Find the LCM of 609, 201, 547, 354, 590 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 609, 201, 547, 354, 590. So, keep reading to learn more.
Given numbers are 609,201,547,354,590
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 609,201,547,354,590 is 13168352190.
Find LCM of 609,201,547,354,590 with Prime Factorization
2 | 609, 201, 547, 354, 590 |
3 | 609, 201, 547, 177, 295 |
59 | 203, 67, 547, 59, 295 |
203, 67, 547, 1, 5 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 59 x 203 x 67 x 547 x 1 x 5 = 13168352190
Therefore, the lowest common multiple of 609,201,547,354,590 is 13168352190.
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.
609 x 201 x 547 x 354 x 590 = 13984790025780
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.
609 : 1, 3, 7, 21, 29, 87, 203, 609
201 : 1, 3, 67, 201
547 : 1, 547
354 : 1, 2, 3, 6, 59, 118, 177, 354
590 : 1, 2, 5, 10, 59, 118, 295, 590
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 609,201,547,354,590, is 1.
Now, the common factors can be found like this.
609:3x 7x 29
201:3x 67
547:547
354:2x 3x 59
590:2x 5x 59
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 3x 59 = 1062
Therefore, the value for common factors is 1062.
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 = 13984790025780/(1x1062)
LCM = 13984790025780/1062
LCM = 13168352190
Thus, we can understand that the LCM of 609,201,547,354,590 is 13168352190.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 609, 201, 547, 354, 590?
Answer: LCM of 609, 201, 547, 354, 590 is 13168352190.
2. How to calculate the LCM of 609, 201, 547, 354, 590?
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 609, 201, 547, 354, 590.
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}.