Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 871/233, 680/149 quickly i.e. 592280 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 871/233, 680/149 is 592280.
LCM(871/233, 680/149) = 592280
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 871/233,680/149
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 871,680
Least Common Multiple of Numerators i.e. LCM of 871,680 is 592280.
GCF of Denominators means GCF of 233,149 as per the given fractions.
GCF of 233,149 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 871,680
Given numbers has no common factors except 1. So, there LCM is their product i.e 592280
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 871,680 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(871,680) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(871,680) x common factors =1 x 1 = 1
LCM(871,680) = ( 871 × 680 ) / 1
LCM(871,680) = 592280 / 1
LCM(871,680) = 592280
Lets's calculate GCF of 233,149
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 592280/1
Therefore the LCM of Fractions 871/233,680/149 is 592280
Factors of 233
List of positive integer factors of 233 that divides 233 without a remainder.
1,233
Factors of 149
List of positive integer factors of 149 that divides 149 without a remainder.
1,149
Greatest Common Factor
We found the factors 233,149 . The biggest common factor number is the GCF number.
So the greatest common factor 233,149 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 871/233, 680/149?
Answer: LCM of Numerators as per given numbers 871/233, 680/149 is
LCM of Numerators i.e. for 871,680 is 592280
GCF of denominators i.e. for 233,149 is 1.
Thus, LCM of Fractions is 592280.Finally, LCM of Fractions for 871/233, 680/149 is 592280.