LCM of 436, 837, 339, 465, 816
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 436, 837, 339, 465, 816 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 436, 837, 339, 465, 816. So, keep reading to learn more.
Given numbers are 436,837,339,465,816
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 436,837,339,465,816 is 14020687440.
Find LCM of 436,837,339,465,816 with Prime Factorization
| 2 | 436, 837, 339, 465, 816 |
| 2 | 218, 837, 339, 465, 408 |
| 3 | 109, 837, 339, 465, 204 |
| 31 | 109, 279, 113, 155, 68 |
| 109, 9, 113, 5, 68 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 31 x 109 x 9 x 113 x 5 x 68 = 14020687440
Therefore, the lowest common multiple of 436,837,339,465,816 is 14020687440.
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.
436 x 837 x 339 x 465 x 816 = 46941261549120
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.
436 : 1, 2, 4, 109, 218, 436
837 : 1, 3, 9, 27, 31, 93, 279, 837
339 : 1, 3, 113, 339
465 : 1, 3, 5, 15, 31, 93, 155, 465
816 : 1, 2, 3, 4, 6, 8, 12, 16, 17, 24, 34, 48, 51, 68, 102, 136, 204, 272, 408, 816
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 436,837,339,465,816, is 1.
Now, the common factors can be found like this.
436:2x 2x 109
837:3x 3x 3x 31
339:3x 113
465:3x 5x 31
816:2x 2x 2x 2x 3x 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 3x 3x 3x 31 = 3348
Therefore, the value for common factors is 3348.
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 = 46941261549120/(1x3348)
LCM = 46941261549120/3348
LCM = 14020687440
Thus, we can understand that the LCM of 436,837,339,465,816 is 14020687440.
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FAQs on LCM of 436, 837, 339, 465, 816
1. What is the LCM of 436, 837, 339, 465, 816?
Answer: LCM of 436, 837, 339, 465, 816 is 14020687440.
2. How to calculate the LCM of 436, 837, 339, 465, 816?
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 436, 837, 339, 465, 816.
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}.