Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 41/546, 58/645 quickly i.e. 2378/3 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 41/546, 58/645 is 2378/3.
LCM(41/546, 58/645) = 2378/3
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 41/546,58/645
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 41,58
Least Common Multiple of Numerators i.e. LCM of 41,58 is 2378.
GCF of Denominators means GCF of 546,645 as per the given fractions.
GCF of 546,645 is 3 as it is the largest common factor for these numbers.
Lets's calculate LCM of 41,58
Given numbers has no common factors except 1. So, there LCM is their product i.e 2378
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 41,58 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(41,58) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(41,58) x common factors =1 x 1 = 1
LCM(41,58) = ( 41 × 58 ) / 1
LCM(41,58) = 2378 / 1
LCM(41,58) = 2378
Lets's calculate GCF of 546,645
3 | 546, 645 |
182, 215 |
∴ So the GCF of the given numbers is 3 = 3
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2378/3
Therefore the LCM of Fractions 41/546,58/645 is 2378/3
Factors of 546
List of positive integer factors of 546 that divides 546 without a remainder.
1,2,3,6,7,13,14,21,26,39,42,78,91,182,273,546
Factors of 645
List of positive integer factors of 645 that divides 645 without a remainder.
1,3,5,15,43,129,215,645
Greatest Common Factor
We found the factors 546,645 . The biggest common factor number is the GCF number.
So the greatest common factor 546,645 is 3.
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 41/546, 58/645?
Answer: LCM of Numerators as per given numbers 41/546, 58/645 is
LCM of Numerators i.e. for 41,58 is 2378
GCF of denominators i.e. for 546,645 is 3.
Thus, LCM of Fractions is 2378/3.Finally, LCM of Fractions for 41/546, 58/645 is 2378/3.