LCM of 810, 872, 363, 418, 874
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 810, 872, 363, 418, 874 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 810, 872, 363, 418, 874. So, keep reading to learn more.
Given numbers are 810,872,363,418,874
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 810,872,363,418,874 is 18674041320.
Find LCM of 810,872,363,418,874 with Prime Factorization
| 2 | 810, 872, 363, 418, 874 |
| 3 | 405, 436, 363, 209, 437 |
| 11 | 135, 436, 121, 209, 437 |
| 19 | 135, 436, 11, 19, 437 |
| 135, 436, 11, 1, 23 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 11 x 19 x 135 x 436 x 11 x 1 x 23 = 18674041320
Therefore, the lowest common multiple of 810,872,363,418,874 is 18674041320.
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.
810 x 872 x 363 x 418 x 874 = 93668991261120
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.
810 : 1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 81, 90, 135, 162, 270, 405, 810
872 : 1, 2, 4, 8, 109, 218, 436, 872
363 : 1, 3, 11, 33, 121, 363
418 : 1, 2, 11, 19, 22, 38, 209, 418
874 : 1, 2, 19, 23, 38, 46, 437, 874
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 810,872,363,418,874, is 1.
Now, the common factors can be found like this.
810:2x 3x 3x 3x 3x 5
872:2x 2x 2x 109
363:3x 11x 11
418:2x 11x 19
874:2x 19x 23
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 3x 11x 19 = 5016
Therefore, the value for common factors is 5016.
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 = 93668991261120/(1x5016)
LCM = 93668991261120/5016
LCM = 18674041320
Thus, we can understand that the LCM of 810,872,363,418,874 is 18674041320.
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FAQs on LCM of 810, 872, 363, 418, 874
1. What is the LCM of 810, 872, 363, 418, 874?
Answer: LCM of 810, 872, 363, 418, 874 is 18674041320.
2. How to calculate the LCM of 810, 872, 363, 418, 874?
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 810, 872, 363, 418, 874.
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}.