LCM of 513, 667, 920, 684, 444
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 513, 667, 920, 684, 444 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, 667, 920, 684, 444. So, keep reading to learn more.
Given numbers are 513,667,920,684,444
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 513,667,920,684,444 is 506413080.
Find LCM of 513,667,920,684,444 with Prime Factorization
| 2 | 513, 667, 920, 684, 444 |
| 2 | 513, 667, 460, 342, 222 |
| 3 | 513, 667, 230, 171, 111 |
| 3 | 57, 667, 230, 171, 37 |
| 19 | 19, 667, 230, 57, 37 |
| 23 | 1, 667, 230, 3, 37 |
| 1, 29, 10, 3, 37 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 19 x 23 x 1 x 29 x 10 x 3 x 37 = 506413080
Therefore, the lowest common multiple of 513,667,920,684,444 is 506413080.
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 667 x 920 x 684 x 444 = 95602686894720
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
667 : 1, 23, 29, 667
920 : 1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920
684 : 1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684
444 : 1, 2, 3, 4, 6, 12, 37, 74, 111, 148, 222, 444
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 513,667,920,684,444, is 1.
Now, the common factors can be found like this.
513:3x 3x 3x 19
667:23x 29
920:2x 2x 2x 5x 23
684:2x 2x 3x 3x 19
444:2x 2x 3x 37
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 3x 3x 3x 19x 23 = 188784
Therefore, the value for common factors is 188784.
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 = 95602686894720/(1x188784)
LCM = 95602686894720/188784
LCM = 506413080
Thus, we can understand that the LCM of 513,667,920,684,444 is 506413080.
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FAQs on LCM of 513, 667, 920, 684, 444
1. What is the LCM of 513, 667, 920, 684, 444?
Answer: LCM of 513, 667, 920, 684, 444 is 506413080.
2. How to calculate the LCM of 513, 667, 920, 684, 444?
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, 667, 920, 684, 444.
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}.