Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 261/387, 4088/8536 quickly i.e. 1066968 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 261/387, 4088/8536 is 1066968.
LCM(261/387, 4088/8536) = 1066968
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 261/387,4088/8536
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 261,4088
Least Common Multiple of Numerators i.e. LCM of 261,4088 is 1066968.
GCF of Denominators means GCF of 387,8536 as per the given fractions.
GCF of 387,8536 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 261,4088
Given numbers has no common factors except 1. So, there LCM is their product i.e 1066968
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 261,4088 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(261,4088) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(261,4088) x common factors =1 x 1 = 1
LCM(261,4088) = ( 261 × 4088 ) / 1
LCM(261,4088) = 1066968 / 1
LCM(261,4088) = 1066968
Lets's calculate GCF of 387,8536
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1066968/1
Therefore the LCM of Fractions 261/387,4088/8536 is 1066968
Factors of 387
List of positive integer factors of 387 that divides 387 without a remainder.
1,3,9,43,129,387
Factors of 8536
List of positive integer factors of 8536 that divides 8536 without a remainder.
1,2,4,8,11,22,44,88,97,194,388,776,1067,2134,4268,8536
Greatest Common Factor
We found the factors 387,8536 . The biggest common factor number is the GCF number.
So the greatest common factor 387,8536 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 261/387, 4088/8536?
Answer: LCM of Numerators as per given numbers 261/387, 4088/8536 is
LCM of Numerators i.e. for 261,4088 is 1066968
GCF of denominators i.e. for 387,8536 is 1.
Thus, LCM of Fractions is 1066968.Finally, LCM of Fractions for 261/387, 4088/8536 is 1066968.