Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 800/92, 229/3611 quickly i.e. 183200/23 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 800/92, 229/3611 is 183200/23.
LCM(800/92, 229/3611) = 183200/23
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 800/92,229/3611
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 800,229
Least Common Multiple of Numerators i.e. LCM of 800,229 is 183200.
GCF of Denominators means GCF of 92,3611 as per the given fractions.
GCF of 92,3611 is 23 as it is the largest common factor for these numbers.
Lets's calculate LCM of 800,229
Given numbers has no common factors except 1. So, there LCM is their product i.e 183200
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 800,229 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(800,229) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(800,229) x common factors =1 x 1 = 1
LCM(800,229) = ( 800 × 229 ) / 1
LCM(800,229) = 183200 / 1
LCM(800,229) = 183200
Lets's calculate GCF of 92,3611
23 | 92, 3611 |
4, 157 |
∴ So the GCF of the given numbers is 23 = 23
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 183200/23
Therefore the LCM of Fractions 800/92,229/3611 is 183200/23
Factors of 92
List of positive integer factors of 92 that divides 92 without a remainder.
1,2,4,23,46,92
Factors of 3611
List of positive integer factors of 3611 that divides 3611 without a remainder.
1,23,157,3611
Greatest Common Factor
We found the factors 92,3611 . The biggest common factor number is the GCF number.
So the greatest common factor 92,3611 is 23.
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 800/92, 229/3611?
Answer: LCM of Numerators as per given numbers 800/92, 229/3611 is
LCM of Numerators i.e. for 800,229 is 183200
GCF of denominators i.e. for 92,3611 is 23.
Thus, LCM of Fractions is 183200/23.Finally, LCM of Fractions for 800/92, 229/3611 is 183200/23.