LCM of 436, 572, 891, 446, 512
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 436, 572, 891, 446, 512 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, 572, 891, 446, 512. So, keep reading to learn more.
Given numbers are 436,572,891,446,512
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 436,572,891,446,512 is 144152566272.
Find LCM of 436,572,891,446,512 with Prime Factorization
| 2 | 436, 572, 891, 446, 512 |
| 2 | 218, 286, 891, 223, 256 |
| 11 | 109, 143, 891, 223, 128 |
| 109, 13, 81, 223, 128 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 11 x 109 x 13 x 81 x 223 x 128 = 144152566272
Therefore, the lowest common multiple of 436,572,891,446,512 is 144152566272.
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 572 x 891 x 446 x 512 = 50741703327744
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
572 : 1, 2, 4, 11, 13, 22, 26, 44, 52, 143, 286, 572
891 : 1, 3, 9, 11, 27, 33, 81, 99, 297, 891
446 : 1, 2, 223, 446
512 : 1, 2, 4, 8, 16, 32, 64, 128, 256, 512
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 436,572,891,446,512, is 1.
Now, the common factors can be found like this.
436:2x 2x 109
572:2x 2x 11x 13
891:3x 3x 3x 3x 11
446:2x 223
512:2x 2x 2x 2x 2x 2x 2x 2x 2
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 11 = 352
Therefore, the value for common factors is 352.
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 = 50741703327744/(1x352)
LCM = 50741703327744/352
LCM = 144152566272
Thus, we can understand that the LCM of 436,572,891,446,512 is 144152566272.
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FAQs on LCM of 436, 572, 891, 446, 512
1. What is the LCM of 436, 572, 891, 446, 512?
Answer: LCM of 436, 572, 891, 446, 512 is 144152566272.
2. How to calculate the LCM of 436, 572, 891, 446, 512?
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, 572, 891, 446, 512.
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}.