Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 7/678, 16/950, 69/284 quickly i.e. 3864 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 7/678, 16/950, 69/284 is 3864.
LCM(7/678, 16/950, 69/284) = 3864
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 7/678,16/950,69/284
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 7,16,69
Least Common Multiple of Numerators i.e. LCM of 7,16,69 is 7728.
GCF of Denominators means GCF of 678,950,284 as per the given fractions.
GCF of 678,950,284 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 7,16,69
Given numbers has no common factors except 1. So, there LCM is their product i.e 7728
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 7,16,69 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(7,16,69) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(7,16,69) x common factors =1 x 1 = 1
LCM(7,16,69) = ( 7 × 16 × 69 ) / 1
LCM(7,16,69) = 7728 / 1
LCM(7,16,69) = 7728
Lets's calculate GCF of 678,950,284
2 | 678, 950, 284 |
339, 475, 142 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 7728/2
Therefore the LCM of Fractions 7/678,16/950,69/284 is 3864
Factors of 678
List of positive integer factors of 678 that divides 678 without a remainder.
1,2,3,6,113,226,339,678
Factors of 950
List of positive integer factors of 950 that divides 950 without a remainder.
1,2,5,10,19,25,38,50,95,190,475,950
Factors of 284
List of positive integer factors of 284 that divides 284 without a remainder.
1,2,4,71,142,284
Greatest Common Factor
We found the factors 678,950,284 . The biggest common factor number is the GCF number.
So the greatest common factor 678,950,284 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 7/678, 16/950, 69/284?
Answer: LCM of Numerators as per given numbers 7/678, 16/950, 69/284 is
LCM of Numerators i.e. for 7,16,69 is 7728
GCF of denominators i.e. for 678,950,284 is 2.
Thus, LCM of Fractions is 3864.Finally, LCM of Fractions for 7/678, 16/950, 69/284 is 3864.