Find the LCM of 120, 622, 663, 924, 564 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 120, 622, 663, 924, 564. So, keep reading to learn more.
Given numbers are 120,622,663,924,564
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 120,622,663,924,564 is 29848498680.
Find LCM of 120,622,663,924,564 with Prime Factorization
2 | 120, 622, 663, 924, 564 |
2 | 60, 311, 663, 462, 282 |
3 | 30, 311, 663, 231, 141 |
10, 311, 221, 77, 47 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 10 x 311 x 221 x 77 x 47 = 29848498680
Therefore, the lowest common multiple of 120,622,663,924,564 is 29848498680.
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.
120 x 622 x 663 x 924 x 564 = 25789102859520
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.
120 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120
622 : 1, 2, 311, 622
663 : 1, 3, 13, 17, 39, 51, 221, 663
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
564 : 1, 2, 3, 4, 6, 12, 47, 94, 141, 188, 282, 564
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 120,622,663,924,564, is 1.
Now, the common factors can be found like this.
120:2x 2x 2x 3x 5
622:2x 311
663:3x 13x 17
924:2x 2x 3x 7x 11
564:2x 2x 3x 47
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 3x 3x 3 = 864
Therefore, the value for common factors is 864.
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 = 25789102859520/(1x864)
LCM = 25789102859520/864
LCM = 29848498680
Thus, we can understand that the LCM of 120,622,663,924,564 is 29848498680.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 120, 622, 663, 924, 564?
Answer: LCM of 120, 622, 663, 924, 564 is 29848498680.
2. How to calculate the LCM of 120, 622, 663, 924, 564?
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 120, 622, 663, 924, 564.
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}.