Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 424/84, 933/3177 quickly i.e. 131864 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 424/84, 933/3177 is 131864.
LCM(424/84, 933/3177) = 131864
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 424/84,933/3177
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 424,933
Least Common Multiple of Numerators i.e. LCM of 424,933 is 395592.
GCF of Denominators means GCF of 84,3177 as per the given fractions.
GCF of 84,3177 is 3 as it is the largest common factor for these numbers.
Lets's calculate LCM of 424,933
Given numbers has no common factors except 1. So, there LCM is their product i.e 395592
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 424,933 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(424,933) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(424,933) x common factors =1 x 1 = 1
LCM(424,933) = ( 424 × 933 ) / 1
LCM(424,933) = 395592 / 1
LCM(424,933) = 395592
Lets's calculate GCF of 84,3177
3 | 84, 3177 |
28, 1059 |
∴ So the GCF of the given numbers is 3 = 3
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 395592/3
Therefore the LCM of Fractions 424/84,933/3177 is 131864
Factors of 84
List of positive integer factors of 84 that divides 84 without a remainder.
1,2,3,4,6,7,12,14,21,28,42,84
Factors of 3177
List of positive integer factors of 3177 that divides 3177 without a remainder.
1,3,9,353,1059,3177
Greatest Common Factor
We found the factors 84,3177 . The biggest common factor number is the GCF number.
So the greatest common factor 84,3177 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 424/84, 933/3177?
Answer: LCM of Numerators as per given numbers 424/84, 933/3177 is
LCM of Numerators i.e. for 424,933 is 395592
GCF of denominators i.e. for 84,3177 is 3.
Thus, LCM of Fractions is 131864.Finally, LCM of Fractions for 424/84, 933/3177 is 131864.