LCM of 667, 442, 649, 465, 814
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 667, 442, 649, 465, 814 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 667, 442, 649, 465, 814. So, keep reading to learn more.
Given numbers are 667,442,649,465,814
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 667,442,649,465,814 is 3291906390630.
Find LCM of 667,442,649,465,814 with Prime Factorization
| 2 | 667, 442, 649, 465, 814 |
| 11 | 667, 221, 649, 465, 407 |
| 667, 221, 59, 465, 37 |
Multiply the prime numbers at the bottom and the left side.
2 x 11 x 667 x 221 x 59 x 465 x 37 = 3291906390630
Therefore, the lowest common multiple of 667,442,649,465,814 is 3291906390630.
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.
667 x 442 x 649 x 465 x 814 = 72421940593860
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.
667 : 1, 23, 29, 667
442 : 1, 2, 13, 17, 26, 34, 221, 442
649 : 1, 11, 59, 649
465 : 1, 3, 5, 15, 31, 93, 155, 465
814 : 1, 2, 11, 22, 37, 74, 407, 814
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 667,442,649,465,814, is 1.
Now, the common factors can be found like this.
667:23x 29
442:2x 13x 17
649:11x 59
465:3x 5x 31
814:2x 11x 37
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 11 = 22
Therefore, the value for common factors is 22.
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 = 72421940593860/(1x22)
LCM = 72421940593860/22
LCM = 3291906390630
Thus, we can understand that the LCM of 667,442,649,465,814 is 3291906390630.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 667, 442, 649, 465, 814
1. What is the LCM of 667, 442, 649, 465, 814?
Answer: LCM of 667, 442, 649, 465, 814 is 3291906390630.
2. How to calculate the LCM of 667, 442, 649, 465, 814?
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 667, 442, 649, 465, 814.
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}.