LCM of 572, 845, 916, 507, 658
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 572, 845, 916, 507, 658 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 572, 845, 916, 507, 658. So, keep reading to learn more.
Given numbers are 572,845,916,507,658
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 572,845,916,507,658 is 8403535140.
Find LCM of 572,845,916,507,658 with Prime Factorization
| 2 | 572, 845, 916, 507, 658 |
| 2 | 286, 845, 458, 507, 329 |
| 13 | 143, 845, 229, 507, 329 |
| 13 | 11, 65, 229, 39, 329 |
| 11, 5, 229, 3, 329 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 13 x 13 x 11 x 5 x 229 x 3 x 329 = 8403535140
Therefore, the lowest common multiple of 572,845,916,507,658 is 8403535140.
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.
572 x 845 x 916 x 507 x 658 = 147700533620640
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.
572 : 1, 2, 4, 11, 13, 22, 26, 44, 52, 143, 286, 572
845 : 1, 5, 13, 65, 169, 845
916 : 1, 2, 4, 229, 458, 916
507 : 1, 3, 13, 39, 169, 507
658 : 1, 2, 7, 14, 47, 94, 329, 658
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 572,845,916,507,658, is 1.
Now, the common factors can be found like this.
572:2x 2x 11x 13
845:5x 13x 13
916:2x 2x 229
507:3x 13x 13
658:2x 7x 47
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 13x 13x 13 = 17576
Therefore, the value for common factors is 17576.
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 = 147700533620640/(1x17576)
LCM = 147700533620640/17576
LCM = 8403535140
Thus, we can understand that the LCM of 572,845,916,507,658 is 8403535140.
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FAQs on LCM of 572, 845, 916, 507, 658
1. What is the LCM of 572, 845, 916, 507, 658?
Answer: LCM of 572, 845, 916, 507, 658 is 8403535140.
2. How to calculate the LCM of 572, 845, 916, 507, 658?
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 572, 845, 916, 507, 658.
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}.