LCM of 478, 720, 717, 684
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 478, 720, 717, 684 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 478, 720, 717, 684. So, keep reading to learn more.
Given numbers are 478,720,717,684
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 478,720,717,684 is 3269520.
Find LCM of 478,720,717,684 with Prime Factorization
| 2 | 478, 720, 717, 684 |
| 2 | 239, 360, 717, 342 |
| 3 | 239, 180, 717, 171 |
| 3 | 239, 60, 239, 57 |
| 239 | 239, 20, 239, 19 |
| 1, 20, 1, 19 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 239 x 1 x 20 x 1 x 19 = 3269520
Therefore, the lowest common multiple of 478,720,717,684 is 3269520.
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.
478 x 720 x 717 x 684 = 168785700480
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.
478 : 1, 2, 239, 478
720 : 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, 720
717 : 1, 3, 239, 717
684 : 1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 478,720,717,684, is 1.
Now, the common factors can be found like this.
478:2x 239
720:2x 2x 2x 2x 3x 3x 5
717:3x 239
684:2x 2x 3x 3x 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 2x 2x 3x 3x 3x 239 = 51624
Therefore, the value for common factors is 51624.
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 = 168785700480/(1x51624)
LCM = 168785700480/51624
LCM = 3269520
Thus, we can understand that the LCM of 478,720,717,684 is 3269520.
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FAQs on LCM of 478, 720, 717, 684
1. What is the LCM of 478, 720, 717, 684?
Answer: LCM of 478, 720, 717, 684 is 3269520.
2. How to calculate the LCM of 478, 720, 717, 684?
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 478, 720, 717, 684.
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}.