Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 48/804, 88/681, 706/367 quickly i.e. 186384 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 48/804, 88/681, 706/367 is 186384.
LCM(48/804, 88/681, 706/367) = 186384
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 48/804,88/681,706/367
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 48,88,706
Least Common Multiple of Numerators i.e. LCM of 48,88,706 is 186384.
GCF of Denominators means GCF of 804,681,367 as per the given fractions.
GCF of 804,681,367 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 48,88,706
2 | 48, 88, 706 |
2 | 24, 44, 353 |
2 | 12, 22, 353 |
6, 11, 353 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 6 x 11 x 353 = 186384
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 48,88,706 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(48,88,706) = 2
common factors(in case of two or more numbers have common factors) = 8
GCF(48,88,706) x common factors =2 x 8 = 16
LCM(48,88,706) = ( 48 × 88 × 706 ) / 16
LCM(48,88,706) = 2982144 / 16
LCM(48,88,706) = 186384
Lets's calculate GCF of 804,681,367
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 186384/1
Therefore the LCM of Fractions 48/804,88/681,706/367 is 186384
Factors of 804
List of positive integer factors of 804 that divides 804 without a remainder.
1,2,3,4,6,12,67,134,201,268,402,804
Factors of 681
List of positive integer factors of 681 that divides 681 without a remainder.
1,3,227,681
Factors of 367
List of positive integer factors of 367 that divides 367 without a remainder.
1,367
Greatest Common Factor
We found the factors 804,681,367 . The biggest common factor number is the GCF number.
So the greatest common factor 804,681,367 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 48/804, 88/681, 706/367?
Answer: LCM of Numerators as per given numbers 48/804, 88/681, 706/367 is
LCM of Numerators i.e. for 48,88,706 is 186384
GCF of denominators i.e. for 804,681,367 is 1.
Thus, LCM of Fractions is 186384.Finally, LCM of Fractions for 48/804, 88/681, 706/367 is 186384.