Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 4077/681, 2916/985 quickly i.e. 440316 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 4077/681, 2916/985 is 440316.
LCM(4077/681, 2916/985) = 440316
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 4077/681,2916/985
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 4077,2916
Least Common Multiple of Numerators i.e. LCM of 4077,2916 is 440316.
GCF of Denominators means GCF of 681,985 as per the given fractions.
GCF of 681,985 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 4077,2916
3 | 4077, 2916 |
3 | 1359, 972 |
3 | 453, 324 |
151, 108 |
∴ So the LCM of the given numbers is 3 x 3 x 3 x 151 x 108 = 440316
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 4077,2916 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(4077,2916) = 27
common factors(in case of two or more numbers have common factors) = 1
GCF(4077,2916) x common factors =27 x 1 = 27
LCM(4077,2916) = ( 4077 × 2916 ) / 27
LCM(4077,2916) = 11888532 / 27
LCM(4077,2916) = 440316
Lets's calculate GCF of 681,985
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 440316/1
Therefore the LCM of Fractions 4077/681,2916/985 is 440316
Factors of 681
List of positive integer factors of 681 that divides 681 without a remainder.
1,3,227,681
Factors of 985
List of positive integer factors of 985 that divides 985 without a remainder.
1,5,197,985
Greatest Common Factor
We found the factors 681,985 . The biggest common factor number is the GCF number.
So the greatest common factor 681,985 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 4077/681, 2916/985?
Answer: LCM of Numerators as per given numbers 4077/681, 2916/985 is
LCM of Numerators i.e. for 4077,2916 is 440316
GCF of denominators i.e. for 681,985 is 1.
Thus, LCM of Fractions is 440316.Finally, LCM of Fractions for 4077/681, 2916/985 is 440316.