Find the LCM of 572, 288, 162, 382, 138 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 572, 288, 162, 382, 138. So, keep reading to learn more.
Given numbers are 572,288,162,382,138
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 572,288,162,382,138 is 1628291808.
Find LCM of 572,288,162,382,138 with Prime Factorization
2 | 572, 288, 162, 382, 138 |
2 | 286, 144, 81, 191, 69 |
3 | 143, 72, 81, 191, 69 |
3 | 143, 24, 27, 191, 23 |
143, 8, 9, 191, 23 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 143 x 8 x 9 x 191 x 23 = 1628291808
Therefore, the lowest common multiple of 572,288,162,382,138 is 1628291808.
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.
572 x 288 x 162 x 382 x 138 = 1406844122112
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.
572 : 1, 2, 4, 11, 13, 22, 26, 44, 52, 143, 286, 572
288 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96, 144, 288
162 : 1, 2, 3, 6, 9, 18, 27, 54, 81, 162
382 : 1, 2, 191, 382
138 : 1, 2, 3, 6, 23, 46, 69, 138
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 572,288,162,382,138, is 2.
Now, the common factors can be found like this.
572:2x 2x 11x 13
288:2x 2x 2x 2x 2x 3x 3
162:2x 3x 3x 3x 3
382:2x 191
138:2x 3x 23
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 3x 3x 3 = 432
Therefore, the value for common factors is 432.
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 = 1406844122112/(2x432)
LCM = 1406844122112/864
LCM = 1628291808
Thus, we can understand that the LCM of 572,288,162,382,138 is 1628291808.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 572, 288, 162, 382, 138?
Answer: LCM of 572, 288, 162, 382, 138 is 1628291808.
2. How to calculate the LCM of 572, 288, 162, 382, 138?
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 572, 288, 162, 382, 138.
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}.