LCM of 361, 646, 689, 794
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 361, 646, 689, 794 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 361, 646, 689, 794. So, keep reading to learn more.
Given numbers are 361,646,689,794
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 361,646,689,794 is 3357344042.
Find LCM of 361,646,689,794 with Prime Factorization
| 2 | 361, 646, 689, 794 |
| 19 | 361, 323, 689, 397 |
| 19, 17, 689, 397 |
Multiply the prime numbers at the bottom and the left side.
2 x 19 x 19 x 17 x 689 x 397 = 3357344042
Therefore, the lowest common multiple of 361,646,689,794 is 3357344042.
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.
361 x 646 x 689 x 794 = 127579073596
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.
361 : 1, 19, 361
646 : 1, 2, 17, 19, 34, 38, 323, 646
689 : 1, 13, 53, 689
794 : 1, 2, 397, 794
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 361,646,689,794, is 1.
Now, the common factors can be found like this.
361:19x 19
646:2x 17x 19
689:13x 53
794:2x 397
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 19 = 38
Therefore, the value for common factors is 38.
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 = 127579073596/(1x38)
LCM = 127579073596/38
LCM = 3357344042
Thus, we can understand that the LCM of 361,646,689,794 is 3357344042.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 361, 646, 689, 794
1. What is the LCM of 361, 646, 689, 794?
Answer: LCM of 361, 646, 689, 794 is 3357344042.
2. How to calculate the LCM of 361, 646, 689, 794?
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 361, 646, 689, 794.
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}.