LCM of 439, 974, 312, 581, 996
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 439, 974, 312, 581, 996 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 439, 974, 312, 581, 996. So, keep reading to learn more.
Given numbers are 439,974,312,581,996
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 439,974,312,581,996 is 38754684696.
Find LCM of 439,974,312,581,996 with Prime Factorization
| 2 | 439, 974, 312, 581, 996 |
| 2 | 439, 487, 156, 581, 498 |
| 3 | 439, 487, 78, 581, 249 |
| 83 | 439, 487, 26, 581, 83 |
| 439, 487, 26, 7, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 83 x 439 x 487 x 26 x 7 x 1 = 38754684696
Therefore, the lowest common multiple of 439,974,312,581,996 is 38754684696.
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.
439 x 974 x 312 x 581 x 996 = 77199331914432
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.
439 : 1, 439
974 : 1, 2, 487, 974
312 : 1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312
581 : 1, 7, 83, 581
996 : 1, 2, 3, 4, 6, 12, 83, 166, 249, 332, 498, 996
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 439,974,312,581,996, is 1.
Now, the common factors can be found like this.
439:439
974:2x 487
312:2x 2x 2x 3x 13
581:7x 83
996:2x 2x 3x 83
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 83 = 1992
Therefore, the value for common factors is 1992.
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 = 77199331914432/(1x1992)
LCM = 77199331914432/1992
LCM = 38754684696
Thus, we can understand that the LCM of 439,974,312,581,996 is 38754684696.
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FAQs on LCM of 439, 974, 312, 581, 996
1. What is the LCM of 439, 974, 312, 581, 996?
Answer: LCM of 439, 974, 312, 581, 996 is 38754684696.
2. How to calculate the LCM of 439, 974, 312, 581, 996?
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 439, 974, 312, 581, 996.
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}.