LCM of 356, 449, 174, 801
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 356, 449, 174, 801 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 356, 449, 174, 801. So, keep reading to learn more.
Given numbers are 356,449,174,801
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 356,449,174,801 is 41719284.
Find LCM of 356,449,174,801 with Prime Factorization
| 2 | 356, 449, 174, 801 |
| 3 | 178, 449, 87, 801 |
| 89 | 178, 449, 29, 267 |
| 2, 449, 29, 3 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 89 x 2 x 449 x 29 x 3 = 41719284
Therefore, the lowest common multiple of 356,449,174,801 is 41719284.
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.
356 x 449 x 174 x 801 = 22278097656
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.
356 : 1, 2, 4, 89, 178, 356
449 : 1, 449
174 : 1, 2, 3, 6, 29, 58, 87, 174
801 : 1, 3, 9, 89, 267, 801
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 356,449,174,801, is 1.
Now, the common factors can be found like this.
356:2x 2x 89
449:449
174:2x 3x 29
801:3x 3x 89
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 89 = 534
Therefore, the value for common factors is 534.
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 = 22278097656/(1x534)
LCM = 22278097656/534
LCM = 41719284
Thus, we can understand that the LCM of 356,449,174,801 is 41719284.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 356, 449, 174, 801
1. What is the LCM of 356, 449, 174, 801?
Answer: LCM of 356, 449, 174, 801 is 41719284.
2. How to calculate the LCM of 356, 449, 174, 801?
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 356, 449, 174, 801.
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}.