Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 882/341, 3147/7940 quickly i.e. 925218 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 882/341, 3147/7940 is 925218.
LCM(882/341, 3147/7940) = 925218
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 882/341,3147/7940
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 882,3147
Least Common Multiple of Numerators i.e. LCM of 882,3147 is 925218.
GCF of Denominators means GCF of 341,7940 as per the given fractions.
GCF of 341,7940 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 882,3147
3 | 882, 3147 |
294, 1049 |
∴ So the LCM of the given numbers is 3 x 294 x 1049 = 925218
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 882,3147 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(882,3147) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(882,3147) x common factors =3 x 1 = 3
LCM(882,3147) = ( 882 × 3147 ) / 3
LCM(882,3147) = 2775654 / 3
LCM(882,3147) = 925218
Lets's calculate GCF of 341,7940
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 925218/1
Therefore the LCM of Fractions 882/341,3147/7940 is 925218
Factors of 341
List of positive integer factors of 341 that divides 341 without a remainder.
1,11,31,341
Factors of 7940
List of positive integer factors of 7940 that divides 7940 without a remainder.
1,2,4,5,10,20,397,794,1588,1985,3970,7940
Greatest Common Factor
We found the factors 341,7940 . The biggest common factor number is the GCF number.
So the greatest common factor 341,7940 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 882/341, 3147/7940?
Answer: LCM of Numerators as per given numbers 882/341, 3147/7940 is
LCM of Numerators i.e. for 882,3147 is 925218
GCF of denominators i.e. for 341,7940 is 1.
Thus, LCM of Fractions is 925218.Finally, LCM of Fractions for 882/341, 3147/7940 is 925218.