Find the LCM of 553, 320, 403, 214, 642 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 553, 320, 403, 214, 642. So, keep reading to learn more.
Given numbers are 553,320,403,214,642
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 553,320,403,214,642 is 22892076480.
Find LCM of 553,320,403,214,642 with Prime Factorization
2 | 553, 320, 403, 214, 642 |
107 | 553, 160, 403, 107, 321 |
553, 160, 403, 1, 3 |
Multiply the prime numbers at the bottom and the left side.
2 x 107 x 553 x 160 x 403 x 1 x 3 = 22892076480
Therefore, the lowest common multiple of 553,320,403,214,642 is 22892076480.
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.
553 x 320 x 403 x 214 x 642 = 9797808733440
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.
553 : 1, 7, 79, 553
320 : 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 160, 320
403 : 1, 13, 31, 403
214 : 1, 2, 107, 214
642 : 1, 2, 3, 6, 107, 214, 321, 642
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 553,320,403,214,642, is 1.
Now, the common factors can be found like this.
553:7x 79
320:2x 2x 2x 2x 2x 2x 5
403:13x 31
214:2x 107
642:2x 3x 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 107 = 428
Therefore, the value for common factors is 428.
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 = 9797808733440/(1x428)
LCM = 9797808733440/428
LCM = 22892076480
Thus, we can understand that the LCM of 553,320,403,214,642 is 22892076480.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 553, 320, 403, 214, 642?
Answer: LCM of 553, 320, 403, 214, 642 is 22892076480.
2. How to calculate the LCM of 553, 320, 403, 214, 642?
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 553, 320, 403, 214, 642.
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}.