Find the LCM of 442, 247, 559, 777, 402 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 442, 247, 559, 777, 402. So, keep reading to learn more.
Given numbers are 442,247,559,777,402
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 442,247,559,777,402 is 18799233726.
Find LCM of 442,247,559,777,402 with Prime Factorization
2 | 442, 247, 559, 777, 402 |
3 | 221, 247, 559, 777, 201 |
13 | 221, 247, 559, 259, 67 |
17, 19, 43, 259, 67 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 13 x 17 x 19 x 43 x 259 x 67 = 18799233726
Therefore, the lowest common multiple of 442,247,559,777,402 is 18799233726.
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.
442 x 247 x 559 x 777 x 402 = 19062422998164
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.
442 : 1, 2, 13, 17, 26, 34, 221, 442
247 : 1, 13, 19, 247
559 : 1, 13, 43, 559
777 : 1, 3, 7, 21, 37, 111, 259, 777
402 : 1, 2, 3, 6, 67, 134, 201, 402
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 442,247,559,777,402, is 1.
Now, the common factors can be found like this.
442:2x 13x 17
247:13x 19
559:13x 43
777:3x 7x 37
402:2x 3x 67
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 13x 13 = 1014
Therefore, the value for common factors is 1014.
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 = 19062422998164/(1x1014)
LCM = 19062422998164/1014
LCM = 18799233726
Thus, we can understand that the LCM of 442,247,559,777,402 is 18799233726.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 442, 247, 559, 777, 402?
Answer: LCM of 442, 247, 559, 777, 402 is 18799233726.
2. How to calculate the LCM of 442, 247, 559, 777, 402?
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 442, 247, 559, 777, 402.
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}.