LCM of 572, 526, 648, 507, 284
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 572, 526, 648, 507, 284 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, 526, 648, 507, 284. So, keep reading to learn more.
Given numbers are 572,526,648,507,284
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 572,526,648,507,284 is 22494093336.
Find LCM of 572,526,648,507,284 with Prime Factorization
| 2 | 572, 526, 648, 507, 284 |
| 2 | 286, 263, 324, 507, 142 |
| 3 | 143, 263, 162, 507, 71 |
| 13 | 143, 263, 54, 169, 71 |
| 11, 263, 54, 13, 71 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 13 x 11 x 263 x 54 x 13 x 71 = 22494093336
Therefore, the lowest common multiple of 572,526,648,507,284 is 22494093336.
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 526 x 648 x 507 x 284 = 28072628483328
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
526 : 1, 2, 263, 526
648 : 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 81, 108, 162, 216, 324, 648
507 : 1, 3, 13, 39, 169, 507
284 : 1, 2, 4, 71, 142, 284
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 572,526,648,507,284, is 1.
Now, the common factors can be found like this.
572:2x 2x 11x 13
526:2x 263
648:2x 2x 2x 3x 3x 3x 3
507:3x 13x 13
284:2x 2x 71
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 13 = 1248
Therefore, the value for common factors is 1248.
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 = 28072628483328/(1x1248)
LCM = 28072628483328/1248
LCM = 22494093336
Thus, we can understand that the LCM of 572,526,648,507,284 is 22494093336.
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FAQs on LCM of 572, 526, 648, 507, 284
1. What is the LCM of 572, 526, 648, 507, 284?
Answer: LCM of 572, 526, 648, 507, 284 is 22494093336.
2. How to calculate the LCM of 572, 526, 648, 507, 284?
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, 526, 648, 507, 284.
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}.