LCM of 513, 730, 306, 648, 336
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 513, 730, 306, 648, 336 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, 730, 306, 648, 336. So, keep reading to learn more.
Given numbers are 513,730,306,648,336
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 513,730,306,648,336 is 1069543440.
Find LCM of 513,730,306,648,336 with Prime Factorization
| 2 | 513, 730, 306, 648, 336 |
| 2 | 513, 365, 153, 324, 168 |
| 2 | 513, 365, 153, 162, 84 |
| 3 | 513, 365, 153, 81, 42 |
| 3 | 171, 365, 51, 27, 14 |
| 3 | 57, 365, 17, 9, 14 |
| 19, 365, 17, 3, 14 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 3 x 3 x 19 x 365 x 17 x 3 x 14 = 1069543440
Therefore, the lowest common multiple of 513,730,306,648,336 is 1069543440.
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 730 x 306 x 648 x 336 = 24950309368320
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
730 : 1, 2, 5, 10, 73, 146, 365, 730
306 : 1, 2, 3, 6, 9, 17, 18, 34, 51, 102, 153, 306
648 : 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 81, 108, 162, 216, 324, 648
336 : 1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 42, 48, 56, 84, 112, 168, 336
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 513,730,306,648,336, is 1.
Now, the common factors can be found like this.
513:3x 3x 3x 19
730:2x 5x 73
306:2x 3x 3x 17
648:2x 2x 2x 3x 3x 3x 3
336:2x 2x 2x 2x 3x 7
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 2x 2x 3x 3x 3x 3x 3x 3 = 23328
Therefore, the value for common factors is 23328.
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 = 24950309368320/(1x23328)
LCM = 24950309368320/23328
LCM = 1069543440
Thus, we can understand that the LCM of 513,730,306,648,336 is 1069543440.
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FAQs on LCM of 513, 730, 306, 648, 336
1. What is the LCM of 513, 730, 306, 648, 336?
Answer: LCM of 513, 730, 306, 648, 336 is 1069543440.
2. How to calculate the LCM of 513, 730, 306, 648, 336?
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, 730, 306, 648, 336.
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}.