Find the LCM of 494, 385, 221, 921, 283 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 494, 385, 221, 921, 283. So, keep reading to learn more.
Given numbers are 494,385,221,921,283
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 494,385,221,921,283 is 842718766890.
Find LCM of 494,385,221,921,283 with Prime Factorization
13 | 494, 385, 221, 921, 283 |
38, 385, 17, 921, 283 |
Multiply the prime numbers at the bottom and the left side.
13 x 38 x 385 x 17 x 921 x 283 = 842718766890
Therefore, the lowest common multiple of 494,385,221,921,283 is 842718766890.
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.
494 x 385 x 221 x 921 x 283 = 10955343969570
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.
494 : 1, 2, 13, 19, 26, 38, 247, 494
385 : 1, 5, 7, 11, 35, 55, 77, 385
221 : 1, 13, 17, 221
921 : 1, 3, 307, 921
283 : 1, 283
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 494,385,221,921,283, is 1.
Now, the common factors can be found like this.
494:2x 13x 19
385:5x 7x 11
221:13x 17
921:3x 307
283:283
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
13 = 13
Therefore, the value for common factors is 13.
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 = 10955343969570/(1x13)
LCM = 10955343969570/13
LCM = 842718766890
Thus, we can understand that the LCM of 494,385,221,921,283 is 842718766890.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 494, 385, 221, 921, 283?
Answer: LCM of 494, 385, 221, 921, 283 is 842718766890.
2. How to calculate the LCM of 494, 385, 221, 921, 283?
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 494, 385, 221, 921, 283.
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}.