LCM of 828, 458, 228, 931
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 828, 458, 228, 931 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 828, 458, 228, 931. So, keep reading to learn more.
Given numbers are 828,458,228,931
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 828,458,228,931 is 176528772.
Find LCM of 828,458,228,931 with Prime Factorization
| 2 | 828, 458, 228, 931 |
| 2 | 414, 229, 114, 931 |
| 3 | 207, 229, 57, 931 |
| 19 | 69, 229, 19, 931 |
| 69, 229, 1, 49 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 19 x 69 x 229 x 1 x 49 = 176528772
Therefore, the lowest common multiple of 828,458,228,931 is 176528772.
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.
828 x 458 x 228 x 931 = 80497120032
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.
828 : 1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828
458 : 1, 2, 229, 458
228 : 1, 2, 3, 4, 6, 12, 19, 38, 57, 76, 114, 228
931 : 1, 7, 19, 49, 133, 931
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 828,458,228,931, is 1.
Now, the common factors can be found like this.
828:2x 2x 3x 3x 23
458:2x 229
228:2x 2x 3x 19
931:7x 7x 19
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 3x 19 = 456
Therefore, the value for common factors is 456.
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 = 80497120032/(1x456)
LCM = 80497120032/456
LCM = 176528772
Thus, we can understand that the LCM of 828,458,228,931 is 176528772.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 828, 458, 228, 931
1. What is the LCM of 828, 458, 228, 931?
Answer: LCM of 828, 458, 228, 931 is 176528772.
2. How to calculate the LCM of 828, 458, 228, 931?
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 828, 458, 228, 931.
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}.