Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 641/158, 1998/500 quickly i.e. 640359 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 641/158, 1998/500 is 640359.
LCM(641/158, 1998/500) = 640359
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 641/158,1998/500
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 641,1998
Least Common Multiple of Numerators i.e. LCM of 641,1998 is 1280718.
GCF of Denominators means GCF of 158,500 as per the given fractions.
GCF of 158,500 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 641,1998
Given numbers has no common factors except 1. So, there LCM is their product i.e 1280718
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 641,1998 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(641,1998) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(641,1998) x common factors =1 x 1 = 1
LCM(641,1998) = ( 641 × 1998 ) / 1
LCM(641,1998) = 1280718 / 1
LCM(641,1998) = 1280718
Lets's calculate GCF of 158,500
2 | 158, 500 |
79, 250 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1280718/2
Therefore the LCM of Fractions 641/158,1998/500 is 640359
Factors of 158
List of positive integer factors of 158 that divides 158 without a remainder.
1,2,79,158
Factors of 500
List of positive integer factors of 500 that divides 500 without a remainder.
1,2,4,5,10,20,25,50,100,125,250,500
Greatest Common Factor
We found the factors 158,500 . The biggest common factor number is the GCF number.
So the greatest common factor 158,500 is 2.
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 641/158, 1998/500?
Answer: LCM of Numerators as per given numbers 641/158, 1998/500 is
LCM of Numerators i.e. for 641,1998 is 1280718
GCF of denominators i.e. for 158,500 is 2.
Thus, LCM of Fractions is 640359.Finally, LCM of Fractions for 641/158, 1998/500 is 640359.