LCM of 558, 473, 544, 816, 341
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 558, 473, 544, 816, 341 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 558, 473, 544, 816, 341. So, keep reading to learn more.
Given numbers are 558,473,544,816,341
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 558,473,544,816,341 is 71790048.
Find LCM of 558,473,544,816,341 with Prime Factorization
| 2 | 558, 473, 544, 816, 341 |
| 2 | 279, 473, 272, 408, 341 |
| 2 | 279, 473, 136, 204, 341 |
| 2 | 279, 473, 68, 102, 341 |
| 3 | 279, 473, 34, 51, 341 |
| 11 | 93, 473, 34, 17, 341 |
| 17 | 93, 43, 34, 17, 31 |
| 31 | 93, 43, 2, 1, 31 |
| 3, 43, 2, 1, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 3 x 11 x 17 x 31 x 3 x 43 x 2 x 1 x 1 = 71790048
Therefore, the lowest common multiple of 558,473,544,816,341 is 71790048.
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.
558 x 473 x 544 x 816 x 341 = 39952023192576
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.
558 : 1, 2, 3, 6, 9, 18, 31, 62, 93, 186, 279, 558
473 : 1, 11, 43, 473
544 : 1, 2, 4, 8, 16, 17, 32, 34, 68, 136, 272, 544
816 : 1, 2, 3, 4, 6, 8, 12, 16, 17, 24, 34, 48, 51, 68, 102, 136, 204, 272, 408, 816
341 : 1, 11, 31, 341
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 558,473,544,816,341, is 1.
Now, the common factors can be found like this.
558:2x 3x 3x 31
473:11x 43
544:2x 2x 2x 2x 2x 17
816:2x 2x 2x 2x 3x 17
341:11x 31
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 2x 2x 3x 11x 17x 31 = 556512
Therefore, the value for common factors is 556512.
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 = 39952023192576/(1x556512)
LCM = 39952023192576/556512
LCM = 71790048
Thus, we can understand that the LCM of 558,473,544,816,341 is 71790048.
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FAQs on LCM of 558, 473, 544, 816, 341
1. What is the LCM of 558, 473, 544, 816, 341?
Answer: LCM of 558, 473, 544, 816, 341 is 71790048.
2. How to calculate the LCM of 558, 473, 544, 816, 341?
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 558, 473, 544, 816, 341.
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}.