Find the LCM of 921, 628, 638, 406 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 921, 628, 638, 406. So, keep reading to learn more.
Given numbers are 921,628,638,406
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 921,628,638,406 is 1291540404.
Find LCM of 921,628,638,406 with Prime Factorization
2 | 921, 628, 638, 406 |
29 | 921, 314, 319, 203 |
921, 314, 11, 7 |
Multiply the prime numbers at the bottom and the left side.
2 x 29 x 921 x 314 x 11 x 7 = 1291540404
Therefore, the lowest common multiple of 921,628,638,406 is 1291540404.
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.
921 x 628 x 638 x 406 = 149818686864
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.
921 : 1, 3, 307, 921
628 : 1, 2, 4, 157, 314, 628
638 : 1, 2, 11, 22, 29, 58, 319, 638
406 : 1, 2, 7, 14, 29, 58, 203, 406
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 921,628,638,406, is 1.
Now, the common factors can be found like this.
921:3x 307
628:2x 2x 157
638:2x 11x 29
406:2x 7x 29
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 29 = 116
Therefore, the value for common factors is 116.
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 = 149818686864/(1x116)
LCM = 149818686864/116
LCM = 1291540404
Thus, we can understand that the LCM of 921,628,638,406 is 1291540404.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 921, 628, 638, 406?
Answer: LCM of 921, 628, 638, 406 is 1291540404.
2. How to calculate the LCM of 921, 628, 638, 406?
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 921, 628, 638, 406.
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}.