Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 78/644, 16/628, 940/918 quickly i.e. 73320 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 78/644, 16/628, 940/918 is 73320.
LCM(78/644, 16/628, 940/918) = 73320
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 78/644,16/628,940/918
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 78,16,940
Least Common Multiple of Numerators i.e. LCM of 78,16,940 is 146640.
GCF of Denominators means GCF of 644,628,918 as per the given fractions.
GCF of 644,628,918 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 78,16,940
2 | 78, 16, 940 |
2 | 39, 8, 470 |
39, 4, 235 |
∴ So the LCM of the given numbers is 2 x 2 x 39 x 4 x 235 = 146640
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 78,16,940 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(78,16,940) = 2
common factors(in case of two or more numbers have common factors) = 4
GCF(78,16,940) x common factors =2 x 4 = 8
LCM(78,16,940) = ( 78 × 16 × 940 ) / 8
LCM(78,16,940) = 1173120 / 8
LCM(78,16,940) = 146640
Lets's calculate GCF of 644,628,918
2 | 644, 628, 918 |
322, 314, 459 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 146640/2
Therefore the LCM of Fractions 78/644,16/628,940/918 is 73320
Factors of 644
List of positive integer factors of 644 that divides 644 without a remainder.
1,2,4,7,14,23,28,46,92,161,322,644
Factors of 628
List of positive integer factors of 628 that divides 628 without a remainder.
1,2,4,157,314,628
Factors of 918
List of positive integer factors of 918 that divides 918 without a remainder.
1,2,3,6,9,17,18,27,34,51,54,102,153,306,459,918
Greatest Common Factor
We found the factors 644,628,918 . The biggest common factor number is the GCF number.
So the greatest common factor 644,628,918 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 78/644, 16/628, 940/918?
Answer: LCM of Numerators as per given numbers 78/644, 16/628, 940/918 is
LCM of Numerators i.e. for 78,16,940 is 146640
GCF of denominators i.e. for 644,628,918 is 2.
Thus, LCM of Fractions is 73320.Finally, LCM of Fractions for 78/644, 16/628, 940/918 is 73320.