Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 45/134, 91/720, 710/433 quickly i.e. 581490 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 45/134, 91/720, 710/433 is 581490.
LCM(45/134, 91/720, 710/433) = 581490
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 45/134,91/720,710/433
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 45,91,710
Least Common Multiple of Numerators i.e. LCM of 45,91,710 is 581490.
GCF of Denominators means GCF of 134,720,433 as per the given fractions.
GCF of 134,720,433 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 45,91,710
5 | 45, 91, 710 |
9, 91, 142 |
∴ So the LCM of the given numbers is 5 x 9 x 91 x 142 = 581490
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 45,91,710 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(45,91,710) = 1
common factors(in case of two or more numbers have common factors) = 5
GCF(45,91,710) x common factors =1 x 5 = 5
LCM(45,91,710) = ( 45 × 91 × 710 ) / 5
LCM(45,91,710) = 2907450 / 5
LCM(45,91,710) = 581490
Lets's calculate GCF of 134,720,433
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 581490/1
Therefore the LCM of Fractions 45/134,91/720,710/433 is 581490
Factors of 134
List of positive integer factors of 134 that divides 134 without a remainder.
1,2,67,134
Factors of 720
List of positive integer factors of 720 that divides 720 without a remainder.
1,2,3,4,5,6,8,9,10,12,15,16,18,20,24,30,36,40,45,48,60,72,80,90,120,144,180,240,360,720
Factors of 433
List of positive integer factors of 433 that divides 433 without a remainder.
1,433
Greatest Common Factor
We found the factors 134,720,433 . The biggest common factor number is the GCF number.
So the greatest common factor 134,720,433 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 45/134, 91/720, 710/433?
Answer: LCM of Numerators as per given numbers 45/134, 91/720, 710/433 is
LCM of Numerators i.e. for 45,91,710 is 581490
GCF of denominators i.e. for 134,720,433 is 1.
Thus, LCM of Fractions is 581490.Finally, LCM of Fractions for 45/134, 91/720, 710/433 is 581490.