LCM of 561, 607, 216, 195, 605
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 561, 607, 216, 195, 605 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 561, 607, 216, 195, 605. So, keep reading to learn more.
Given numbers are 561,607,216,195,605
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 561,607,216,195,605 is 17530329960.
Find LCM of 561,607,216,195,605 with Prime Factorization
| 3 | 561, 607, 216, 195, 605 |
| 5 | 187, 607, 72, 65, 605 |
| 11 | 187, 607, 72, 13, 121 |
| 17, 607, 72, 13, 11 |
Multiply the prime numbers at the bottom and the left side.
3 x 5 x 11 x 17 x 607 x 72 x 13 x 11 = 17530329960
Therefore, the lowest common multiple of 561,607,216,195,605 is 17530329960.
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.
561 x 607 x 216 x 195 x 605 = 8677513330200
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.
561 : 1, 3, 11, 17, 33, 51, 187, 561
607 : 1, 607
216 : 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 108, 216
195 : 1, 3, 5, 13, 15, 39, 65, 195
605 : 1, 5, 11, 55, 121, 605
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 561,607,216,195,605, is 1.
Now, the common factors can be found like this.
561:3x 11x 17
607:607
216:2x 2x 2x 3x 3x 3
195:3x 5x 13
605:5x 11x 11
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 3x 5x 11 = 495
Therefore, the value for common factors is 495.
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 = 8677513330200/(1x495)
LCM = 8677513330200/495
LCM = 17530329960
Thus, we can understand that the LCM of 561,607,216,195,605 is 17530329960.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 561, 607, 216, 195, 605
1. What is the LCM of 561, 607, 216, 195, 605?
Answer: LCM of 561, 607, 216, 195, 605 is 17530329960.
2. How to calculate the LCM of 561, 607, 216, 195, 605?
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 561, 607, 216, 195, 605.
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}.