LCM of 255, 561, 578, 315, 649
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 255, 561, 578, 315, 649 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 255, 561, 578, 315, 649. So, keep reading to learn more.
Given numbers are 255,561,578,315,649
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 255,561,578,315,649 is 118163430.
Find LCM of 255,561,578,315,649 with Prime Factorization
| 3 | 255, 561, 578, 315, 649 |
| 5 | 85, 187, 578, 105, 649 |
| 11 | 17, 187, 578, 21, 649 |
| 17 | 17, 17, 578, 21, 59 |
| 1, 1, 34, 21, 59 |
Multiply the prime numbers at the bottom and the left side.
3 x 5 x 11 x 17 x 1 x 1 x 34 x 21 x 59 = 118163430
Therefore, the lowest common multiple of 255,561,578,315,649 is 118163430.
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.
255 x 561 x 578 x 315 x 649 = 16903869478650
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.
255 : 1, 3, 5, 15, 17, 51, 85, 255
561 : 1, 3, 11, 17, 33, 51, 187, 561
578 : 1, 2, 17, 34, 289, 578
315 : 1, 3, 5, 7, 9, 15, 21, 35, 45, 63, 105, 315
649 : 1, 11, 59, 649
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 255,561,578,315,649, is 1.
Now, the common factors can be found like this.
255:3x 5x 17
561:3x 11x 17
578:2x 17x 17
315:3x 3x 5x 7
649:11x 59
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 11x 17x 17 = 143055
Therefore, the value for common factors is 143055.
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 = 16903869478650/(1x143055)
LCM = 16903869478650/143055
LCM = 118163430
Thus, we can understand that the LCM of 255,561,578,315,649 is 118163430.
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FAQs on LCM of 255, 561, 578, 315, 649
1. What is the LCM of 255, 561, 578, 315, 649?
Answer: LCM of 255, 561, 578, 315, 649 is 118163430.
2. How to calculate the LCM of 255, 561, 578, 315, 649?
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 255, 561, 578, 315, 649.
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}.