Find the LCM of 636, 489, 966, 552, 706 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 636, 489, 966, 552, 706. So, keep reading to learn more.
Given numbers are 636,489,966,552,706
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 636,489,966,552,706 is 11783526888.
Find LCM of 636,489,966,552,706 with Prime Factorization
2 | 636, 489, 966, 552, 706 |
2 | 318, 489, 483, 276, 353 |
3 | 159, 489, 483, 138, 353 |
23 | 53, 163, 161, 46, 353 |
53, 163, 7, 2, 353 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 23 x 53 x 163 x 7 x 2 x 353 = 11783526888
Therefore, the lowest common multiple of 636,489,966,552,706 is 11783526888.
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.
636 x 489 x 966 x 552 x 706 = 117081123159168
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.
636 : 1, 2, 3, 4, 6, 12, 53, 106, 159, 212, 318, 636
489 : 1, 3, 163, 489
966 : 1, 2, 3, 6, 7, 14, 21, 23, 42, 46, 69, 138, 161, 322, 483, 966
552 : 1, 2, 3, 4, 6, 8, 12, 23, 24, 46, 69, 92, 138, 184, 276, 552
706 : 1, 2, 353, 706
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 636,489,966,552,706, is 1.
Now, the common factors can be found like this.
636:2x 2x 3x 53
489:3x 163
966:2x 3x 7x 23
552:2x 2x 2x 3x 23
706:2x 353
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 3x 3x 23 = 9936
Therefore, the value for common factors is 9936.
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 = 117081123159168/(1x9936)
LCM = 117081123159168/9936
LCM = 11783526888
Thus, we can understand that the LCM of 636,489,966,552,706 is 11783526888.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 636, 489, 966, 552, 706?
Answer: LCM of 636, 489, 966, 552, 706 is 11783526888.
2. How to calculate the LCM of 636, 489, 966, 552, 706?
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 636, 489, 966, 552, 706.
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}.