Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 713/536, 558/654 quickly i.e. 6417 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 713/536, 558/654 is 6417.
LCM(713/536, 558/654) = 6417
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 713/536,558/654
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 713,558
Least Common Multiple of Numerators i.e. LCM of 713,558 is 12834.
GCF of Denominators means GCF of 536,654 as per the given fractions.
GCF of 536,654 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 713,558
31 | 713, 558 |
23, 18 |
∴ So the LCM of the given numbers is 31 x 23 x 18 = 12834
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 713,558 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(713,558) = 31
common factors(in case of two or more numbers have common factors) = 1
GCF(713,558) x common factors =31 x 1 = 31
LCM(713,558) = ( 713 × 558 ) / 31
LCM(713,558) = 397854 / 31
LCM(713,558) = 12834
Lets's calculate GCF of 536,654
2 | 536, 654 |
268, 327 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 12834/2
Therefore the LCM of Fractions 713/536,558/654 is 6417
Factors of 536
List of positive integer factors of 536 that divides 536 without a remainder.
1,2,4,8,67,134,268,536
Factors of 654
List of positive integer factors of 654 that divides 654 without a remainder.
1,2,3,6,109,218,327,654
Greatest Common Factor
We found the factors 536,654 . The biggest common factor number is the GCF number.
So the greatest common factor 536,654 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 713/536, 558/654?
Answer: LCM of Numerators as per given numbers 713/536, 558/654 is
LCM of Numerators i.e. for 713,558 is 12834
GCF of denominators i.e. for 536,654 is 2.
Thus, LCM of Fractions is 6417.Finally, LCM of Fractions for 713/536, 558/654 is 6417.