Find the LCM of 494, 646, 934, 362, 849 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, 646, 934, 362, 849. So, keep reading to learn more.
Given numbers are 494,646,934,362,849
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 494,646,934,362,849 is 602669226354.
Find LCM of 494,646,934,362,849 with Prime Factorization
2 | 494, 646, 934, 362, 849 |
19 | 247, 323, 467, 181, 849 |
13, 17, 467, 181, 849 |
Multiply the prime numbers at the bottom and the left side.
2 x 19 x 13 x 17 x 467 x 181 x 849 = 602669226354
Therefore, the lowest common multiple of 494,646,934,362,849 is 602669226354.
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 646 x 934 x 362 x 849 = 91605722405808
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
646 : 1, 2, 17, 19, 34, 38, 323, 646
934 : 1, 2, 467, 934
362 : 1, 2, 181, 362
849 : 1, 3, 283, 849
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 494,646,934,362,849, is 1.
Now, the common factors can be found like this.
494:2x 13x 19
646:2x 17x 19
934:2x 467
362:2x 181
849:3x 283
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 2x 2x 19 = 152
Therefore, the value for common factors is 152.
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 = 91605722405808/(1x152)
LCM = 91605722405808/152
LCM = 602669226354
Thus, we can understand that the LCM of 494,646,934,362,849 is 602669226354.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 494, 646, 934, 362, 849?
Answer: LCM of 494, 646, 934, 362, 849 is 602669226354.
2. How to calculate the LCM of 494, 646, 934, 362, 849?
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, 646, 934, 362, 849.
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}.