LCM of 501, 272, 286, 442, 533
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 501, 272, 286, 442, 533 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 501, 272, 286, 442, 533. So, keep reading to learn more.
Given numbers are 501,272,286,442,533
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 501,272,286,442,533 is 798962736.
Find LCM of 501,272,286,442,533 with Prime Factorization
| 2 | 501, 272, 286, 442, 533 |
| 13 | 501, 136, 143, 221, 533 |
| 17 | 501, 136, 11, 17, 41 |
| 501, 8, 11, 1, 41 |
Multiply the prime numbers at the bottom and the left side.
2 x 13 x 17 x 501 x 8 x 11 x 1 x 41 = 798962736
Therefore, the lowest common multiple of 501,272,286,442,533 is 798962736.
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.
501 x 272 x 286 x 442 x 533 = 9181679762112
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.
501 : 1, 3, 167, 501
272 : 1, 2, 4, 8, 16, 17, 34, 68, 136, 272
286 : 1, 2, 11, 13, 22, 26, 143, 286
442 : 1, 2, 13, 17, 26, 34, 221, 442
533 : 1, 13, 41, 533
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 501,272,286,442,533, is 1.
Now, the common factors can be found like this.
501:3x 167
272:2x 2x 2x 2x 17
286:2x 11x 13
442:2x 13x 17
533:13x 41
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 13x 13x 17 = 11492
Therefore, the value for common factors is 11492.
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 = 9181679762112/(1x11492)
LCM = 9181679762112/11492
LCM = 798962736
Thus, we can understand that the LCM of 501,272,286,442,533 is 798962736.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 501, 272, 286, 442, 533
1. What is the LCM of 501, 272, 286, 442, 533?
Answer: LCM of 501, 272, 286, 442, 533 is 798962736.
2. How to calculate the LCM of 501, 272, 286, 442, 533?
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 501, 272, 286, 442, 533.
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}.