LCM of 123, 588, 505, 507, 468
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 123, 588, 505, 507, 468 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 123, 588, 505, 507, 468. So, keep reading to learn more.
Given numbers are 123,588,505,507,468
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 123,588,505,507,468 is 6172491780.
Find LCM of 123,588,505,507,468 with Prime Factorization
| 2 | 123, 588, 505, 507, 468 |
| 2 | 123, 294, 505, 507, 234 |
| 3 | 123, 147, 505, 507, 117 |
| 13 | 41, 49, 505, 169, 39 |
| 41, 49, 505, 13, 3 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 13 x 41 x 49 x 505 x 13 x 3 = 6172491780
Therefore, the lowest common multiple of 123,588,505,507,468 is 6172491780.
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.
123 x 588 x 505 x 507 x 468 = 8666178459120
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.
123 : 1, 3, 41, 123
588 : 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 49, 84, 98, 147, 196, 294, 588
505 : 1, 5, 101, 505
507 : 1, 3, 13, 39, 169, 507
468 : 1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 123,588,505,507,468, is 1.
Now, the common factors can be found like this.
123:3x 41
588:2x 2x 3x 7x 7
505:5x 101
507:3x 13x 13
468:2x 2x 3x 3x 13
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 3x 13 = 1404
Therefore, the value for common factors is 1404.
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 = 8666178459120/(1x1404)
LCM = 8666178459120/1404
LCM = 6172491780
Thus, we can understand that the LCM of 123,588,505,507,468 is 6172491780.
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FAQs on LCM of 123, 588, 505, 507, 468
1. What is the LCM of 123, 588, 505, 507, 468?
Answer: LCM of 123, 588, 505, 507, 468 is 6172491780.
2. How to calculate the LCM of 123, 588, 505, 507, 468?
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 123, 588, 505, 507, 468.
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}.