LCM of 572, 507, 949, 465, 588
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 572, 507, 949, 465, 588 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, 507, 949, 465, 588. So, keep reading to learn more.
Given numbers are 572,507,949,465,588
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 572,507,949,465,588 is 12368335980.
Find LCM of 572,507,949,465,588 with Prime Factorization
| 2 | 572, 507, 949, 465, 588 |
| 2 | 286, 507, 949, 465, 294 |
| 3 | 143, 507, 949, 465, 147 |
| 13 | 143, 169, 949, 155, 49 |
| 11, 13, 73, 155, 49 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 13 x 11 x 13 x 73 x 155 x 49 = 12368335980
Therefore, the lowest common multiple of 572,507,949,465,588 is 12368335980.
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 507 x 949 x 465 x 588 = 75248956102320
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
507 : 1, 3, 13, 39, 169, 507
949 : 1, 13, 73, 949
465 : 1, 3, 5, 15, 31, 93, 155, 465
588 : 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 49, 84, 98, 147, 196, 294, 588
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 572,507,949,465,588, is 1.
Now, the common factors can be found like this.
572:2x 2x 11x 13
507:3x 13x 13
949:13x 73
465:3x 5x 31
588:2x 2x 3x 7x 7
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 3x 3x 13x 13 = 6084
Therefore, the value for common factors is 6084.
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 = 75248956102320/(1x6084)
LCM = 75248956102320/6084
LCM = 12368335980
Thus, we can understand that the LCM of 572,507,949,465,588 is 12368335980.
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FAQs on LCM of 572, 507, 949, 465, 588
1. What is the LCM of 572, 507, 949, 465, 588?
Answer: LCM of 572, 507, 949, 465, 588 is 12368335980.
2. How to calculate the LCM of 572, 507, 949, 465, 588?
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, 507, 949, 465, 588.
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}.