Find the LCM of 901, 742, 236, 903, 288 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 901, 742, 236, 903, 288. So, keep reading to learn more.
Given numbers are 901,742,236,903,288
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 901,742,236,903,288 is 4608247392.
Find LCM of 901,742,236,903,288 with Prime Factorization
2 | 901, 742, 236, 903, 288 |
2 | 901, 371, 118, 903, 144 |
3 | 901, 371, 59, 903, 72 |
7 | 901, 371, 59, 301, 24 |
53 | 901, 53, 59, 43, 24 |
17, 1, 59, 43, 24 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 7 x 53 x 17 x 1 x 59 x 43 x 24 = 4608247392
Therefore, the lowest common multiple of 901,742,236,903,288 is 4608247392.
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.
901 x 742 x 236 x 903 x 288 = 41031834778368
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.
901 : 1, 17, 53, 901
742 : 1, 2, 7, 14, 53, 106, 371, 742
236 : 1, 2, 4, 59, 118, 236
903 : 1, 3, 7, 21, 43, 129, 301, 903
288 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96, 144, 288
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 901,742,236,903,288, is 1.
Now, the common factors can be found like this.
901:17x 53
742:2x 7x 53
236:2x 2x 59
903:3x 7x 43
288:2x 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 2x 3x 7x 53 = 8904
Therefore, the value for common factors is 8904.
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 = 41031834778368/(1x8904)
LCM = 41031834778368/8904
LCM = 4608247392
Thus, we can understand that the LCM of 901,742,236,903,288 is 4608247392.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 901, 742, 236, 903, 288?
Answer: LCM of 901, 742, 236, 903, 288 is 4608247392.
2. How to calculate the LCM of 901, 742, 236, 903, 288?
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 901, 742, 236, 903, 288.
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}.