Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 734/81, 893/15, 925/87 quickly i.e. 606302350/3 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 734/81, 893/15, 925/87 is 606302350/3.
LCM(734/81, 893/15, 925/87) = 606302350/3
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 734/81,893/15,925/87
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 734,893,925
Least Common Multiple of Numerators i.e. LCM of 734,893,925 is 606302350.
GCF of Denominators means GCF of 81,15,87 as per the given fractions.
GCF of 81,15,87 is 3 as it is the largest common factor for these numbers.
Lets's calculate LCM of 734,893,925
Given numbers has no common factors except 1. So, there LCM is their product i.e 606302350
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 734,893,925 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(734,893,925) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(734,893,925) x common factors =1 x 1 = 1
LCM(734,893,925) = ( 734 × 893 × 925 ) / 1
LCM(734,893,925) = 606302350 / 1
LCM(734,893,925) = 606302350
Lets's calculate GCF of 81,15,87
3 | 81, 15, 87 |
27, 5, 29 |
∴ So the GCF of the given numbers is 3 = 3
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 606302350/3
Therefore the LCM of Fractions 734/81,893/15,925/87 is 606302350/3
Factors of 81
List of positive integer factors of 81 that divides 81 without a remainder.
1,3,9,27,81
Factors of 15
List of positive integer factors of 15 that divides 15 without a remainder.
1,3,5,15
Factors of 87
List of positive integer factors of 87 that divides 87 without a remainder.
1,3,29,87
Greatest Common Factor
We found the factors 81,15,87 . The biggest common factor number is the GCF number.
So the greatest common factor 81,15,87 is 3.
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 734/81, 893/15, 925/87?
Answer: LCM of Numerators as per given numbers 734/81, 893/15, 925/87 is
LCM of Numerators i.e. for 734,893,925 is 606302350
GCF of denominators i.e. for 81,15,87 is 3.
Thus, LCM of Fractions is 606302350/3.Finally, LCM of Fractions for 734/81, 893/15, 925/87 is 606302350/3.