LCM of 468, 287, 949, 663, 948
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 468, 287, 949, 663, 948 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 468, 287, 949, 663, 948. So, keep reading to learn more.
Given numbers are 468,287,949,663,948
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 468,287,949,663,948 is 13168206324.
Find LCM of 468,287,949,663,948 with Prime Factorization
| 2 | 468, 287, 949, 663, 948 |
| 2 | 234, 287, 949, 663, 474 |
| 3 | 117, 287, 949, 663, 237 |
| 13 | 39, 287, 949, 221, 79 |
| 3, 287, 73, 17, 79 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 13 x 3 x 287 x 73 x 17 x 79 = 13168206324
Therefore, the lowest common multiple of 468,287,949,663,948 is 13168206324.
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.
468 x 287 x 949 x 663 x 948 = 80115367275216
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.
468 : 1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468
287 : 1, 7, 41, 287
949 : 1, 13, 73, 949
663 : 1, 3, 13, 17, 39, 51, 221, 663
948 : 1, 2, 3, 4, 6, 12, 79, 158, 237, 316, 474, 948
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 468,287,949,663,948, is 1.
Now, the common factors can be found like this.
468:2x 2x 3x 3x 13
287:7x 41
949:13x 73
663:3x 13x 17
948:2x 2x 3x 79
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 3x 3x 13x 13 = 6084
Therefore, the value for common factors is 6084.
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 = 80115367275216/(1x6084)
LCM = 80115367275216/6084
LCM = 13168206324
Thus, we can understand that the LCM of 468,287,949,663,948 is 13168206324.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 468, 287, 949, 663, 948
1. What is the LCM of 468, 287, 949, 663, 948?
Answer: LCM of 468, 287, 949, 663, 948 is 13168206324.
2. How to calculate the LCM of 468, 287, 949, 663, 948?
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 468, 287, 949, 663, 948.
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}.