LCM of 513, 507, 708, 999, 309
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 513, 507, 708, 999, 309 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 513, 507, 708, 999, 309. So, keep reading to learn more.
Given numbers are 513,507,708,999,309
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 513,507,708,999,309 is 77974935012.
Find LCM of 513,507,708,999,309 with Prime Factorization
| 3 | 513, 507, 708, 999, 309 |
| 3 | 171, 169, 236, 333, 103 |
| 3 | 57, 169, 236, 111, 103 |
| 19, 169, 236, 37, 103 |
Multiply the prime numbers at the bottom and the left side.
3 x 3 x 3 x 19 x 169 x 236 x 37 x 103 = 77974935012
Therefore, the lowest common multiple of 513,507,708,999,309 is 77974935012.
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.
513 x 507 x 708 x 999 x 309 = 56843727623748
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.
513 : 1, 3, 9, 19, 27, 57, 171, 513
507 : 1, 3, 13, 39, 169, 507
708 : 1, 2, 3, 4, 6, 12, 59, 118, 177, 236, 354, 708
999 : 1, 3, 9, 27, 37, 111, 333, 999
309 : 1, 3, 103, 309
3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 513,507,708,999,309, is 3.
Now, the common factors can be found like this.
513:3x 3x 3x 19
507:3x 13x 13
708:2x 2x 3x 59
999:3x 3x 3x 37
309:3x 103
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 3x 3x 3x 3 = 243
Therefore, the value for common factors is 243.
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 = 56843727623748/(3x243)
LCM = 56843727623748/729
LCM = 77974935012
Thus, we can understand that the LCM of 513,507,708,999,309 is 77974935012.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 513, 507, 708, 999, 309
1. What is the LCM of 513, 507, 708, 999, 309?
Answer: LCM of 513, 507, 708, 999, 309 is 77974935012.
2. How to calculate the LCM of 513, 507, 708, 999, 309?
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 513, 507, 708, 999, 309.
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}.