LCM of 811, 583, 901, 352
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 811, 583, 901, 352 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 811, 583, 901, 352. So, keep reading to learn more.
Given numbers are 811,583,901,352
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 811,583,901,352 is 257210272.
Find LCM of 811,583,901,352 with Prime Factorization
| 11 | 811, 583, 901, 352 |
| 53 | 811, 53, 901, 32 |
| 811, 1, 17, 32 |
Multiply the prime numbers at the bottom and the left side.
11 x 53 x 811 x 1 x 17 x 32 = 257210272
Therefore, the lowest common multiple of 811,583,901,352 is 257210272.
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.
811 x 583 x 901 x 352 = 149953588576
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.
811 : 1, 811
583 : 1, 11, 53, 583
901 : 1, 17, 53, 901
352 : 1, 2, 4, 8, 11, 16, 22, 32, 44, 88, 176, 352
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 811,583,901,352, is 1.
Now, the common factors can be found like this.
811:811
583:11x 53
901:17x 53
352:2x 2x 2x 2x 2x 11
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
11x 53 = 583
Therefore, the value for common factors is 583.
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 = 149953588576/(1x583)
LCM = 149953588576/583
LCM = 257210272
Thus, we can understand that the LCM of 811,583,901,352 is 257210272.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 811, 583, 901, 352
1. What is the LCM of 811, 583, 901, 352?
Answer: LCM of 811, 583, 901, 352 is 257210272.
2. How to calculate the LCM of 811, 583, 901, 352?
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 811, 583, 901, 352.
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}.