LCM of 636, 736, 559, 876, 212
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 636, 736, 559, 876, 212 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, 736, 559, 876, 212. So, keep reading to learn more.
Given numbers are 636,736,559,876,212
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 636,736,559,876,212 is 4775398368.
Find LCM of 636,736,559,876,212 with Prime Factorization
| 2 | 636, 736, 559, 876, 212 |
| 2 | 318, 368, 559, 438, 106 |
| 3 | 159, 184, 559, 219, 53 |
| 53 | 53, 184, 559, 73, 53 |
| 1, 184, 559, 73, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 53 x 1 x 184 x 559 x 73 x 1 = 4775398368
Therefore, the lowest common multiple of 636,736,559,876,212 is 4775398368.
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 736 x 559 x 876 x 212 = 48594453792768
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
736 : 1, 2, 4, 8, 16, 23, 32, 46, 92, 184, 368, 736
559 : 1, 13, 43, 559
876 : 1, 2, 3, 4, 6, 12, 73, 146, 219, 292, 438, 876
212 : 1, 2, 4, 53, 106, 212
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 636,736,559,876,212, is 1.
Now, the common factors can be found like this.
636:2x 2x 3x 53
736:2x 2x 2x 2x 2x 23
559:13x 43
876:2x 2x 3x 73
212:2x 2x 53
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 2x 3x 53 = 10176
Therefore, the value for common factors is 10176.
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 = 48594453792768/(1x10176)
LCM = 48594453792768/10176
LCM = 4775398368
Thus, we can understand that the LCM of 636,736,559,876,212 is 4775398368.
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FAQs on LCM of 636, 736, 559, 876, 212
1. What is the LCM of 636, 736, 559, 876, 212?
Answer: LCM of 636, 736, 559, 876, 212 is 4775398368.
2. How to calculate the LCM of 636, 736, 559, 876, 212?
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, 736, 559, 876, 212.
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}.