LCM of 648, 513, 819, 870, 361
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 648, 513, 819, 870, 361 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 648, 513, 819, 870, 361. So, keep reading to learn more.
Given numbers are 648,513,819,870,361
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 648,513,819,870,361 is 3086679960.
Find LCM of 648,513,819,870,361 with Prime Factorization
| 2 | 648, 513, 819, 870, 361 |
| 3 | 324, 513, 819, 435, 361 |
| 3 | 108, 171, 273, 145, 361 |
| 3 | 36, 57, 91, 145, 361 |
| 19 | 12, 19, 91, 145, 361 |
| 12, 1, 91, 145, 19 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 3 x 19 x 12 x 1 x 91 x 145 x 19 = 3086679960
Therefore, the lowest common multiple of 648,513,819,870,361 is 3086679960.
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.
648 x 513 x 819 x 870 x 361 = 85507208251920
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.
648 : 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 81, 108, 162, 216, 324, 648
513 : 1, 3, 9, 19, 27, 57, 171, 513
819 : 1, 3, 7, 9, 13, 21, 39, 63, 91, 117, 273, 819
870 : 1, 2, 3, 5, 6, 10, 15, 29, 30, 58, 87, 145, 174, 290, 435, 870
361 : 1, 19, 361
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 648,513,819,870,361, is 1.
Now, the common factors can be found like this.
648:2x 2x 2x 3x 3x 3x 3
513:3x 3x 3x 19
819:3x 3x 7x 13
870:2x 3x 5x 29
361:19x 19
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 3x 3x 3x 3x 3x 19 = 27702
Therefore, the value for common factors is 27702.
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 = 85507208251920/(1x27702)
LCM = 85507208251920/27702
LCM = 3086679960
Thus, we can understand that the LCM of 648,513,819,870,361 is 3086679960.
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FAQs on LCM of 648, 513, 819, 870, 361
1. What is the LCM of 648, 513, 819, 870, 361?
Answer: LCM of 648, 513, 819, 870, 361 is 3086679960.
2. How to calculate the LCM of 648, 513, 819, 870, 361?
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 648, 513, 819, 870, 361.
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}.