Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 86/160, 941/998, 804/278 quickly i.e. 16266126 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 86/160, 941/998, 804/278 is 16266126.
LCM(86/160, 941/998, 804/278) = 16266126
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 86/160,941/998,804/278
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 86,941,804
Least Common Multiple of Numerators i.e. LCM of 86,941,804 is 32532252.
GCF of Denominators means GCF of 160,998,278 as per the given fractions.
GCF of 160,998,278 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 86,941,804
2 | 86, 941, 804 |
43, 941, 402 |
∴ So the LCM of the given numbers is 2 x 43 x 941 x 402 = 32532252
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 86,941,804 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(86,941,804) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(86,941,804) x common factors =1 x 2 = 2
LCM(86,941,804) = ( 86 × 941 × 804 ) / 2
LCM(86,941,804) = 65064504 / 2
LCM(86,941,804) = 32532252
Lets's calculate GCF of 160,998,278
2 | 160, 998, 278 |
80, 499, 139 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 32532252/2
Therefore the LCM of Fractions 86/160,941/998,804/278 is 16266126
Factors of 160
List of positive integer factors of 160 that divides 160 without a remainder.
1,2,4,5,8,10,16,20,32,40,80,160
Factors of 998
List of positive integer factors of 998 that divides 998 without a remainder.
1,2,499,998
Factors of 278
List of positive integer factors of 278 that divides 278 without a remainder.
1,2,139,278
Greatest Common Factor
We found the factors 160,998,278 . The biggest common factor number is the GCF number.
So the greatest common factor 160,998,278 is 2.
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 86/160, 941/998, 804/278?
Answer: LCM of Numerators as per given numbers 86/160, 941/998, 804/278 is
LCM of Numerators i.e. for 86,941,804 is 32532252
GCF of denominators i.e. for 160,998,278 is 2.
Thus, LCM of Fractions is 16266126.Finally, LCM of Fractions for 86/160, 941/998, 804/278 is 16266126.