Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 5873/731, 6700/430 quickly i.e. 39349100/43 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 5873/731, 6700/430 is 39349100/43.
LCM(5873/731, 6700/430) = 39349100/43
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 5873/731,6700/430
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 5873,6700
Least Common Multiple of Numerators i.e. LCM of 5873,6700 is 39349100.
GCF of Denominators means GCF of 731,430 as per the given fractions.
GCF of 731,430 is 43 as it is the largest common factor for these numbers.
Lets's calculate LCM of 5873,6700
Given numbers has no common factors except 1. So, there LCM is their product i.e 39349100
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 5873,6700 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(5873,6700) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(5873,6700) x common factors =1 x 1 = 1
LCM(5873,6700) = ( 5873 × 6700 ) / 1
LCM(5873,6700) = 39349100 / 1
LCM(5873,6700) = 39349100
Lets's calculate GCF of 731,430
43 | 731, 430 |
17, 10 |
∴ So the GCF of the given numbers is 43 = 43
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 39349100/43
Therefore the LCM of Fractions 5873/731,6700/430 is 39349100/43
Factors of 731
List of positive integer factors of 731 that divides 731 without a remainder.
1,17,43,731
Factors of 430
List of positive integer factors of 430 that divides 430 without a remainder.
1,2,5,10,43,86,215,430
Greatest Common Factor
We found the factors 731,430 . The biggest common factor number is the GCF number.
So the greatest common factor 731,430 is 43.
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 5873/731, 6700/430?
Answer: LCM of Numerators as per given numbers 5873/731, 6700/430 is
LCM of Numerators i.e. for 5873,6700 is 39349100
GCF of denominators i.e. for 731,430 is 43.
Thus, LCM of Fractions is 39349100/43.Finally, LCM of Fractions for 5873/731, 6700/430 is 39349100/43.