LCM of 724, 682, 302, 724, 363
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 724, 682, 302, 724, 363 with the LCM of Two or More Numbers Calculator. Here we are teaching you two different methods through which you can calculate the LCM of 724, 682, 302, 724, 363. So, keep reading to learn more.
Given numbers are 724,682,302,724,363
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 724,682,302,724,363 is 1230222972.
Find LCM of 724,682,302,724,363 with Prime Factorization
| 2 | 724, 682, 302, 724, 363 |
| 2 | 362, 341, 151, 362, 363 |
| 11 | 181, 341, 151, 181, 363 |
| 181 | 181, 31, 151, 181, 33 |
| 1, 31, 151, 1, 33 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 11 x 181 x 1 x 31 x 151 x 1 x 33 = 1230222972
Therefore, the lowest common multiple of 724,682,302,724,363 is 1230222972.
LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}
Firstly, we have to find the product of all the numbers.
724 x 682 x 302 x 724 x 363 = 39189982996032
Then, let us find the GCF of these five numbers. To do so, we have to list down the factors for each number and choose the highest factor that is in all of the lists.
724 : 1, 2, 4, 181, 362, 724
682 : 1, 2, 11, 22, 31, 62, 341, 682
302 : 1, 2, 151, 302
724 : 1, 2, 4, 181, 362, 724
363 : 1, 3, 11, 33, 121, 363
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 724,682,302,724,363, is 1.
Now, the common factors can be found like this.
724:2x 2x 181
682:2x 11x 31
302:2x 151
724:2x 2x 181
363:3x 11x 11
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 2x 2x 2x 11x 181 = 31856
Therefore, the value for common factors is 31856.
Now that we have all the elements of the formula, we can plug them in to calculate the LCM.
LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}
LCM = 39189982996032/(1x31856)
LCM = 39189982996032/31856
LCM = 1230222972
Thus, we can understand that the LCM of 724,682,302,724,363 is 1230222972.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 724, 682, 302, 724, 363
1. What is the LCM of 724, 682, 302, 724, 363?
Answer: LCM of 724, 682, 302, 724, 363 is 1230222972.
2. How to calculate the LCM of 724, 682, 302, 724, 363?
The LCM can be found using two methods. You can either use the LCM formula or the prime factorization method to calculate the LCM of 724, 682, 302, 724, 363.
3. What is the LCM formula?
The LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}.