Find the LCM of 150, 110, 769, 429, 906 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 150, 110, 769, 429, 906. So, keep reading to learn more.
Given numbers are 150,110,769,429,906
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 150,110,769,429,906 is 2490752550.
Find LCM of 150,110,769,429,906 with Prime Factorization
2 | 150, 110, 769, 429, 906 |
3 | 75, 55, 769, 429, 453 |
5 | 25, 55, 769, 143, 151 |
11 | 5, 11, 769, 143, 151 |
5, 1, 769, 13, 151 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 11 x 5 x 1 x 769 x 13 x 151 = 2490752550
Therefore, the lowest common multiple of 150,110,769,429,906 is 2490752550.
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.
150 x 110 x 769 x 429 x 906 = 4931690049000
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.
150 : 1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 150
110 : 1, 2, 5, 10, 11, 22, 55, 110
769 : 1, 769
429 : 1, 3, 11, 13, 33, 39, 143, 429
906 : 1, 2, 3, 6, 151, 302, 453, 906
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 150,110,769,429,906, is 1.
Now, the common factors can be found like this.
150:2x 3x 5x 5
110:2x 5x 11
769:769
429:3x 11x 13
906:2x 3x 151
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 3x 3x 5x 11 = 1980
Therefore, the value for common factors is 1980.
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 = 4931690049000/(1x1980)
LCM = 4931690049000/1980
LCM = 2490752550
Thus, we can understand that the LCM of 150,110,769,429,906 is 2490752550.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 150, 110, 769, 429, 906?
Answer: LCM of 150, 110, 769, 429, 906 is 2490752550.
2. How to calculate the LCM of 150, 110, 769, 429, 906?
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 150, 110, 769, 429, 906.
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}.