LCM of 440, 390, 285, 299, 669
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 440, 390, 285, 299, 669 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 440, 390, 285, 299, 669. So, keep reading to learn more.
Given numbers are 440,390,285,299,669
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 440,390,285,299,669 is 1672259160.
Find LCM of 440,390,285,299,669 with Prime Factorization
| 2 | 440, 390, 285, 299, 669 |
| 3 | 220, 195, 285, 299, 669 |
| 5 | 220, 65, 95, 299, 223 |
| 13 | 44, 13, 19, 299, 223 |
| 44, 1, 19, 23, 223 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 13 x 44 x 1 x 19 x 23 x 223 = 1672259160
Therefore, the lowest common multiple of 440,390,285,299,669 is 1672259160.
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.
440 x 390 x 285 x 299 x 669 = 9782716086000
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.
440 : 1, 2, 4, 5, 8, 10, 11, 20, 22, 40, 44, 55, 88, 110, 220, 440
390 : 1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 195, 390
285 : 1, 3, 5, 15, 19, 57, 95, 285
299 : 1, 13, 23, 299
669 : 1, 3, 223, 669
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 440,390,285,299,669, is 1.
Now, the common factors can be found like this.
440:2x 2x 2x 5x 11
390:2x 3x 5x 13
285:3x 5x 19
299:13x 23
669:3x 223
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 3x 5x 5x 13 = 5850
Therefore, the value for common factors is 5850.
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 = 9782716086000/(1x5850)
LCM = 9782716086000/5850
LCM = 1672259160
Thus, we can understand that the LCM of 440,390,285,299,669 is 1672259160.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 440, 390, 285, 299, 669
1. What is the LCM of 440, 390, 285, 299, 669?
Answer: LCM of 440, 390, 285, 299, 669 is 1672259160.
2. How to calculate the LCM of 440, 390, 285, 299, 669?
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 440, 390, 285, 299, 669.
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}.