LCM of 368, 808, 505, 437, 528
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 368, 808, 505, 437, 528 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 368, 808, 505, 437, 528. So, keep reading to learn more.
Given numbers are 368,808,505,437,528
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 368,808,505,437,528 is 116521680.
Find LCM of 368,808,505,437,528 with Prime Factorization
| 2 | 368, 808, 505, 437, 528 |
| 2 | 184, 404, 505, 437, 264 |
| 2 | 92, 202, 505, 437, 132 |
| 2 | 46, 101, 505, 437, 66 |
| 23 | 23, 101, 505, 437, 33 |
| 101 | 1, 101, 505, 19, 33 |
| 1, 1, 5, 19, 33 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 23 x 101 x 1 x 1 x 5 x 19 x 33 = 116521680
Therefore, the lowest common multiple of 368,808,505,437,528 is 116521680.
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.
368 x 808 x 505 x 437 x 528 = 34647022417920
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.
368 : 1, 2, 4, 8, 16, 23, 46, 92, 184, 368
808 : 1, 2, 4, 8, 101, 202, 404, 808
505 : 1, 5, 101, 505
437 : 1, 19, 23, 437
528 : 1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 33, 44, 48, 66, 88, 132, 176, 264, 528
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 368,808,505,437,528, is 1.
Now, the common factors can be found like this.
368:2x 2x 2x 2x 23
808:2x 2x 2x 101
505:5x 101
437:19x 23
528:2x 2x 2x 2x 3x 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 2x 2x 2x 23x 101 = 297344
Therefore, the value for common factors is 297344.
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 = 34647022417920/(1x297344)
LCM = 34647022417920/297344
LCM = 116521680
Thus, we can understand that the LCM of 368,808,505,437,528 is 116521680.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 368, 808, 505, 437, 528
1. What is the LCM of 368, 808, 505, 437, 528?
Answer: LCM of 368, 808, 505, 437, 528 is 116521680.
2. How to calculate the LCM of 368, 808, 505, 437, 528?
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 368, 808, 505, 437, 528.
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}.