Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 61/62, 39/70, 55/745 quickly i.e. 130845 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 61/62, 39/70, 55/745 is 130845.
LCM(61/62, 39/70, 55/745) = 130845
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 61/62,39/70,55/745
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 61,39,55
Least Common Multiple of Numerators i.e. LCM of 61,39,55 is 130845.
GCF of Denominators means GCF of 62,70,745 as per the given fractions.
GCF of 62,70,745 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 61,39,55
Given numbers has no common factors except 1. So, there LCM is their product i.e 130845
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 61,39,55 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(61,39,55) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(61,39,55) x common factors =1 x 1 = 1
LCM(61,39,55) = ( 61 × 39 × 55 ) / 1
LCM(61,39,55) = 130845 / 1
LCM(61,39,55) = 130845
Lets's calculate GCF of 62,70,745
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 130845/1
Therefore the LCM of Fractions 61/62,39/70,55/745 is 130845
Factors of 62
List of positive integer factors of 62 that divides 62 without a remainder.
1,2,31,62
Factors of 70
List of positive integer factors of 70 that divides 70 without a remainder.
1,2,5,7,10,14,35,70
Factors of 745
List of positive integer factors of 745 that divides 745 without a remainder.
1,5,149,745
Greatest Common Factor
We found the factors 62,70,745 . The biggest common factor number is the GCF number.
So the greatest common factor 62,70,745 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 61/62, 39/70, 55/745?
Answer: LCM of Numerators as per given numbers 61/62, 39/70, 55/745 is
LCM of Numerators i.e. for 61,39,55 is 130845
GCF of denominators i.e. for 62,70,745 is 1.
Thus, LCM of Fractions is 130845.Finally, LCM of Fractions for 61/62, 39/70, 55/745 is 130845.