LCM of 805, 872, 259, 240, 744
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 805, 872, 259, 240, 744 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 805, 872, 259, 240, 744. So, keep reading to learn more.
Given numbers are 805,872,259,240,744
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 805,872,259,240,744 is 4830888720.
Find LCM of 805,872,259,240,744 with Prime Factorization
| 2 | 805, 872, 259, 240, 744 |
| 2 | 805, 436, 259, 120, 372 |
| 2 | 805, 218, 259, 60, 186 |
| 3 | 805, 109, 259, 30, 93 |
| 5 | 805, 109, 259, 10, 31 |
| 7 | 161, 109, 259, 2, 31 |
| 23, 109, 37, 2, 31 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 5 x 7 x 23 x 109 x 37 x 2 x 31 = 4830888720
Therefore, the lowest common multiple of 805,872,259,240,744 is 4830888720.
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.
805 x 872 x 259 x 240 x 744 = 32463572198400
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.
805 : 1, 5, 7, 23, 35, 115, 161, 805
872 : 1, 2, 4, 8, 109, 218, 436, 872
259 : 1, 7, 37, 259
240 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 240
744 : 1, 2, 3, 4, 6, 8, 12, 24, 31, 62, 93, 124, 186, 248, 372, 744
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 805,872,259,240,744, is 1.
Now, the common factors can be found like this.
805:5x 7x 23
872:2x 2x 2x 109
259:7x 37
240:2x 2x 2x 2x 3x 5
744:2x 2x 2x 3x 31
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 2x 3x 5x 7 = 6720
Therefore, the value for common factors is 6720.
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 = 32463572198400/(1x6720)
LCM = 32463572198400/6720
LCM = 4830888720
Thus, we can understand that the LCM of 805,872,259,240,744 is 4830888720.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 805, 872, 259, 240, 744
1. What is the LCM of 805, 872, 259, 240, 744?
Answer: LCM of 805, 872, 259, 240, 744 is 4830888720.
2. How to calculate the LCM of 805, 872, 259, 240, 744?
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 805, 872, 259, 240, 744.
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}.