Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 57/24, 68/266, 395/758 quickly i.e. 765510 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 57/24, 68/266, 395/758 is 765510.
LCM(57/24, 68/266, 395/758) = 765510
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 57/24,68/266,395/758
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 57,68,395
Least Common Multiple of Numerators i.e. LCM of 57,68,395 is 1531020.
GCF of Denominators means GCF of 24,266,758 as per the given fractions.
GCF of 24,266,758 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 57,68,395
Given numbers has no common factors except 1. So, there LCM is their product i.e 1531020
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 57,68,395 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(57,68,395) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(57,68,395) x common factors =1 x 1 = 1
LCM(57,68,395) = ( 57 × 68 × 395 ) / 1
LCM(57,68,395) = 1531020 / 1
LCM(57,68,395) = 1531020
Lets's calculate GCF of 24,266,758
2 | 24, 266, 758 |
12, 133, 379 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1531020/2
Therefore the LCM of Fractions 57/24,68/266,395/758 is 765510
Factors of 24
List of positive integer factors of 24 that divides 24 without a remainder.
1,2,3,4,6,8,12,24
Factors of 266
List of positive integer factors of 266 that divides 266 without a remainder.
1,2,7,14,19,38,133,266
Factors of 758
List of positive integer factors of 758 that divides 758 without a remainder.
1,2,379,758
Greatest Common Factor
We found the factors 24,266,758 . The biggest common factor number is the GCF number.
So the greatest common factor 24,266,758 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 57/24, 68/266, 395/758?
Answer: LCM of Numerators as per given numbers 57/24, 68/266, 395/758 is
LCM of Numerators i.e. for 57,68,395 is 1531020
GCF of denominators i.e. for 24,266,758 is 2.
Thus, LCM of Fractions is 765510.Finally, LCM of Fractions for 57/24, 68/266, 395/758 is 765510.