LCM of 440, 578, 662, 691, 440
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 440, 578, 662, 691, 440 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, 578, 662, 691, 440. So, keep reading to learn more.
Given numbers are 440,578,662,691,440
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 440,578,662,691,440 is 29084162360.
Find LCM of 440,578,662,691,440 with Prime Factorization
| 2 | 440, 578, 662, 691, 440 |
| 2 | 220, 289, 331, 691, 220 |
| 2 | 110, 289, 331, 691, 110 |
| 5 | 55, 289, 331, 691, 55 |
| 11 | 11, 289, 331, 691, 11 |
| 1, 289, 331, 691, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 5 x 11 x 1 x 289 x 331 x 691 x 1 = 29084162360
Therefore, the lowest common multiple of 440,578,662,691,440 is 29084162360.
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 578 x 662 x 691 x 440 = 51188125753600
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
578 : 1, 2, 17, 34, 289, 578
662 : 1, 2, 331, 662
691 : 1, 691
440 : 1, 2, 4, 5, 8, 10, 11, 20, 22, 40, 44, 55, 88, 110, 220, 440
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 440,578,662,691,440, is 1.
Now, the common factors can be found like this.
440:2x 2x 2x 5x 11
578:2x 17x 17
662:2x 331
691:691
440:2x 2x 2x 5x 11
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 5x 11 = 1760
Therefore, the value for common factors is 1760.
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 = 51188125753600/(1x1760)
LCM = 51188125753600/1760
LCM = 29084162360
Thus, we can understand that the LCM of 440,578,662,691,440 is 29084162360.
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, 578, 662, 691, 440
1. What is the LCM of 440, 578, 662, 691, 440?
Answer: LCM of 440, 578, 662, 691, 440 is 29084162360.
2. How to calculate the LCM of 440, 578, 662, 691, 440?
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, 578, 662, 691, 440.
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}.