Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 62/83, 73/760, 345/451 quickly i.e. 1561470 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 62/83, 73/760, 345/451 is 1561470.
LCM(62/83, 73/760, 345/451) = 1561470
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 62/83,73/760,345/451
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 62,73,345
Least Common Multiple of Numerators i.e. LCM of 62,73,345 is 1561470.
GCF of Denominators means GCF of 83,760,451 as per the given fractions.
GCF of 83,760,451 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 62,73,345
Given numbers has no common factors except 1. So, there LCM is their product i.e 1561470
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 62,73,345 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(62,73,345) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(62,73,345) x common factors =1 x 1 = 1
LCM(62,73,345) = ( 62 × 73 × 345 ) / 1
LCM(62,73,345) = 1561470 / 1
LCM(62,73,345) = 1561470
Lets's calculate GCF of 83,760,451
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1561470/1
Therefore the LCM of Fractions 62/83,73/760,345/451 is 1561470
Factors of 83
List of positive integer factors of 83 that divides 83 without a remainder.
1,83
Factors of 760
List of positive integer factors of 760 that divides 760 without a remainder.
1,2,4,5,8,10,19,20,38,40,76,95,152,190,380,760
Factors of 451
List of positive integer factors of 451 that divides 451 without a remainder.
1,11,41,451
Greatest Common Factor
We found the factors 83,760,451 . The biggest common factor number is the GCF number.
So the greatest common factor 83,760,451 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 62/83, 73/760, 345/451?
Answer: LCM of Numerators as per given numbers 62/83, 73/760, 345/451 is
LCM of Numerators i.e. for 62,73,345 is 1561470
GCF of denominators i.e. for 83,760,451 is 1.
Thus, LCM of Fractions is 1561470.Finally, LCM of Fractions for 62/83, 73/760, 345/451 is 1561470.