Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 237/387, 251/975 quickly i.e. 19829 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 237/387, 251/975 is 19829.
LCM(237/387, 251/975) = 19829
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 237/387,251/975
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 237,251
Least Common Multiple of Numerators i.e. LCM of 237,251 is 59487.
GCF of Denominators means GCF of 387,975 as per the given fractions.
GCF of 387,975 is 3 as it is the largest common factor for these numbers.
Lets's calculate LCM of 237,251
Given numbers has no common factors except 1. So, there LCM is their product i.e 59487
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 237,251 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(237,251) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(237,251) x common factors =1 x 1 = 1
LCM(237,251) = ( 237 × 251 ) / 1
LCM(237,251) = 59487 / 1
LCM(237,251) = 59487
Lets's calculate GCF of 387,975
3 | 387, 975 |
129, 325 |
∴ So the GCF of the given numbers is 3 = 3
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 59487/3
Therefore the LCM of Fractions 237/387,251/975 is 19829
Factors of 387
List of positive integer factors of 387 that divides 387 without a remainder.
1,3,9,43,129,387
Factors of 975
List of positive integer factors of 975 that divides 975 without a remainder.
1,3,5,13,15,25,39,65,75,195,325,975
Greatest Common Factor
We found the factors 387,975 . The biggest common factor number is the GCF number.
So the greatest common factor 387,975 is 3.
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 237/387, 251/975?
Answer: LCM of Numerators as per given numbers 237/387, 251/975 is
LCM of Numerators i.e. for 237,251 is 59487
GCF of denominators i.e. for 387,975 is 3.
Thus, LCM of Fractions is 19829.Finally, LCM of Fractions for 237/387, 251/975 is 19829.