LCM of 356, 208, 858, 356
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 356, 208, 858, 356 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, 208, 858, 356. So, keep reading to learn more.
Given numbers are 356,208,858,356
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 356,208,858,356 is 610896.
Find LCM of 356,208,858,356 with Prime Factorization
| 2 | 356, 208, 858, 356 |
| 2 | 178, 104, 429, 178 |
| 13 | 89, 52, 429, 89 |
| 89 | 89, 4, 33, 89 |
| 1, 4, 33, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 13 x 89 x 1 x 4 x 33 x 1 = 610896
Therefore, the lowest common multiple of 356,208,858,356 is 610896.
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 208 x 858 x 356 = 22617813504
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
208 : 1, 2, 4, 8, 13, 16, 26, 52, 104, 208
858 : 1, 2, 3, 6, 11, 13, 22, 26, 33, 39, 66, 78, 143, 286, 429, 858
356 : 1, 2, 4, 89, 178, 356
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 356,208,858,356, is 2.
Now, the common factors can be found like this.
356:2x 2x 89
208:2x 2x 2x 2x 13
858:2x 3x 11x 13
356:2x 2x 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 2x 2x 2x 13x 89 = 18512
Therefore, the value for common factors is 18512.
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 = 22617813504/(2x18512)
LCM = 22617813504/37024
LCM = 610896
Thus, we can understand that the LCM of 356,208,858,356 is 610896.
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, 208, 858, 356
1. What is the LCM of 356, 208, 858, 356?
Answer: LCM of 356, 208, 858, 356 is 610896.
2. How to calculate the LCM of 356, 208, 858, 356?
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, 208, 858, 356.
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}.