Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 759/74, 886/8366 quickly i.e. 336237 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 759/74, 886/8366 is 336237.
LCM(759/74, 886/8366) = 336237
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 759/74,886/8366
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 759,886
Least Common Multiple of Numerators i.e. LCM of 759,886 is 672474.
GCF of Denominators means GCF of 74,8366 as per the given fractions.
GCF of 74,8366 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 759,886
Given numbers has no common factors except 1. So, there LCM is their product i.e 672474
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 759,886 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(759,886) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(759,886) x common factors =1 x 1 = 1
LCM(759,886) = ( 759 × 886 ) / 1
LCM(759,886) = 672474 / 1
LCM(759,886) = 672474
Lets's calculate GCF of 74,8366
2 | 74, 8366 |
37, 4183 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 672474/2
Therefore the LCM of Fractions 759/74,886/8366 is 336237
Factors of 74
List of positive integer factors of 74 that divides 74 without a remainder.
1,2,37,74
Factors of 8366
List of positive integer factors of 8366 that divides 8366 without a remainder.
1,2,47,89,94,178,4183,8366
Greatest Common Factor
We found the factors 74,8366 . The biggest common factor number is the GCF number.
So the greatest common factor 74,8366 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 759/74, 886/8366?
Answer: LCM of Numerators as per given numbers 759/74, 886/8366 is
LCM of Numerators i.e. for 759,886 is 672474
GCF of denominators i.e. for 74,8366 is 2.
Thus, LCM of Fractions is 336237.Finally, LCM of Fractions for 759/74, 886/8366 is 336237.