Find the LCM of 301, 583, 689, 418 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 301, 583, 689, 418. So, keep reading to learn more.
Given numbers are 301,583,689,418
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 301,583,689,418 is 86688602.
Find LCM of 301,583,689,418 with Prime Factorization
11 | 301, 583, 689, 418 |
53 | 301, 53, 689, 38 |
301, 1, 13, 38 |
Multiply the prime numbers at the bottom and the left side.
11 x 53 x 301 x 1 x 13 x 38 = 86688602
Therefore, the lowest common multiple of 301,583,689,418 is 86688602.
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.
301 x 583 x 689 x 418 = 50539454966
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.
301 : 1, 7, 43, 301
583 : 1, 11, 53, 583
689 : 1, 13, 53, 689
418 : 1, 2, 11, 19, 22, 38, 209, 418
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 301,583,689,418, is 1.
Now, the common factors can be found like this.
301:7x 43
583:11x 53
689:13x 53
418:2x 11x 19
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
11x 53 = 583
Therefore, the value for common factors is 583.
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 = 50539454966/(1x583)
LCM = 50539454966/583
LCM = 86688602
Thus, we can understand that the LCM of 301,583,689,418 is 86688602.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 301, 583, 689, 418?
Answer: LCM of 301, 583, 689, 418 is 86688602.
2. How to calculate the LCM of 301, 583, 689, 418?
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 301, 583, 689, 418.
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}.