Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 72/618, 681/742, 696/384 quickly i.e. 236988 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 72/618, 681/742, 696/384 is 236988.
LCM(72/618, 681/742, 696/384) = 236988
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 72/618,681/742,696/384
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 72,681,696
Least Common Multiple of Numerators i.e. LCM of 72,681,696 is 473976.
GCF of Denominators means GCF of 618,742,384 as per the given fractions.
GCF of 618,742,384 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 72,681,696
2 | 72, 681, 696 |
2 | 36, 681, 348 |
2 | 18, 681, 174 |
3 | 9, 681, 87 |
3, 227, 29 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 3 x 227 x 29 = 473976
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 72,681,696 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(72,681,696) = 3
common factors(in case of two or more numbers have common factors) = 24
GCF(72,681,696) x common factors =3 x 24 = 72
LCM(72,681,696) = ( 72 × 681 × 696 ) / 72
LCM(72,681,696) = 34126272 / 72
LCM(72,681,696) = 473976
Lets's calculate GCF of 618,742,384
2 | 618, 742, 384 |
309, 371, 192 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 473976/2
Therefore the LCM of Fractions 72/618,681/742,696/384 is 236988
Factors of 618
List of positive integer factors of 618 that divides 618 without a remainder.
1,2,3,6,103,206,309,618
Factors of 742
List of positive integer factors of 742 that divides 742 without a remainder.
1,2,7,14,53,106,371,742
Factors of 384
List of positive integer factors of 384 that divides 384 without a remainder.
1,2,3,4,6,8,12,16,24,32,48,64,96,128,192,384
Greatest Common Factor
We found the factors 618,742,384 . The biggest common factor number is the GCF number.
So the greatest common factor 618,742,384 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 72/618, 681/742, 696/384?
Answer: LCM of Numerators as per given numbers 72/618, 681/742, 696/384 is
LCM of Numerators i.e. for 72,681,696 is 473976
GCF of denominators i.e. for 618,742,384 is 2.
Thus, LCM of Fractions is 236988.Finally, LCM of Fractions for 72/618, 681/742, 696/384 is 236988.