Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 36/871, 71/696, 382/451 quickly i.e. 488196 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 36/871, 71/696, 382/451 is 488196.
LCM(36/871, 71/696, 382/451) = 488196
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 36/871,71/696,382/451
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 36,71,382
Least Common Multiple of Numerators i.e. LCM of 36,71,382 is 488196.
GCF of Denominators means GCF of 871,696,451 as per the given fractions.
GCF of 871,696,451 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 36,71,382
2 | 36, 71, 382 |
18, 71, 191 |
∴ So the LCM of the given numbers is 2 x 18 x 71 x 191 = 488196
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 36,71,382 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(36,71,382) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(36,71,382) x common factors =1 x 2 = 2
LCM(36,71,382) = ( 36 × 71 × 382 ) / 2
LCM(36,71,382) = 976392 / 2
LCM(36,71,382) = 488196
Lets's calculate GCF of 871,696,451
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 488196/1
Therefore the LCM of Fractions 36/871,71/696,382/451 is 488196
Factors of 871
List of positive integer factors of 871 that divides 871 without a remainder.
1,13,67,871
Factors of 696
List of positive integer factors of 696 that divides 696 without a remainder.
1,2,3,4,6,8,12,24,29,58,87,116,174,232,348,696
Factors of 451
List of positive integer factors of 451 that divides 451 without a remainder.
1,11,41,451
Greatest Common Factor
We found the factors 871,696,451 . The biggest common factor number is the GCF number.
So the greatest common factor 871,696,451 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 36/871, 71/696, 382/451?
Answer: LCM of Numerators as per given numbers 36/871, 71/696, 382/451 is
LCM of Numerators i.e. for 36,71,382 is 488196
GCF of denominators i.e. for 871,696,451 is 1.
Thus, LCM of Fractions is 488196.Finally, LCM of Fractions for 36/871, 71/696, 382/451 is 488196.