Find the LCM of 664, 612, 954, 338, 467 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 664, 612, 954, 338, 467. So, keep reading to learn more.
Given numbers are 664,612,954,338,467
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 664,612,954,338,467 is 424951107048.
Find LCM of 664,612,954,338,467 with Prime Factorization
2 | 664, 612, 954, 338, 467 |
2 | 332, 306, 477, 169, 467 |
3 | 166, 153, 477, 169, 467 |
3 | 166, 51, 159, 169, 467 |
166, 17, 53, 169, 467 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 166 x 17 x 53 x 169 x 467 = 424951107048
Therefore, the lowest common multiple of 664,612,954,338,467 is 424951107048.
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.
664 x 612 x 954 x 338 x 467 = 61192959414912
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.
664 : 1, 2, 4, 8, 83, 166, 332, 664
612 : 1, 2, 3, 4, 6, 9, 12, 17, 18, 34, 36, 51, 68, 102, 153, 204, 306, 612
954 : 1, 2, 3, 6, 9, 18, 53, 106, 159, 318, 477, 954
338 : 1, 2, 13, 26, 169, 338
467 : 1, 467
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 664,612,954,338,467, is 1.
Now, the common factors can be found like this.
664:2x 2x 2x 83
612:2x 2x 3x 3x 17
954:2x 3x 3x 53
338:2x 13x 13
467:467
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 3 = 144
Therefore, the value for common factors is 144.
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 = 61192959414912/(1x144)
LCM = 61192959414912/144
LCM = 424951107048
Thus, we can understand that the LCM of 664,612,954,338,467 is 424951107048.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 664, 612, 954, 338, 467?
Answer: LCM of 664, 612, 954, 338, 467 is 424951107048.
2. How to calculate the LCM of 664, 612, 954, 338, 467?
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 664, 612, 954, 338, 467.
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}.