LCM of 452, 323, 416, 286
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 452, 323, 416, 286 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 452, 323, 416, 286. So, keep reading to learn more.
Given numbers are 452,323,416,286
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 452,323,416,286 is 167019424.
Find LCM of 452,323,416,286 with Prime Factorization
| 2 | 452, 323, 416, 286 |
| 2 | 226, 323, 208, 143 |
| 13 | 113, 323, 104, 143 |
| 113, 323, 8, 11 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 13 x 113 x 323 x 8 x 11 = 167019424
Therefore, the lowest common multiple of 452,323,416,286 is 167019424.
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.
452 x 323 x 416 x 286 = 17370020096
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.
452 : 1, 2, 4, 113, 226, 452
323 : 1, 17, 19, 323
416 : 1, 2, 4, 8, 13, 16, 26, 32, 52, 104, 208, 416
286 : 1, 2, 11, 13, 22, 26, 143, 286
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 452,323,416,286, is 1.
Now, the common factors can be found like this.
452:2x 2x 113
323:17x 19
416:2x 2x 2x 2x 2x 13
286:2x 11x 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 2x 13 = 104
Therefore, the value for common factors is 104.
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 = 17370020096/(1x104)
LCM = 17370020096/104
LCM = 167019424
Thus, we can understand that the LCM of 452,323,416,286 is 167019424.
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FAQs on LCM of 452, 323, 416, 286
1. What is the LCM of 452, 323, 416, 286?
Answer: LCM of 452, 323, 416, 286 is 167019424.
2. How to calculate the LCM of 452, 323, 416, 286?
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 452, 323, 416, 286.
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}.