Find the LCM of 494, 195, 323, 721 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, 195, 323, 721. So, keep reading to learn more.
Given numbers are 494,195,323,721
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 494,195,323,721 is 90824370.
Find LCM of 494,195,323,721 with Prime Factorization
13 | 494, 195, 323, 721 |
19 | 38, 15, 323, 721 |
2, 15, 17, 721 |
Multiply the prime numbers at the bottom and the left side.
13 x 19 x 2 x 15 x 17 x 721 = 90824370
Therefore, the lowest common multiple of 494,195,323,721 is 90824370.
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 195 x 323 x 721 = 22433619390
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
195 : 1, 3, 5, 13, 15, 39, 65, 195
323 : 1, 17, 19, 323
721 : 1, 7, 103, 721
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 494,195,323,721, is 1.
Now, the common factors can be found like this.
494:2x 13x 19
195:3x 5x 13
323:17x 19
721:7x 103
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
13x 19 = 247
Therefore, the value for common factors is 247.
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 = 22433619390/(1x247)
LCM = 22433619390/247
LCM = 90824370
Thus, we can understand that the LCM of 494,195,323,721 is 90824370.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 494, 195, 323, 721?
Answer: LCM of 494, 195, 323, 721 is 90824370.
2. How to calculate the LCM of 494, 195, 323, 721?
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, 195, 323, 721.
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}.