LCM of 571, 420, 507, 448, 426
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 571, 420, 507, 448, 426 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 571, 420, 507, 448, 426. So, keep reading to learn more.
Given numbers are 571,420,507,448,426
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 571,420,507,448,426 is 46041602880.
Find LCM of 571,420,507,448,426 with Prime Factorization
| 2 | 571, 420, 507, 448, 426 |
| 2 | 571, 210, 507, 224, 213 |
| 3 | 571, 105, 507, 112, 213 |
| 7 | 571, 35, 169, 112, 71 |
| 571, 5, 169, 16, 71 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 7 x 571 x 5 x 169 x 16 x 71 = 46041602880
Therefore, the lowest common multiple of 571,420,507,448,426 is 46041602880.
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.
571 x 420 x 507 x 448 x 426 = 23204967851520
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.
571 : 1, 571
420 : 1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420
507 : 1, 3, 13, 39, 169, 507
448 : 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 224, 448
426 : 1, 2, 3, 6, 71, 142, 213, 426
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 571,420,507,448,426, is 1.
Now, the common factors can be found like this.
571:571
420:2x 2x 3x 5x 7
507:3x 13x 13
448:2x 2x 2x 2x 2x 2x 7
426:2x 3x 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 3x 3x 7 = 504
Therefore, the value for common factors is 504.
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 = 23204967851520/(1x504)
LCM = 23204967851520/504
LCM = 46041602880
Thus, we can understand that the LCM of 571,420,507,448,426 is 46041602880.
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FAQs on LCM of 571, 420, 507, 448, 426
1. What is the LCM of 571, 420, 507, 448, 426?
Answer: LCM of 571, 420, 507, 448, 426 is 46041602880.
2. How to calculate the LCM of 571, 420, 507, 448, 426?
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 571, 420, 507, 448, 426.
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}.