LCM of 286, 439, 996, 561, 748
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 286, 439, 996, 561, 748 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 286, 439, 996, 561, 748. So, keep reading to learn more.
Given numbers are 286,439,996,561,748
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 286,439,996,561,748 is 1062940164.
Find LCM of 286,439,996,561,748 with Prime Factorization
| 2 | 286, 439, 996, 561, 748 |
| 2 | 143, 439, 498, 561, 374 |
| 3 | 143, 439, 249, 561, 187 |
| 11 | 143, 439, 83, 187, 187 |
| 17 | 13, 439, 83, 17, 17 |
| 13, 439, 83, 1, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 11 x 17 x 13 x 439 x 83 x 1 x 1 = 1062940164
Therefore, the lowest common multiple of 286,439,996,561,748 is 1062940164.
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.
286 x 439 x 996 x 561 x 748 = 52475230016352
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.
286 : 1, 2, 11, 13, 22, 26, 143, 286
439 : 1, 439
996 : 1, 2, 3, 4, 6, 12, 83, 166, 249, 332, 498, 996
561 : 1, 3, 11, 17, 33, 51, 187, 561
748 : 1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 286,439,996,561,748, is 1.
Now, the common factors can be found like this.
286:2x 11x 13
439:439
996:2x 2x 3x 83
561:3x 11x 17
748:2x 2x 11x 17
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 3x 11x 11x 17 = 49368
Therefore, the value for common factors is 49368.
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 = 52475230016352/(1x49368)
LCM = 52475230016352/49368
LCM = 1062940164
Thus, we can understand that the LCM of 286,439,996,561,748 is 1062940164.
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FAQs on LCM of 286, 439, 996, 561, 748
1. What is the LCM of 286, 439, 996, 561, 748?
Answer: LCM of 286, 439, 996, 561, 748 is 1062940164.
2. How to calculate the LCM of 286, 439, 996, 561, 748?
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 286, 439, 996, 561, 748.
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}.