Find the LCM of 636, 412, 300, 868, 924 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, 412, 300, 868, 924. So, keep reading to learn more.
Given numbers are 636,412,300,868,924
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 636,412,300,868,924 is 3909189900.
Find LCM of 636,412,300,868,924 with Prime Factorization
2 | 636, 412, 300, 868, 924 |
2 | 318, 206, 150, 434, 462 |
3 | 159, 103, 75, 217, 231 |
7 | 53, 103, 25, 217, 77 |
53, 103, 25, 31, 11 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 7 x 53 x 103 x 25 x 31 x 11 = 3909189900
Therefore, the lowest common multiple of 636,412,300,868,924 is 3909189900.
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 412 x 300 x 868 x 924 = 63047414707200
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
412 : 1, 2, 4, 103, 206, 412
300 : 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, 300
868 : 1, 2, 4, 7, 14, 28, 31, 62, 124, 217, 434, 868
924 : 1, 2, 3, 4, 6, 7, 11, 12, 14, 21, 22, 28, 33, 42, 44, 66, 77, 84, 132, 154, 231, 308, 462, 924
4 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 636,412,300,868,924, is 4.
Now, the common factors can be found like this.
636:2x 2x 3x 53
412:2x 2x 103
300:2x 2x 3x 5x 5
868:2x 2x 7x 31
924:2x 2x 3x 7x 11
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 2x 2x 3x 3x 7 = 4032
Therefore, the value for common factors is 4032.
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 = 63047414707200/(4x4032)
LCM = 63047414707200/16128
LCM = 3909189900
Thus, we can understand that the LCM of 636,412,300,868,924 is 3909189900.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 636, 412, 300, 868, 924?
Answer: LCM of 636, 412, 300, 868, 924 is 3909189900.
2. How to calculate the LCM of 636, 412, 300, 868, 924?
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, 412, 300, 868, 924.
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}.