Find the LCM of 423, 991, 930, 288, 646 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 423, 991, 930, 288, 646. So, keep reading to learn more.
Given numbers are 423,991,930,288,646
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 423,991,930,288,646 is 671580721440.
Find LCM of 423,991,930,288,646 with Prime Factorization
2 | 423, 991, 930, 288, 646 |
3 | 423, 991, 465, 144, 323 |
3 | 141, 991, 155, 48, 323 |
47, 991, 155, 16, 323 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 47 x 991 x 155 x 16 x 323 = 671580721440
Therefore, the lowest common multiple of 423,991,930,288,646 is 671580721440.
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.
423 x 991 x 930 x 288 x 646 = 72530717915520
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.
423 : 1, 3, 9, 47, 141, 423
991 : 1, 991
930 : 1, 2, 3, 5, 6, 10, 15, 30, 31, 62, 93, 155, 186, 310, 465, 930
288 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96, 144, 288
646 : 1, 2, 17, 19, 34, 38, 323, 646
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 423,991,930,288,646, is 1.
Now, the common factors can be found like this.
423:3x 3x 47
991:991
930:2x 3x 5x 31
288:2x 2x 2x 2x 2x 3x 3
646:2x 17x 19
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 3x 3x 3 = 108
Therefore, the value for common factors is 108.
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 = 72530717915520/(1x108)
LCM = 72530717915520/108
LCM = 671580721440
Thus, we can understand that the LCM of 423,991,930,288,646 is 671580721440.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 423, 991, 930, 288, 646?
Answer: LCM of 423, 991, 930, 288, 646 is 671580721440.
2. How to calculate the LCM of 423, 991, 930, 288, 646?
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 423, 991, 930, 288, 646.
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}.