Find the LCM of 364, 221, 663, 493 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 364, 221, 663, 493. So, keep reading to learn more.
Given numbers are 364,221,663,493
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 364,221,663,493 is 538356.
Find LCM of 364,221,663,493 with Prime Factorization
13 | 364, 221, 663, 493 |
17 | 28, 17, 51, 493 |
28, 1, 3, 29 |
Multiply the prime numbers at the bottom and the left side.
13 x 17 x 28 x 1 x 3 x 29 = 538356
Therefore, the lowest common multiple of 364,221,663,493 is 538356.
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.
364 x 221 x 663 x 493 = 26293845396
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.
364 : 1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364
221 : 1, 13, 17, 221
663 : 1, 3, 13, 17, 39, 51, 221, 663
493 : 1, 17, 29, 493
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 364,221,663,493, is 1.
Now, the common factors can be found like this.
364:2x 2x 7x 13
221:13x 17
663:3x 13x 17
493:17x 29
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
13x 13x 17x 17 = 48841
Therefore, the value for common factors is 48841.
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 = 26293845396/(1x48841)
LCM = 26293845396/48841
LCM = 538356
Thus, we can understand that the LCM of 364,221,663,493 is 538356.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 364, 221, 663, 493?
Answer: LCM of 364, 221, 663, 493 is 538356.
2. How to calculate the LCM of 364, 221, 663, 493?
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 364, 221, 663, 493.
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}.