LCM of 704, 992, 687, 424, 371
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 704, 992, 687, 424, 371 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 704, 992, 687, 424, 371. So, keep reading to learn more.
Given numbers are 704,992,687,424,371
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 704,992,687,424,371 is 5562435648.
Find LCM of 704,992,687,424,371 with Prime Factorization
| 2 | 704, 992, 687, 424, 371 |
| 2 | 352, 496, 687, 212, 371 |
| 2 | 176, 248, 687, 106, 371 |
| 2 | 88, 124, 687, 53, 371 |
| 2 | 44, 62, 687, 53, 371 |
| 53 | 22, 31, 687, 53, 371 |
| 22, 31, 687, 1, 7 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 2 x 53 x 22 x 31 x 687 x 1 x 7 = 5562435648
Therefore, the lowest common multiple of 704,992,687,424,371 is 5562435648.
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.
704 x 992 x 687 x 424 x 371 = 75471126872064
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.
704 : 1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 176, 352, 704
992 : 1, 2, 4, 8, 16, 31, 32, 62, 124, 248, 496, 992
687 : 1, 3, 229, 687
424 : 1, 2, 4, 8, 53, 106, 212, 424
371 : 1, 7, 53, 371
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 704,992,687,424,371, is 1.
Now, the common factors can be found like this.
704:2x 2x 2x 2x 2x 2x 11
992:2x 2x 2x 2x 2x 31
687:3x 229
424:2x 2x 2x 53
371:7x 53
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 2x 2x 2x 2x 53 = 13568
Therefore, the value for common factors is 13568.
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 = 75471126872064/(1x13568)
LCM = 75471126872064/13568
LCM = 5562435648
Thus, we can understand that the LCM of 704,992,687,424,371 is 5562435648.
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FAQs on LCM of 704, 992, 687, 424, 371
1. What is the LCM of 704, 992, 687, 424, 371?
Answer: LCM of 704, 992, 687, 424, 371 is 5562435648.
2. How to calculate the LCM of 704, 992, 687, 424, 371?
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 704, 992, 687, 424, 371.
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}.