Find the LCM of 493, 697, 667, 986, 332 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 493, 697, 667, 986, 332. So, keep reading to learn more.
Given numbers are 493,697,667,986,332
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 493,697,667,986,332 is 154346468.
Find LCM of 493,697,667,986,332 with Prime Factorization
2 | 493, 697, 667, 986, 332 |
17 | 493, 697, 667, 493, 166 |
29 | 29, 41, 667, 29, 166 |
1, 41, 23, 1, 166 |
Multiply the prime numbers at the bottom and the left side.
2 x 17 x 29 x 1 x 41 x 23 x 1 x 166 = 154346468
Therefore, the lowest common multiple of 493,697,667,986,332 is 154346468.
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.
493 x 697 x 667 x 986 x 332 = 75027509401864
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.
493 : 1, 17, 29, 493
697 : 1, 17, 41, 697
667 : 1, 23, 29, 667
986 : 1, 2, 17, 29, 34, 58, 493, 986
332 : 1, 2, 4, 83, 166, 332
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 493,697,667,986,332, is 1.
Now, the common factors can be found like this.
493:17x 29
697:17x 41
667:23x 29
986:2x 17x 29
332:2x 2x 83
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 17x 17x 29x 29 = 486098
Therefore, the value for common factors is 486098.
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 = 75027509401864/(1x486098)
LCM = 75027509401864/486098
LCM = 154346468
Thus, we can understand that the LCM of 493,697,667,986,332 is 154346468.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 493, 697, 667, 986, 332?
Answer: LCM of 493, 697, 667, 986, 332 is 154346468.
2. How to calculate the LCM of 493, 697, 667, 986, 332?
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 493, 697, 667, 986, 332.
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}.