Find the LCM of 442, 828, 460, 972, 759 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, 828, 460, 972, 759. So, keep reading to learn more.
Given numbers are 442,828,460,972,759
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 442,828,460,972,759 is 271737180.
Find LCM of 442,828,460,972,759 with Prime Factorization
2 | 442, 828, 460, 972, 759 |
2 | 221, 414, 230, 486, 759 |
3 | 221, 207, 115, 243, 759 |
3 | 221, 69, 115, 81, 253 |
23 | 221, 23, 115, 27, 253 |
221, 1, 5, 27, 11 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 23 x 221 x 1 x 5 x 27 x 11 = 271737180
Therefore, the lowest common multiple of 442,828,460,972,759 is 271737180.
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 828 x 460 x 972 x 759 = 124199108542080
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
828 : 1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828
460 : 1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460
972 : 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972
759 : 1, 3, 11, 23, 33, 69, 253, 759
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 442,828,460,972,759, is 1.
Now, the common factors can be found like this.
442:2x 13x 17
828:2x 2x 3x 3x 23
460:2x 2x 5x 23
972:2x 2x 3x 3x 3x 3x 3
759:3x 11x 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 2x 3x 3x 3x 23x 23 = 457056
Therefore, the value for common factors is 457056.
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 = 124199108542080/(1x457056)
LCM = 124199108542080/457056
LCM = 271737180
Thus, we can understand that the LCM of 442,828,460,972,759 is 271737180.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 442, 828, 460, 972, 759?
Answer: LCM of 442, 828, 460, 972, 759 is 271737180.
2. How to calculate the LCM of 442, 828, 460, 972, 759?
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, 828, 460, 972, 759.
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}.