Find the LCM of 494, 527, 583, 418, 770 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, 527, 583, 418, 770. So, keep reading to learn more.
Given numbers are 494,527,583,418,770
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 494,527,583,418,770 is 5312196890.
Find LCM of 494,527,583,418,770 with Prime Factorization
2 | 494, 527, 583, 418, 770 |
11 | 247, 527, 583, 209, 385 |
19 | 247, 527, 53, 19, 35 |
13, 527, 53, 1, 35 |
Multiply the prime numbers at the bottom and the left side.
2 x 11 x 19 x 13 x 527 x 53 x 1 x 35 = 5312196890
Therefore, the lowest common multiple of 494,527,583,418,770 is 5312196890.
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 527 x 583 x 418 x 770 = 48850962600440
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
527 : 1, 17, 31, 527
583 : 1, 11, 53, 583
418 : 1, 2, 11, 19, 22, 38, 209, 418
770 : 1, 2, 5, 7, 10, 11, 14, 22, 35, 55, 70, 77, 110, 154, 385, 770
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 494,527,583,418,770, is 1.
Now, the common factors can be found like this.
494:2x 13x 19
527:17x 31
583:11x 53
418:2x 11x 19
770:2x 5x 7x 11
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 11x 11x 19 = 9196
Therefore, the value for common factors is 9196.
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 = 48850962600440/(1x9196)
LCM = 48850962600440/9196
LCM = 5312196890
Thus, we can understand that the LCM of 494,527,583,418,770 is 5312196890.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 494, 527, 583, 418, 770?
Answer: LCM of 494, 527, 583, 418, 770 is 5312196890.
2. How to calculate the LCM of 494, 527, 583, 418, 770?
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, 527, 583, 418, 770.
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}.