Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 865/68, 713/36, 436/548 quickly i.e. 67225205 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 865/68, 713/36, 436/548 is 67225205.
LCM(865/68, 713/36, 436/548) = 67225205
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 865/68,713/36,436/548
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 865,713,436
Least Common Multiple of Numerators i.e. LCM of 865,713,436 is 268900820.
GCF of Denominators means GCF of 68,36,548 as per the given fractions.
GCF of 68,36,548 is 4 as it is the largest common factor for these numbers.
Lets's calculate LCM of 865,713,436
Given numbers has no common factors except 1. So, there LCM is their product i.e 268900820
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 865,713,436 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(865,713,436) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(865,713,436) x common factors =1 x 1 = 1
LCM(865,713,436) = ( 865 × 713 × 436 ) / 1
LCM(865,713,436) = 268900820 / 1
LCM(865,713,436) = 268900820
Lets's calculate GCF of 68,36,548
2 | 68, 36, 548 |
2 | 34, 18, 274 |
17, 9, 137 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 268900820/4
Therefore the LCM of Fractions 865/68,713/36,436/548 is 67225205
Factors of 68
List of positive integer factors of 68 that divides 68 without a remainder.
1,2,4,17,34,68
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 548
List of positive integer factors of 548 that divides 548 without a remainder.
1,2,4,137,274,548
Greatest Common Factor
We found the factors 68,36,548 . The biggest common factor number is the GCF number.
So the greatest common factor 68,36,548 is 4.
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 865/68, 713/36, 436/548?
Answer: LCM of Numerators as per given numbers 865/68, 713/36, 436/548 is
LCM of Numerators i.e. for 865,713,436 is 268900820
GCF of denominators i.e. for 68,36,548 is 4.
Thus, LCM of Fractions is 67225205.Finally, LCM of Fractions for 865/68, 713/36, 436/548 is 67225205.