Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 73/62, 26/10, 61/747 quickly i.e. 115778 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 73/62, 26/10, 61/747 is 115778.
LCM(73/62, 26/10, 61/747) = 115778
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 73/62,26/10,61/747
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 73,26,61
Least Common Multiple of Numerators i.e. LCM of 73,26,61 is 115778.
GCF of Denominators means GCF of 62,10,747 as per the given fractions.
GCF of 62,10,747 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 73,26,61
Given numbers has no common factors except 1. So, there LCM is their product i.e 115778
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 73,26,61 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(73,26,61) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(73,26,61) x common factors =1 x 1 = 1
LCM(73,26,61) = ( 73 × 26 × 61 ) / 1
LCM(73,26,61) = 115778 / 1
LCM(73,26,61) = 115778
Lets's calculate GCF of 62,10,747
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 115778/1
Therefore the LCM of Fractions 73/62,26/10,61/747 is 115778
Factors of 62
List of positive integer factors of 62 that divides 62 without a remainder.
1,2,31,62
Factors of 10
List of positive integer factors of 10 that divides 10 without a remainder.
1,2,5,10
Factors of 747
List of positive integer factors of 747 that divides 747 without a remainder.
1,3,9,83,249,747
Greatest Common Factor
We found the factors 62,10,747 . The biggest common factor number is the GCF number.
So the greatest common factor 62,10,747 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 73/62, 26/10, 61/747?
Answer: LCM of Numerators as per given numbers 73/62, 26/10, 61/747 is
LCM of Numerators i.e. for 73,26,61 is 115778
GCF of denominators i.e. for 62,10,747 is 1.
Thus, LCM of Fractions is 115778.Finally, LCM of Fractions for 73/62, 26/10, 61/747 is 115778.