Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 40/421, 57/277, 969/111 quickly i.e. 38760 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 40/421, 57/277, 969/111 is 38760.
LCM(40/421, 57/277, 969/111) = 38760
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 40/421,57/277,969/111
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 40,57,969
Least Common Multiple of Numerators i.e. LCM of 40,57,969 is 38760.
GCF of Denominators means GCF of 421,277,111 as per the given fractions.
GCF of 421,277,111 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 40,57,969
3 | 40, 57, 969 |
19 | 40, 19, 323 |
40, 1, 17 |
∴ So the LCM of the given numbers is 3 x 19 x 40 x 1 x 17 = 38760
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 40,57,969 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(40,57,969) = 1
common factors(in case of two or more numbers have common factors) = 57
GCF(40,57,969) x common factors =1 x 57 = 57
LCM(40,57,969) = ( 40 × 57 × 969 ) / 57
LCM(40,57,969) = 2209320 / 57
LCM(40,57,969) = 38760
Lets's calculate GCF of 421,277,111
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 38760/1
Therefore the LCM of Fractions 40/421,57/277,969/111 is 38760
Factors of 421
List of positive integer factors of 421 that divides 421 without a remainder.
1,421
Factors of 277
List of positive integer factors of 277 that divides 277 without a remainder.
1,277
Factors of 111
List of positive integer factors of 111 that divides 111 without a remainder.
1,3,37,111
Greatest Common Factor
We found the factors 421,277,111 . The biggest common factor number is the GCF number.
So the greatest common factor 421,277,111 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 40/421, 57/277, 969/111?
Answer: LCM of Numerators as per given numbers 40/421, 57/277, 969/111 is
LCM of Numerators i.e. for 40,57,969 is 38760
GCF of denominators i.e. for 421,277,111 is 1.
Thus, LCM of Fractions is 38760.Finally, LCM of Fractions for 40/421, 57/277, 969/111 is 38760.