LCM of 639, 802, 726, 576
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 639, 802, 726, 576 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 639, 802, 726, 576. So, keep reading to learn more.
Given numbers are 639,802,726,576
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 639,802,726,576 is 1984314816.
Find LCM of 639,802,726,576 with Prime Factorization
| 2 | 639, 802, 726, 576 |
| 3 | 639, 401, 363, 288 |
| 3 | 213, 401, 121, 96 |
| 71, 401, 121, 32 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 71 x 401 x 121 x 32 = 1984314816
Therefore, the lowest common multiple of 639,802,726,576 is 1984314816.
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.
639 x 802 x 726 x 576 = 214306000128
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.
639 : 1, 3, 9, 71, 213, 639
802 : 1, 2, 401, 802
726 : 1, 2, 3, 6, 11, 22, 33, 66, 121, 242, 363, 726
576 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 64, 72, 96, 144, 192, 288, 576
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 639,802,726,576, is 1.
Now, the common factors can be found like this.
639:3x 3x 71
802:2x 401
726:2x 3x 11x 11
576:2x 2x 2x 2x 2x 2x 3x 3
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 3 = 108
Therefore, the value for common factors is 108.
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 = 214306000128/(1x108)
LCM = 214306000128/108
LCM = 1984314816
Thus, we can understand that the LCM of 639,802,726,576 is 1984314816.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 639, 802, 726, 576
1. What is the LCM of 639, 802, 726, 576?
Answer: LCM of 639, 802, 726, 576 is 1984314816.
2. How to calculate the LCM of 639, 802, 726, 576?
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 639, 802, 726, 576.
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}.