LCM of 814, 718, 359, 954, 169
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 814, 718, 359, 954, 169 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 814, 718, 359, 954, 169. So, keep reading to learn more.
Given numbers are 814,718,359,954,169
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 814,718,359,954,169 is 23557214538.
Find LCM of 814,718,359,954,169 with Prime Factorization
| 2 | 814, 718, 359, 954, 169 |
| 359 | 407, 359, 359, 477, 169 |
| 407, 1, 1, 477, 169 |
Multiply the prime numbers at the bottom and the left side.
2 x 359 x 407 x 1 x 1 x 477 x 169 = 23557214538
Therefore, the lowest common multiple of 814,718,359,954,169 is 23557214538.
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.
814 x 718 x 359 x 954 x 169 = 33828160076568
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.
814 : 1, 2, 11, 22, 37, 74, 407, 814
718 : 1, 2, 359, 718
359 : 1, 359
954 : 1, 2, 3, 6, 9, 18, 53, 106, 159, 318, 477, 954
169 : 1, 13, 169
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 814,718,359,954,169, is 1.
Now, the common factors can be found like this.
814:2x 11x 37
718:2x 359
359:359
954:2x 3x 3x 53
169:13x 13
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 359 = 1436
Therefore, the value for common factors is 1436.
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 = 33828160076568/(1x1436)
LCM = 33828160076568/1436
LCM = 23557214538
Thus, we can understand that the LCM of 814,718,359,954,169 is 23557214538.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 814, 718, 359, 954, 169
1. What is the LCM of 814, 718, 359, 954, 169?
Answer: LCM of 814, 718, 359, 954, 169 is 23557214538.
2. How to calculate the LCM of 814, 718, 359, 954, 169?
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 814, 718, 359, 954, 169.
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}.