Find the LCM of 928, 562, 442, 402, 973 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 928, 562, 442, 402, 973. So, keep reading to learn more.
Given numbers are 928,562,442,402,973
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 928,562,442,402,973 is 11270818794144.
Find LCM of 928,562,442,402,973 with Prime Factorization
2 | 928, 562, 442, 402, 973 |
464, 281, 221, 201, 973 |
Multiply the prime numbers at the bottom and the left side.
2 x 464 x 281 x 221 x 201 x 973 = 11270818794144
Therefore, the lowest common multiple of 928,562,442,402,973 is 11270818794144.
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.
928 x 562 x 442 x 402 x 973 = 90166550353152
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.
928 : 1, 2, 4, 8, 16, 29, 32, 58, 116, 232, 464, 928
562 : 1, 2, 281, 562
442 : 1, 2, 13, 17, 26, 34, 221, 442
402 : 1, 2, 3, 6, 67, 134, 201, 402
973 : 1, 7, 139, 973
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 928,562,442,402,973, is 1.
Now, the common factors can be found like this.
928:2x 2x 2x 2x 2x 29
562:2x 281
442:2x 13x 17
402:2x 3x 67
973:7x 139
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 2 = 8
Therefore, the value for common factors is 8.
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 = 90166550353152/(1x8)
LCM = 90166550353152/8
LCM = 11270818794144
Thus, we can understand that the LCM of 928,562,442,402,973 is 11270818794144.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 928, 562, 442, 402, 973?
Answer: LCM of 928, 562, 442, 402, 973 is 11270818794144.
2. How to calculate the LCM of 928, 562, 442, 402, 973?
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 928, 562, 442, 402, 973.
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}.