LCM of 816, 458, 845, 901, 340
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 816, 458, 845, 901, 340 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 816, 458, 845, 901, 340. So, keep reading to learn more.
Given numbers are 816,458,845,901,340
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 816,458,845,901,340 is 8368704240.
Find LCM of 816,458,845,901,340 with Prime Factorization
| 2 | 816, 458, 845, 901, 340 |
| 2 | 408, 229, 845, 901, 170 |
| 5 | 204, 229, 845, 901, 85 |
| 17 | 204, 229, 169, 901, 17 |
| 12, 229, 169, 53, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 5 x 17 x 12 x 229 x 169 x 53 x 1 = 8368704240
Therefore, the lowest common multiple of 816,458,845,901,340 is 8368704240.
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.
816 x 458 x 845 x 901 x 340 = 96742221014400
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.
816 : 1, 2, 3, 4, 6, 8, 12, 16, 17, 24, 34, 48, 51, 68, 102, 136, 204, 272, 408, 816
458 : 1, 2, 229, 458
845 : 1, 5, 13, 65, 169, 845
901 : 1, 17, 53, 901
340 : 1, 2, 4, 5, 10, 17, 20, 34, 68, 85, 170, 340
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 816,458,845,901,340, is 1.
Now, the common factors can be found like this.
816:2x 2x 2x 2x 3x 17
458:2x 229
845:5x 13x 13
901:17x 53
340:2x 2x 5x 17
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 5x 17x 17 = 11560
Therefore, the value for common factors is 11560.
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 = 96742221014400/(1x11560)
LCM = 96742221014400/11560
LCM = 8368704240
Thus, we can understand that the LCM of 816,458,845,901,340 is 8368704240.
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FAQs on LCM of 816, 458, 845, 901, 340
1. What is the LCM of 816, 458, 845, 901, 340?
Answer: LCM of 816, 458, 845, 901, 340 is 8368704240.
2. How to calculate the LCM of 816, 458, 845, 901, 340?
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 816, 458, 845, 901, 340.
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}.