LCM of 262, 642, 524, 468, 445
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 262, 642, 524, 468, 445 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 262, 642, 524, 468, 445. So, keep reading to learn more.
Given numbers are 262,642,524,468,445
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 262,642,524,468,445 is 2919180420.
Find LCM of 262,642,524,468,445 with Prime Factorization
| 2 | 262, 642, 524, 468, 445 |
| 2 | 131, 321, 262, 234, 445 |
| 3 | 131, 321, 131, 117, 445 |
| 131 | 131, 107, 131, 39, 445 |
| 1, 107, 1, 39, 445 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 131 x 1 x 107 x 1 x 39 x 445 = 2919180420
Therefore, the lowest common multiple of 262,642,524,468,445 is 2919180420.
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.
262 x 642 x 524 x 468 x 445 = 18355806480960
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.
262 : 1, 2, 131, 262
642 : 1, 2, 3, 6, 107, 214, 321, 642
524 : 1, 2, 4, 131, 262, 524
468 : 1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468
445 : 1, 5, 89, 445
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 262,642,524,468,445, is 1.
Now, the common factors can be found like this.
262:2x 131
642:2x 3x 107
524:2x 2x 131
468:2x 2x 3x 3x 13
445:5x 89
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 131 = 6288
Therefore, the value for common factors is 6288.
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 = 18355806480960/(1x6288)
LCM = 18355806480960/6288
LCM = 2919180420
Thus, we can understand that the LCM of 262,642,524,468,445 is 2919180420.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 262, 642, 524, 468, 445
1. What is the LCM of 262, 642, 524, 468, 445?
Answer: LCM of 262, 642, 524, 468, 445 is 2919180420.
2. How to calculate the LCM of 262, 642, 524, 468, 445?
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 262, 642, 524, 468, 445.
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}.