Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 31/84, 71/41, 25/52, 49/846 quickly i.e. 2696225 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 31/84, 71/41, 25/52, 49/846 is 2696225.
LCM(31/84, 71/41, 25/52, 49/846) = 2696225
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 31/84,71/41,25/52,49/846
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 31,71,25,49
Least Common Multiple of Numerators i.e. LCM of 31,71,25,49 is 2696225.
GCF of Denominators means GCF of 84,41,52,846 as per the given fractions.
GCF of 84,41,52,846 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 31,71,25,49
Given numbers has no common factors except 1. So, there LCM is their product i.e 2696225
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 31,71,25,49 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(31,71,25,49) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(31,71,25,49) x common factors =1 x 1 = 1
LCM(31,71,25,49) = ( 31 × 71 × 25 × 49 ) / 1
LCM(31,71,25,49) = 2696225 / 1
LCM(31,71,25,49) = 2696225
Lets's calculate GCF of 84,41,52,846
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2696225/1
Therefore the LCM of Fractions 31/84,71/41,25/52,49/846 is 2696225
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 41
List of positive integer factors of 41 that divides 41 without a remainder.
1,41
Factors of 52
List of positive integer factors of 52 that divides 52 without a remainder.
1,2,4,13,26,52
Factors of 846
List of positive integer factors of 846 that divides 846 without a remainder.
1,2,3,6,9,18,47,94,141,282,423,846
Greatest Common Factor
We found the factors 84,41,52,846 . The biggest common factor number is the GCF number.
So the greatest common factor 84,41,52,846 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 31/84, 71/41, 25/52, 49/846?
Answer: LCM of Numerators as per given numbers 31/84, 71/41, 25/52, 49/846 is
LCM of Numerators i.e. for 31,71,25,49 is 2696225
GCF of denominators i.e. for 84,41,52,846 is 1.
Thus, LCM of Fractions is 2696225.Finally, LCM of Fractions for 31/84, 71/41, 25/52, 49/846 is 2696225.