LCM of 416, 154, 253, 814, 511
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 416, 154, 253, 814, 511 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 416, 154, 253, 814, 511. So, keep reading to learn more.
Given numbers are 416,154,253,814,511
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 416,154,253,814,511 is 1989923936.
Find LCM of 416,154,253,814,511 with Prime Factorization
| 2 | 416, 154, 253, 814, 511 |
| 7 | 208, 77, 253, 407, 511 |
| 11 | 208, 11, 253, 407, 73 |
| 208, 1, 23, 37, 73 |
Multiply the prime numbers at the bottom and the left side.
2 x 7 x 11 x 208 x 1 x 23 x 37 x 73 = 1989923936
Therefore, the lowest common multiple of 416,154,253,814,511 is 1989923936.
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.
416 x 154 x 253 x 814 x 511 = 6741862295168
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.
416 : 1, 2, 4, 8, 13, 16, 26, 32, 52, 104, 208, 416
154 : 1, 2, 7, 11, 14, 22, 77, 154
253 : 1, 11, 23, 253
814 : 1, 2, 11, 22, 37, 74, 407, 814
511 : 1, 7, 73, 511
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 416,154,253,814,511, is 1.
Now, the common factors can be found like this.
416:2x 2x 2x 2x 2x 13
154:2x 7x 11
253:11x 23
814:2x 11x 37
511:7x 73
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 7x 11x 11 = 3388
Therefore, the value for common factors is 3388.
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 = 6741862295168/(1x3388)
LCM = 6741862295168/3388
LCM = 1989923936
Thus, we can understand that the LCM of 416,154,253,814,511 is 1989923936.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 416, 154, 253, 814, 511
1. What is the LCM of 416, 154, 253, 814, 511?
Answer: LCM of 416, 154, 253, 814, 511 is 1989923936.
2. How to calculate the LCM of 416, 154, 253, 814, 511?
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 416, 154, 253, 814, 511.
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}.