
GCF of Denominators means GCF of 42,36,808 as per the given fractions.
GCF of 42,36,808 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 248,531,940
2 | 248, 531, 940 |
2 | 124, 531, 470 |
62, 531, 235 |
∴ So the LCM of the given numbers is 2 x 2 x 62 x 531 x 235 = 30946680
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 248,531,940 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(248,531,940) = 1
common factors(in case of two or more numbers have common factors) = 4
GCF(248,531,940) x common factors =1 x 4 = 4
LCM(248,531,940) = ( 248 × 531 × 940 ) / 4
LCM(248,531,940) = 123786720 / 4
LCM(248,531,940) = 30946680
Lets's calculate GCF of 42,36,808
2 | 42, 36, 808 |
21, 18, 404 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 30946680/2
Therefore the LCM of Fractions 248/42,531/36,940/808 is 15473340
Factors of 42
List of positive integer factors of 42 that divides 42 without a remainder.
1,2,3,6,7,14,21,42
Factors of 36
List of positive integer factors of 36 that divides 36 without a remainder.
1,2,3,4,6,9,12,18,36
Factors of 808
List of positive integer factors of 808 that divides 808 without a remainder.
1,2,4,8,101,202,404,808
Greatest Common Factor
We found the factors 42,36,808 . The biggest common factor number is the GCF number.
So the greatest common factor 42,36,808 is 2.
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 248/42, 531/36, 940/808?
Answer: LCM of Numerators as per given numbers 248/42, 531/36, 940/808 is
LCM of Numerators i.e. for 248,531,940 is 30946680
GCF of denominators i.e. for 42,36,808 is 2.
Thus, LCM of Fractions is 15473340.Finally, LCM of Fractions for 248/42, 531/36, 940/808 is 15473340.