LCM of 636, 480, 588, 306, 561
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 636, 480, 588, 306, 561 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 636, 480, 588, 306, 561. So, keep reading to learn more.
Given numbers are 636,480,588,306,561
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 636,480,588,306,561 is 699320160.
Find LCM of 636,480,588,306,561 with Prime Factorization
| 2 | 636, 480, 588, 306, 561 |
| 2 | 318, 240, 294, 153, 561 |
| 3 | 159, 120, 147, 153, 561 |
| 17 | 53, 40, 49, 51, 187 |
| 53, 40, 49, 3, 11 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 17 x 53 x 40 x 49 x 3 x 11 = 699320160
Therefore, the lowest common multiple of 636,480,588,306,561 is 699320160.
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.
636 x 480 x 588 x 306 x 561 = 30814843530240
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.
636 : 1, 2, 3, 4, 6, 12, 53, 106, 159, 212, 318, 636
480 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 80, 96, 120, 160, 240, 480
588 : 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 49, 84, 98, 147, 196, 294, 588
306 : 1, 2, 3, 6, 9, 17, 18, 34, 51, 102, 153, 306
561 : 1, 3, 11, 17, 33, 51, 187, 561
3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 636,480,588,306,561, is 3.
Now, the common factors can be found like this.
636:2x 2x 3x 53
480:2x 2x 2x 2x 2x 3x 5
588:2x 2x 3x 7x 7
306:2x 3x 3x 17
561:3x 11x 17
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 2x 2x 2x 2x 3x 3x 3x 17 = 14688
Therefore, the value for common factors is 14688.
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 = 30814843530240/(3x14688)
LCM = 30814843530240/44064
LCM = 699320160
Thus, we can understand that the LCM of 636,480,588,306,561 is 699320160.
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FAQs on LCM of 636, 480, 588, 306, 561
1. What is the LCM of 636, 480, 588, 306, 561?
Answer: LCM of 636, 480, 588, 306, 561 is 699320160.
2. How to calculate the LCM of 636, 480, 588, 306, 561?
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 636, 480, 588, 306, 561.
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}.