LCM of 328, 986, 995, 451, 478
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 328, 986, 995, 451, 478 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 328, 986, 995, 451, 478. So, keep reading to learn more.
Given numbers are 328,986,995,451,478
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 328,986,995,451,478 is 422994216920.
Find LCM of 328,986,995,451,478 with Prime Factorization
| 2 | 328, 986, 995, 451, 478 |
| 41 | 164, 493, 995, 451, 239 |
| 4, 493, 995, 11, 239 |
Multiply the prime numbers at the bottom and the left side.
2 x 41 x 4 x 493 x 995 x 11 x 239 = 422994216920
Therefore, the lowest common multiple of 328,986,995,451,478 is 422994216920.
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.
328 x 986 x 995 x 451 x 478 = 69371051574880
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.
328 : 1, 2, 4, 8, 41, 82, 164, 328
986 : 1, 2, 17, 29, 34, 58, 493, 986
995 : 1, 5, 199, 995
451 : 1, 11, 41, 451
478 : 1, 2, 239, 478
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 328,986,995,451,478, is 1.
Now, the common factors can be found like this.
328:2x 2x 2x 41
986:2x 17x 29
995:5x 199
451:11x 41
478:2x 239
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 41 = 164
Therefore, the value for common factors is 164.
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 = 69371051574880/(1x164)
LCM = 69371051574880/164
LCM = 422994216920
Thus, we can understand that the LCM of 328,986,995,451,478 is 422994216920.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 328, 986, 995, 451, 478
1. What is the LCM of 328, 986, 995, 451, 478?
Answer: LCM of 328, 986, 995, 451, 478 is 422994216920.
2. How to calculate the LCM of 328, 986, 995, 451, 478?
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 328, 986, 995, 451, 478.
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}.