LCM of 636, 913, 581, 339
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 636, 913, 581, 339 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, 913, 581, 339. So, keep reading to learn more.
Given numbers are 636,913,581,339
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 636,913,581,339 is 459308388.
Find LCM of 636,913,581,339 with Prime Factorization
| 3 | 636, 913, 581, 339 |
| 83 | 212, 913, 581, 113 |
| 212, 11, 7, 113 |
Multiply the prime numbers at the bottom and the left side.
3 x 83 x 212 x 11 x 7 x 113 = 459308388
Therefore, the lowest common multiple of 636,913,581,339 is 459308388.
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 913 x 581 x 339 = 114367788612
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
913 : 1, 11, 83, 913
581 : 1, 7, 83, 581
339 : 1, 3, 113, 339
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 636,913,581,339, is 1.
Now, the common factors can be found like this.
636:2x 2x 3x 53
913:11x 83
581:7x 83
339:3x 113
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 83 = 249
Therefore, the value for common factors is 249.
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 = 114367788612/(1x249)
LCM = 114367788612/249
LCM = 459308388
Thus, we can understand that the LCM of 636,913,581,339 is 459308388.
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FAQs on LCM of 636, 913, 581, 339
1. What is the LCM of 636, 913, 581, 339?
Answer: LCM of 636, 913, 581, 339 is 459308388.
2. How to calculate the LCM of 636, 913, 581, 339?
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, 913, 581, 339.
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}.