Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 67/46, 500/51, 671/524 quickly i.e. 22478500 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 67/46, 500/51, 671/524 is 22478500.
LCM(67/46, 500/51, 671/524) = 22478500
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 67/46,500/51,671/524
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 67,500,671
Least Common Multiple of Numerators i.e. LCM of 67,500,671 is 22478500.
GCF of Denominators means GCF of 46,51,524 as per the given fractions.
GCF of 46,51,524 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 67,500,671
Given numbers has no common factors except 1. So, there LCM is their product i.e 22478500
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 67,500,671 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(67,500,671) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(67,500,671) x common factors =1 x 1 = 1
LCM(67,500,671) = ( 67 × 500 × 671 ) / 1
LCM(67,500,671) = 22478500 / 1
LCM(67,500,671) = 22478500
Lets's calculate GCF of 46,51,524
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 22478500/1
Therefore the LCM of Fractions 67/46,500/51,671/524 is 22478500
Factors of 46
List of positive integer factors of 46 that divides 46 without a remainder.
1,2,23,46
Factors of 51
List of positive integer factors of 51 that divides 51 without a remainder.
1,3,17,51
Factors of 524
List of positive integer factors of 524 that divides 524 without a remainder.
1,2,4,131,262,524
Greatest Common Factor
We found the factors 46,51,524 . The biggest common factor number is the GCF number.
So the greatest common factor 46,51,524 is 1.
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 67/46, 500/51, 671/524?
Answer: LCM of Numerators as per given numbers 67/46, 500/51, 671/524 is
LCM of Numerators i.e. for 67,500,671 is 22478500
GCF of denominators i.e. for 46,51,524 is 1.
Thus, LCM of Fractions is 22478500.Finally, LCM of Fractions for 67/46, 500/51, 671/524 is 22478500.