Find the LCM of 444, 767, 921, 381, 428 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 444, 767, 921, 381, 428. So, keep reading to learn more.
Given numbers are 444,767,921,381,428
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 444,767,921,381,428 is 1420705979004.
Find LCM of 444,767,921,381,428 with Prime Factorization
2 | 444, 767, 921, 381, 428 |
2 | 222, 767, 921, 381, 214 |
3 | 111, 767, 921, 381, 107 |
37, 767, 307, 127, 107 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 37 x 767 x 307 x 127 x 107 = 1420705979004
Therefore, the lowest common multiple of 444,767,921,381,428 is 1420705979004.
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.
444 x 767 x 921 x 381 x 428 = 51145415244144
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.
444 : 1, 2, 3, 4, 6, 12, 37, 74, 111, 148, 222, 444
767 : 1, 13, 59, 767
921 : 1, 3, 307, 921
381 : 1, 3, 127, 381
428 : 1, 2, 4, 107, 214, 428
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 444,767,921,381,428, is 1.
Now, the common factors can be found like this.
444:2x 2x 3x 37
767:13x 59
921:3x 307
381:3x 127
428:2x 2x 107
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 3 = 36
Therefore, the value for common factors is 36.
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 = 51145415244144/(1x36)
LCM = 51145415244144/36
LCM = 1420705979004
Thus, we can understand that the LCM of 444,767,921,381,428 is 1420705979004.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 444, 767, 921, 381, 428?
Answer: LCM of 444, 767, 921, 381, 428 is 1420705979004.
2. How to calculate the LCM of 444, 767, 921, 381, 428?
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 444, 767, 921, 381, 428.
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}.