Find the LCM of 769, 105, 828, 230, 404 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 769, 105, 828, 230, 404. So, keep reading to learn more.
Given numbers are 769,105,828,230,404
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 769,105,828,230,404 is 2250847620.
Find LCM of 769,105,828,230,404 with Prime Factorization
2 | 769, 105, 828, 230, 404 |
2 | 769, 105, 414, 115, 202 |
3 | 769, 105, 207, 115, 101 |
5 | 769, 35, 69, 115, 101 |
23 | 769, 7, 69, 23, 101 |
769, 7, 3, 1, 101 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 5 x 23 x 769 x 7 x 3 x 1 x 101 = 2250847620
Therefore, the lowest common multiple of 769,105,828,230,404 is 2250847620.
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.
769 x 105 x 828 x 230 x 404 = 6212339431200
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.
769 : 1, 769
105 : 1, 3, 5, 7, 15, 21, 35, 105
828 : 1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828
230 : 1, 2, 5, 10, 23, 46, 115, 230
404 : 1, 2, 4, 101, 202, 404
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 769,105,828,230,404, is 1.
Now, the common factors can be found like this.
769:769
105:3x 5x 7
828:2x 2x 3x 3x 23
230:2x 5x 23
404:2x 2x 101
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 5x 23 = 2760
Therefore, the value for common factors is 2760.
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 = 6212339431200/(1x2760)
LCM = 6212339431200/2760
LCM = 2250847620
Thus, we can understand that the LCM of 769,105,828,230,404 is 2250847620.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 769, 105, 828, 230, 404?
Answer: LCM of 769, 105, 828, 230, 404 is 2250847620.
2. How to calculate the LCM of 769, 105, 828, 230, 404?
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 769, 105, 828, 230, 404.
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}.