LCM of 431, 341, 979, 646
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 431, 341, 979, 646 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 431, 341, 979, 646. So, keep reading to learn more.
Given numbers are 431,341,979,646
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 431,341,979,646 is 8449950674.
Find LCM of 431,341,979,646 with Prime Factorization
| 11 | 431, 341, 979, 646 |
| 431, 31, 89, 646 |
Multiply the prime numbers at the bottom and the left side.
11 x 431 x 31 x 89 x 646 = 8449950674
Therefore, the lowest common multiple of 431,341,979,646 is 8449950674.
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.
431 x 341 x 979 x 646 = 92949457414
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.
431 : 1, 431
341 : 1, 11, 31, 341
979 : 1, 11, 89, 979
646 : 1, 2, 17, 19, 34, 38, 323, 646
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 431,341,979,646, is 1.
Now, the common factors can be found like this.
431:431
341:11x 31
979:11x 89
646:2x 17x 19
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
11 = 11
Therefore, the value for common factors is 11.
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 = 92949457414/(1x11)
LCM = 92949457414/11
LCM = 8449950674
Thus, we can understand that the LCM of 431,341,979,646 is 8449950674.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 431, 341, 979, 646
1. What is the LCM of 431, 341, 979, 646?
Answer: LCM of 431, 341, 979, 646 is 8449950674.
2. How to calculate the LCM of 431, 341, 979, 646?
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 431, 341, 979, 646.
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}.