LCM of 820, 480, 791, 684, 811
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 820, 480, 791, 684, 811 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 820, 480, 791, 684, 811. So, keep reading to learn more.
Given numbers are 820,480,791,684,811
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 820,480,791,684,811 is 719610161760.
Find LCM of 820,480,791,684,811 with Prime Factorization
| 2 | 820, 480, 791, 684, 811 |
| 2 | 410, 240, 791, 342, 811 |
| 3 | 205, 120, 791, 171, 811 |
| 5 | 205, 40, 791, 57, 811 |
| 41, 8, 791, 57, 811 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 5 x 41 x 8 x 791 x 57 x 811 = 719610161760
Therefore, the lowest common multiple of 820,480,791,684,811 is 719610161760.
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.
820 x 480 x 791 x 684 x 811 = 172706438822400
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.
820 : 1, 2, 4, 5, 10, 20, 41, 82, 164, 205, 410, 820
480 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 80, 96, 120, 160, 240, 480
791 : 1, 7, 113, 791
684 : 1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684
811 : 1, 811
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 820,480,791,684,811, is 1.
Now, the common factors can be found like this.
820:2x 2x 5x 41
480:2x 2x 2x 2x 2x 3x 5
791:7x 113
684:2x 2x 3x 3x 19
811:811
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 5 = 240
Therefore, the value for common factors is 240.
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 = 172706438822400/(1x240)
LCM = 172706438822400/240
LCM = 719610161760
Thus, we can understand that the LCM of 820,480,791,684,811 is 719610161760.
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FAQs on LCM of 820, 480, 791, 684, 811
1. What is the LCM of 820, 480, 791, 684, 811?
Answer: LCM of 820, 480, 791, 684, 811 is 719610161760.
2. How to calculate the LCM of 820, 480, 791, 684, 811?
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 820, 480, 791, 684, 811.
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}.