Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 86/376, 8673/8068 quickly i.e. 745878/4 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 86/376, 8673/8068 is 745878/4.
LCM(86/376, 8673/8068) = 745878/4
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 86/376,8673/8068
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 86,8673
Least Common Multiple of Numerators i.e. LCM of 86,8673 is 745878.
GCF of Denominators means GCF of 376,8068 as per the given fractions.
GCF of 376,8068 is 4 as it is the largest common factor for these numbers.
Lets's calculate LCM of 86,8673
Given numbers has no common factors except 1. So, there LCM is their product i.e 745878
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 86,8673 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(86,8673) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(86,8673) x common factors =1 x 1 = 1
LCM(86,8673) = ( 86 × 8673 ) / 1
LCM(86,8673) = 745878 / 1
LCM(86,8673) = 745878
Lets's calculate GCF of 376,8068
2 | 376, 8068 |
2 | 188, 4034 |
94, 2017 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 745878/4
Therefore the LCM of Fractions 86/376,8673/8068 is 745878/4
Factors of 376
List of positive integer factors of 376 that divides 376 without a remainder.
1,2,4,8,47,94,188,376
Factors of 8068
List of positive integer factors of 8068 that divides 8068 without a remainder.
1,2,4,2017,4034,8068
Greatest Common Factor
We found the factors 376,8068 . The biggest common factor number is the GCF number.
So the greatest common factor 376,8068 is 4.
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 86/376, 8673/8068?
Answer: LCM of Numerators as per given numbers 86/376, 8673/8068 is
LCM of Numerators i.e. for 86,8673 is 745878
GCF of denominators i.e. for 376,8068 is 4.
Thus, LCM of Fractions is 745878/4.Finally, LCM of Fractions for 86/376, 8673/8068 is 745878/4.