LCM of 372, 306, 914, 697, 468
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 372, 306, 914, 697, 468 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 372, 306, 914, 697, 468. So, keep reading to learn more.
Given numbers are 372,306,914,697,468
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 372,306,914,697,468 is 4621218732.
Find LCM of 372,306,914,697,468 with Prime Factorization
| 2 | 372, 306, 914, 697, 468 |
| 2 | 186, 153, 457, 697, 234 |
| 3 | 93, 153, 457, 697, 117 |
| 3 | 31, 51, 457, 697, 39 |
| 17 | 31, 17, 457, 697, 13 |
| 31, 1, 457, 41, 13 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 17 x 31 x 1 x 457 x 41 x 13 = 4621218732
Therefore, the lowest common multiple of 372,306,914,697,468 is 4621218732.
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.
372 x 306 x 914 x 697 x 468 = 33938230367808
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.
372 : 1, 2, 3, 4, 6, 12, 31, 62, 93, 124, 186, 372
306 : 1, 2, 3, 6, 9, 17, 18, 34, 51, 102, 153, 306
914 : 1, 2, 457, 914
697 : 1, 17, 41, 697
468 : 1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 372,306,914,697,468, is 1.
Now, the common factors can be found like this.
372:2x 2x 3x 31
306:2x 3x 3x 17
914:2x 457
697:17x 41
468:2x 2x 3x 3x 13
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 3x 3x 3x 17 = 7344
Therefore, the value for common factors is 7344.
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 = 33938230367808/(1x7344)
LCM = 33938230367808/7344
LCM = 4621218732
Thus, we can understand that the LCM of 372,306,914,697,468 is 4621218732.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 372, 306, 914, 697, 468
1. What is the LCM of 372, 306, 914, 697, 468?
Answer: LCM of 372, 306, 914, 697, 468 is 4621218732.
2. How to calculate the LCM of 372, 306, 914, 697, 468?
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 372, 306, 914, 697, 468.
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}.