LCM of 514, 648, 702, 507
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 514, 648, 702, 507 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 514, 648, 702, 507. So, keep reading to learn more.
Given numbers are 514,648,702,507
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 514,648,702,507 is 28144584.
Find LCM of 514,648,702,507 with Prime Factorization
| 2 | 514, 648, 702, 507 |
| 3 | 257, 324, 351, 507 |
| 3 | 257, 108, 117, 169 |
| 3 | 257, 36, 39, 169 |
| 13 | 257, 12, 13, 169 |
| 257, 12, 1, 13 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 3 x 13 x 257 x 12 x 1 x 13 = 28144584
Therefore, the lowest common multiple of 514,648,702,507 is 28144584.
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.
514 x 648 x 702 x 507 = 118544987808
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.
514 : 1, 2, 257, 514
648 : 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 81, 108, 162, 216, 324, 648
702 : 1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 78, 117, 234, 351, 702
507 : 1, 3, 13, 39, 169, 507
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 514,648,702,507, is 1.
Now, the common factors can be found like this.
514:2x 257
648:2x 2x 2x 3x 3x 3x 3
702:2x 3x 3x 3x 13
507:3x 13x 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 3x 13 = 4212
Therefore, the value for common factors is 4212.
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 = 118544987808/(1x4212)
LCM = 118544987808/4212
LCM = 28144584
Thus, we can understand that the LCM of 514,648,702,507 is 28144584.
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FAQs on LCM of 514, 648, 702, 507
1. What is the LCM of 514, 648, 702, 507?
Answer: LCM of 514, 648, 702, 507 is 28144584.
2. How to calculate the LCM of 514, 648, 702, 507?
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 514, 648, 702, 507.
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}.