Find the LCM of 820, 226, 901, 559, 260 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, 226, 901, 559, 260. So, keep reading to learn more.
Given numbers are 820,226,901,559,260
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 820,226,901,559,260 is 46669042940.
Find LCM of 820,226,901,559,260 with Prime Factorization
2 | 820, 226, 901, 559, 260 |
2 | 410, 113, 901, 559, 130 |
5 | 205, 113, 901, 559, 65 |
13 | 41, 113, 901, 559, 13 |
41, 113, 901, 43, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 5 x 13 x 41 x 113 x 901 x 43 x 1 = 46669042940
Therefore, the lowest common multiple of 820,226,901,559,260 is 46669042940.
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 226 x 901 x 559 x 260 = 24267902328800
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
226 : 1, 2, 113, 226
901 : 1, 17, 53, 901
559 : 1, 13, 43, 559
260 : 1, 2, 4, 5, 10, 13, 20, 26, 52, 65, 130, 260
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 820,226,901,559,260, is 1.
Now, the common factors can be found like this.
820:2x 2x 5x 41
226:2x 113
901:17x 53
559:13x 43
260:2x 2x 5x 13
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 5x 13 = 520
Therefore, the value for common factors is 520.
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 = 24267902328800/(1x520)
LCM = 24267902328800/520
LCM = 46669042940
Thus, we can understand that the LCM of 820,226,901,559,260 is 46669042940.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 820, 226, 901, 559, 260?
Answer: LCM of 820, 226, 901, 559, 260 is 46669042940.
2. How to calculate the LCM of 820, 226, 901, 559, 260?
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, 226, 901, 559, 260.
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}.