Find the LCM of 470, 966, 162, 508, 644 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, 966, 162, 508, 644. So, keep reading to learn more.
Given numbers are 470,966,162,508,644
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 470,966,162,508,644 is 1556834580.
Find LCM of 470,966,162,508,644 with Prime Factorization
2 | 470, 966, 162, 508, 644 |
2 | 235, 483, 81, 254, 322 |
3 | 235, 483, 81, 127, 161 |
7 | 235, 161, 27, 127, 161 |
23 | 235, 23, 27, 127, 23 |
235, 1, 27, 127, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 7 x 23 x 235 x 1 x 27 x 127 x 1 = 1556834580
Therefore, the lowest common multiple of 470,966,162,508,644 is 1556834580.
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 966 x 162 x 508 x 644 = 24062435268480
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
966 : 1, 2, 3, 6, 7, 14, 21, 23, 42, 46, 69, 138, 161, 322, 483, 966
162 : 1, 2, 3, 6, 9, 18, 27, 54, 81, 162
508 : 1, 2, 4, 127, 254, 508
644 : 1, 2, 4, 7, 14, 23, 28, 46, 92, 161, 322, 644
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 470,966,162,508,644, is 2.
Now, the common factors can be found like this.
470:2x 5x 47
966:2x 3x 7x 23
162:2x 3x 3x 3x 3
508:2x 2x 127
644:2x 2x 7x 23
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 7x 23 = 7728
Therefore, the value for common factors is 7728.
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 = 24062435268480/(2x7728)
LCM = 24062435268480/15456
LCM = 1556834580
Thus, we can understand that the LCM of 470,966,162,508,644 is 1556834580.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 470, 966, 162, 508, 644?
Answer: LCM of 470, 966, 162, 508, 644 is 1556834580.
2. How to calculate the LCM of 470, 966, 162, 508, 644?
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, 966, 162, 508, 644.
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}.