LCM of 221, 646, 493, 696
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 221, 646, 493, 696 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 221, 646, 493, 696. So, keep reading to learn more.
Given numbers are 221,646,493,696
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 221,646,493,696 is 2922504.
Find LCM of 221,646,493,696 with Prime Factorization
| 2 | 221, 646, 493, 696 |
| 17 | 221, 323, 493, 348 |
| 29 | 13, 19, 29, 348 |
| 13, 19, 1, 12 |
Multiply the prime numbers at the bottom and the left side.
2 x 17 x 29 x 13 x 19 x 1 x 12 = 2922504
Therefore, the lowest common multiple of 221,646,493,696 is 2922504.
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.
221 x 646 x 493 x 696 = 48987012048
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.
221 : 1, 13, 17, 221
646 : 1, 2, 17, 19, 34, 38, 323, 646
493 : 1, 17, 29, 493
696 : 1, 2, 3, 4, 6, 8, 12, 24, 29, 58, 87, 116, 174, 232, 348, 696
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 221,646,493,696, is 1.
Now, the common factors can be found like this.
221:13x 17
646:2x 17x 19
493:17x 29
696:2x 2x 2x 3x 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 17x 17x 29 = 16762
Therefore, the value for common factors is 16762.
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 = 48987012048/(1x16762)
LCM = 48987012048/16762
LCM = 2922504
Thus, we can understand that the LCM of 221,646,493,696 is 2922504.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 221, 646, 493, 696
1. What is the LCM of 221, 646, 493, 696?
Answer: LCM of 221, 646, 493, 696 is 2922504.
2. How to calculate the LCM of 221, 646, 493, 696?
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 221, 646, 493, 696.
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}.