Find the LCM of 494, 635, 197, 706, 395 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, 635, 197, 706, 395. So, keep reading to learn more.
Given numbers are 494,635,197,706,395
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 494,635,197,706,395 is 1723330986910.
Find LCM of 494,635,197,706,395 with Prime Factorization
2 | 494, 635, 197, 706, 395 |
5 | 247, 635, 197, 353, 395 |
247, 127, 197, 353, 79 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 247 x 127 x 197 x 353 x 79 = 1723330986910
Therefore, the lowest common multiple of 494,635,197,706,395 is 1723330986910.
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 635 x 197 x 706 x 395 = 17233309869100
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
635 : 1, 5, 127, 635
197 : 1, 197
706 : 1, 2, 353, 706
395 : 1, 5, 79, 395
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 494,635,197,706,395, is 1.
Now, the common factors can be found like this.
494:2x 13x 19
635:5x 127
197:197
706:2x 353
395:5x 79
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 5 = 10
Therefore, the value for common factors is 10.
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 = 17233309869100/(1x10)
LCM = 17233309869100/10
LCM = 1723330986910
Thus, we can understand that the LCM of 494,635,197,706,395 is 1723330986910.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 494, 635, 197, 706, 395?
Answer: LCM of 494, 635, 197, 706, 395 is 1723330986910.
2. How to calculate the LCM of 494, 635, 197, 706, 395?
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, 635, 197, 706, 395.
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}.