Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 17/73, 142/37, 261/760 quickly i.e. 630054 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 17/73, 142/37, 261/760 is 630054.
LCM(17/73, 142/37, 261/760) = 630054
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 17/73,142/37,261/760
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 17,142,261
Least Common Multiple of Numerators i.e. LCM of 17,142,261 is 630054.
GCF of Denominators means GCF of 73,37,760 as per the given fractions.
GCF of 73,37,760 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 17,142,261
Given numbers has no common factors except 1. So, there LCM is their product i.e 630054
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 17,142,261 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(17,142,261) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(17,142,261) x common factors =1 x 1 = 1
LCM(17,142,261) = ( 17 × 142 × 261 ) / 1
LCM(17,142,261) = 630054 / 1
LCM(17,142,261) = 630054
Lets's calculate GCF of 73,37,760
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 630054/1
Therefore the LCM of Fractions 17/73,142/37,261/760 is 630054
Factors of 73
List of positive integer factors of 73 that divides 73 without a remainder.
1,73
Factors of 37
List of positive integer factors of 37 that divides 37 without a remainder.
1,37
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
Greatest Common Factor
We found the factors 73,37,760 . The biggest common factor number is the GCF number.
So the greatest common factor 73,37,760 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 17/73, 142/37, 261/760?
Answer: LCM of Numerators as per given numbers 17/73, 142/37, 261/760 is
LCM of Numerators i.e. for 17,142,261 is 630054
GCF of denominators i.e. for 73,37,760 is 1.
Thus, LCM of Fractions is 630054.Finally, LCM of Fractions for 17/73, 142/37, 261/760 is 630054.