LCM of 408, 506, 869, 920
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 408, 506, 869, 920 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 408, 506, 869, 920. So, keep reading to learn more.
Given numbers are 408,506,869,920
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 408,506,869,920 is 40773480.
Find LCM of 408,506,869,920 with Prime Factorization
| 2 | 408, 506, 869, 920 |
| 2 | 204, 253, 869, 460 |
| 2 | 102, 253, 869, 230 |
| 11 | 51, 253, 869, 115 |
| 23 | 51, 23, 79, 115 |
| 51, 1, 79, 5 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 11 x 23 x 51 x 1 x 79 x 5 = 40773480
Therefore, the lowest common multiple of 408,506,869,920 is 40773480.
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.
408 x 506 x 869 x 920 = 165051047040
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.
408 : 1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408
506 : 1, 2, 11, 22, 23, 46, 253, 506
869 : 1, 11, 79, 869
920 : 1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 408,506,869,920, is 1.
Now, the common factors can be found like this.
408:2x 2x 2x 3x 17
506:2x 11x 23
869:11x 79
920:2x 2x 2x 5x 23
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 11x 23 = 4048
Therefore, the value for common factors is 4048.
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 = 165051047040/(1x4048)
LCM = 165051047040/4048
LCM = 40773480
Thus, we can understand that the LCM of 408,506,869,920 is 40773480.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 408, 506, 869, 920
1. What is the LCM of 408, 506, 869, 920?
Answer: LCM of 408, 506, 869, 920 is 40773480.
2. How to calculate the LCM of 408, 506, 869, 920?
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 408, 506, 869, 920.
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}.