Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 994/328, 5851/5430 quickly i.e. 2907947 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 994/328, 5851/5430 is 2907947.
LCM(994/328, 5851/5430) = 2907947
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 994/328,5851/5430
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 994,5851
Least Common Multiple of Numerators i.e. LCM of 994,5851 is 5815894.
GCF of Denominators means GCF of 328,5430 as per the given fractions.
GCF of 328,5430 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 994,5851
Given numbers has no common factors except 1. So, there LCM is their product i.e 5815894
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 994,5851 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(994,5851) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(994,5851) x common factors =1 x 1 = 1
LCM(994,5851) = ( 994 × 5851 ) / 1
LCM(994,5851) = 5815894 / 1
LCM(994,5851) = 5815894
Lets's calculate GCF of 328,5430
2 | 328, 5430 |
164, 2715 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5815894/2
Therefore the LCM of Fractions 994/328,5851/5430 is 2907947
Factors of 328
List of positive integer factors of 328 that divides 328 without a remainder.
1,2,4,8,41,82,164,328
Factors of 5430
List of positive integer factors of 5430 that divides 5430 without a remainder.
1,2,3,5,6,10,15,30,181,362,543,905,1086,1810,2715,5430
Greatest Common Factor
We found the factors 328,5430 . The biggest common factor number is the GCF number.
So the greatest common factor 328,5430 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 994/328, 5851/5430?
Answer: LCM of Numerators as per given numbers 994/328, 5851/5430 is
LCM of Numerators i.e. for 994,5851 is 5815894
GCF of denominators i.e. for 328,5430 is 2.
Thus, LCM of Fractions is 2907947.Finally, LCM of Fractions for 994/328, 5851/5430 is 2907947.