Find the LCM of 444, 459, 802, 918 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 444, 459, 802, 918. So, keep reading to learn more.
Given numbers are 444,459,802,918
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 444,459,802,918 is 27240732.
Find LCM of 444,459,802,918 with Prime Factorization
2 | 444, 459, 802, 918 |
3 | 222, 459, 401, 459 |
3 | 74, 153, 401, 153 |
3 | 74, 51, 401, 51 |
17 | 74, 17, 401, 17 |
74, 1, 401, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 3 x 17 x 74 x 1 x 401 x 1 = 27240732
Therefore, the lowest common multiple of 444,459,802,918 is 27240732.
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.
444 x 459 x 802 x 918 = 150041951856
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.
444 : 1, 2, 3, 4, 6, 12, 37, 74, 111, 148, 222, 444
459 : 1, 3, 9, 17, 27, 51, 153, 459
802 : 1, 2, 401, 802
918 : 1, 2, 3, 6, 9, 17, 18, 27, 34, 51, 54, 102, 153, 306, 459, 918
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 444,459,802,918, is 1.
Now, the common factors can be found like this.
444:2x 2x 3x 37
459:3x 3x 3x 17
802:2x 401
918:2x 3x 3x 3x 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 3x 3x 3x 3x 17 = 5508
Therefore, the value for common factors is 5508.
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 = 150041951856/(1x5508)
LCM = 150041951856/5508
LCM = 27240732
Thus, we can understand that the LCM of 444,459,802,918 is 27240732.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 444, 459, 802, 918?
Answer: LCM of 444, 459, 802, 918 is 27240732.
2. How to calculate the LCM of 444, 459, 802, 918?
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 444, 459, 802, 918.
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}.