LCM of 507, 169, 424, 616
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 507, 169, 424, 616 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 507, 169, 424, 616. So, keep reading to learn more.
Given numbers are 507,169,424,616
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 507,169,424,616 is 16552536.
Find LCM of 507,169,424,616 with Prime Factorization
| 2 | 507, 169, 424, 616 |
| 2 | 507, 169, 212, 308 |
| 2 | 507, 169, 106, 154 |
| 13 | 507, 169, 53, 77 |
| 13 | 39, 13, 53, 77 |
| 3, 1, 53, 77 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 13 x 13 x 3 x 1 x 53 x 77 = 16552536
Therefore, the lowest common multiple of 507,169,424,616 is 16552536.
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.
507 x 169 x 424 x 616 = 22379028672
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.
507 : 1, 3, 13, 39, 169, 507
169 : 1, 13, 169
424 : 1, 2, 4, 8, 53, 106, 212, 424
616 : 1, 2, 4, 7, 8, 11, 14, 22, 28, 44, 56, 77, 88, 154, 308, 616
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 507,169,424,616, is 1.
Now, the common factors can be found like this.
507:3x 13x 13
169:13x 13
424:2x 2x 2x 53
616:2x 2x 2x 7x 11
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 13x 13 = 1352
Therefore, the value for common factors is 1352.
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 = 22379028672/(1x1352)
LCM = 22379028672/1352
LCM = 16552536
Thus, we can understand that the LCM of 507,169,424,616 is 16552536.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 507, 169, 424, 616
1. What is the LCM of 507, 169, 424, 616?
Answer: LCM of 507, 169, 424, 616 is 16552536.
2. How to calculate the LCM of 507, 169, 424, 616?
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 507, 169, 424, 616.
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}.