LCM of 356, 428, 851, 805
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 356, 428, 851, 805 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, 428, 851, 805. So, keep reading to learn more.
Given numbers are 356,428,851,805
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 356,428,851,805 is 1134570220.
Find LCM of 356,428,851,805 with Prime Factorization
| 2 | 356, 428, 851, 805 |
| 2 | 178, 214, 851, 805 |
| 23 | 89, 107, 851, 805 |
| 89, 107, 37, 35 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 23 x 89 x 107 x 37 x 35 = 1134570220
Therefore, the lowest common multiple of 356,428,851,805 is 1134570220.
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 428 x 851 x 805 = 104380460240
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
428 : 1, 2, 4, 107, 214, 428
851 : 1, 23, 37, 851
805 : 1, 5, 7, 23, 35, 115, 161, 805
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 356,428,851,805, is 1.
Now, the common factors can be found like this.
356:2x 2x 89
428:2x 2x 107
851:23x 37
805:5x 7x 23
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 23 = 92
Therefore, the value for common factors is 92.
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 = 104380460240/(1x92)
LCM = 104380460240/92
LCM = 1134570220
Thus, we can understand that the LCM of 356,428,851,805 is 1134570220.
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, 428, 851, 805
1. What is the LCM of 356, 428, 851, 805?
Answer: LCM of 356, 428, 851, 805 is 1134570220.
2. How to calculate the LCM of 356, 428, 851, 805?
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, 428, 851, 805.
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}.