LCM of 636, 990, 713, 742, 321
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 636, 990, 713, 742, 321 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, 990, 713, 742, 321. So, keep reading to learn more.
Given numbers are 636,990,713,742,321
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 636,990,713,742,321 is 56041842780.
Find LCM of 636,990,713,742,321 with Prime Factorization
| 2 | 636, 990, 713, 742, 321 |
| 3 | 318, 495, 713, 371, 321 |
| 53 | 106, 165, 713, 371, 107 |
| 2, 165, 713, 7, 107 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 53 x 2 x 165 x 713 x 7 x 107 = 56041842780
Therefore, the lowest common multiple of 636,990,713,742,321 is 56041842780.
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 990 x 713 x 742 x 321 = 106927836024240
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
990 : 1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 30, 33, 45, 55, 66, 90, 99, 110, 165, 198, 330, 495, 990
713 : 1, 23, 31, 713
742 : 1, 2, 7, 14, 53, 106, 371, 742
321 : 1, 3, 107, 321
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 636,990,713,742,321, is 1.
Now, the common factors can be found like this.
636:2x 2x 3x 53
990:2x 3x 3x 5x 11
713:23x 31
742:2x 7x 53
321:3x 107
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 3x 3x 53 = 1908
Therefore, the value for common factors is 1908.
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 = 106927836024240/(1x1908)
LCM = 106927836024240/1908
LCM = 56041842780
Thus, we can understand that the LCM of 636,990,713,742,321 is 56041842780.
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FAQs on LCM of 636, 990, 713, 742, 321
1. What is the LCM of 636, 990, 713, 742, 321?
Answer: LCM of 636, 990, 713, 742, 321 is 56041842780.
2. How to calculate the LCM of 636, 990, 713, 742, 321?
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, 990, 713, 742, 321.
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}.