Find the LCM of 598, 209, 427, 506, 659 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 598, 209, 427, 506, 659. So, keep reading to learn more.
Given numbers are 598,209,427,506,659
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 598,209,427,506,659 is 35169059926.
Find LCM of 598,209,427,506,659 with Prime Factorization
2 | 598, 209, 427, 506, 659 |
11 | 299, 209, 427, 253, 659 |
23 | 299, 19, 427, 23, 659 |
13, 19, 427, 1, 659 |
Multiply the prime numbers at the bottom and the left side.
2 x 11 x 23 x 13 x 19 x 427 x 1 x 659 = 35169059926
Therefore, the lowest common multiple of 598,209,427,506,659 is 35169059926.
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.
598 x 209 x 427 x 506 x 659 = 17795544322556
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.
598 : 1, 2, 13, 23, 26, 46, 299, 598
209 : 1, 11, 19, 209
427 : 1, 7, 61, 427
506 : 1, 2, 11, 22, 23, 46, 253, 506
659 : 1, 659
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 598,209,427,506,659, is 1.
Now, the common factors can be found like this.
598:2x 13x 23
209:11x 19
427:7x 61
506:2x 11x 23
659:659
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 11x 23 = 506
Therefore, the value for common factors is 506.
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 = 17795544322556/(1x506)
LCM = 17795544322556/506
LCM = 35169059926
Thus, we can understand that the LCM of 598,209,427,506,659 is 35169059926.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 598, 209, 427, 506, 659?
Answer: LCM of 598, 209, 427, 506, 659 is 35169059926.
2. How to calculate the LCM of 598, 209, 427, 506, 659?
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 598, 209, 427, 506, 659.
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}.