LCM of 470, 960, 821, 803, 584
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 470, 960, 821, 803, 584 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 470, 960, 821, 803, 584. So, keep reading to learn more.
Given numbers are 470,960,821,803,584
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 470,960,821,803,584 is 29745946560.
Find LCM of 470,960,821,803,584 with Prime Factorization
| 2 | 470, 960, 821, 803, 584 |
| 2 | 235, 480, 821, 803, 292 |
| 2 | 235, 240, 821, 803, 146 |
| 5 | 235, 120, 821, 803, 73 |
| 73 | 47, 24, 821, 803, 73 |
| 47, 24, 821, 11, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 5 x 73 x 47 x 24 x 821 x 11 x 1 = 29745946560
Therefore, the lowest common multiple of 470,960,821,803,584 is 29745946560.
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.
470 x 960 x 821 x 803 x 584 = 173716327910400
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.
470 : 1, 2, 5, 10, 47, 94, 235, 470
960 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 80, 96, 120, 160, 192, 240, 320, 480, 960
821 : 1, 821
803 : 1, 11, 73, 803
584 : 1, 2, 4, 8, 73, 146, 292, 584
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 470,960,821,803,584, is 1.
Now, the common factors can be found like this.
470:2x 5x 47
960:2x 2x 2x 2x 2x 2x 3x 5
821:821
803:11x 73
584:2x 2x 2x 73
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 5x 73 = 5840
Therefore, the value for common factors is 5840.
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 = 173716327910400/(1x5840)
LCM = 173716327910400/5840
LCM = 29745946560
Thus, we can understand that the LCM of 470,960,821,803,584 is 29745946560.
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FAQs on LCM of 470, 960, 821, 803, 584
1. What is the LCM of 470, 960, 821, 803, 584?
Answer: LCM of 470, 960, 821, 803, 584 is 29745946560.
2. How to calculate the LCM of 470, 960, 821, 803, 584?
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 470, 960, 821, 803, 584.
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}.