Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 58/64, 75/81, 62/742 quickly i.e. 134850 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 58/64, 75/81, 62/742 is 134850.
LCM(58/64, 75/81, 62/742) = 134850
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 58/64,75/81,62/742
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 58,75,62
Least Common Multiple of Numerators i.e. LCM of 58,75,62 is 134850.
GCF of Denominators means GCF of 64,81,742 as per the given fractions.
GCF of 64,81,742 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 58,75,62
2 | 58, 75, 62 |
29, 75, 31 |
∴ So the LCM of the given numbers is 2 x 29 x 75 x 31 = 134850
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 58,75,62 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(58,75,62) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(58,75,62) x common factors =1 x 2 = 2
LCM(58,75,62) = ( 58 × 75 × 62 ) / 2
LCM(58,75,62) = 269700 / 2
LCM(58,75,62) = 134850
Lets's calculate GCF of 64,81,742
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 134850/1
Therefore the LCM of Fractions 58/64,75/81,62/742 is 134850
Factors of 64
List of positive integer factors of 64 that divides 64 without a remainder.
1,2,4,8,16,32,64
Factors of 81
List of positive integer factors of 81 that divides 81 without a remainder.
1,3,9,27,81
Factors of 742
List of positive integer factors of 742 that divides 742 without a remainder.
1,2,7,14,53,106,371,742
Greatest Common Factor
We found the factors 64,81,742 . The biggest common factor number is the GCF number.
So the greatest common factor 64,81,742 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 58/64, 75/81, 62/742?
Answer: LCM of Numerators as per given numbers 58/64, 75/81, 62/742 is
LCM of Numerators i.e. for 58,75,62 is 134850
GCF of denominators i.e. for 64,81,742 is 1.
Thus, LCM of Fractions is 134850.Finally, LCM of Fractions for 58/64, 75/81, 62/742 is 134850.