Find the LCM of 471, 664, 803, 826, 840 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 471, 664, 803, 826, 840. So, keep reading to learn more.
Given numbers are 471,664,803,826,840
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 471,664,803,826,840 is 518590537080.
Find LCM of 471,664,803,826,840 with Prime Factorization
2 | 471, 664, 803, 826, 840 |
2 | 471, 332, 803, 413, 420 |
2 | 471, 166, 803, 413, 210 |
3 | 471, 83, 803, 413, 105 |
7 | 157, 83, 803, 413, 35 |
157, 83, 803, 59, 5 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 7 x 157 x 83 x 803 x 59 x 5 = 518590537080
Therefore, the lowest common multiple of 471,664,803,826,840 is 518590537080.
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.
471 x 664 x 803 x 826 x 840 = 174246420458880
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.
471 : 1, 3, 157, 471
664 : 1, 2, 4, 8, 83, 166, 332, 664
803 : 1, 11, 73, 803
826 : 1, 2, 7, 14, 59, 118, 413, 826
840 : 1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 20, 21, 24, 28, 30, 35, 40, 42, 56, 60, 70, 84, 105, 120, 140, 168, 210, 280, 420, 840
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 471,664,803,826,840, is 1.
Now, the common factors can be found like this.
471:3x 157
664:2x 2x 2x 83
803:11x 73
826:2x 7x 59
840:2x 2x 2x 3x 5x 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 3x 7 = 336
Therefore, the value for common factors is 336.
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 = 174246420458880/(1x336)
LCM = 174246420458880/336
LCM = 518590537080
Thus, we can understand that the LCM of 471,664,803,826,840 is 518590537080.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 471, 664, 803, 826, 840?
Answer: LCM of 471, 664, 803, 826, 840 is 518590537080.
2. How to calculate the LCM of 471, 664, 803, 826, 840?
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 471, 664, 803, 826, 840.
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}.