Find the LCM of 9, 267, 755, 979 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 9, 267, 755, 979. So, keep reading to learn more.
Given numbers are 9,267,755,979
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 9,267,755,979 is 6652305.
Find LCM of 9,267,755,979 with Prime Factorization
3 | 9, 267, 755, 979 |
89 | 3, 89, 755, 979 |
3, 1, 755, 11 |
Multiply the prime numbers at the bottom and the left side.
3 x 89 x 3 x 1 x 755 x 11 = 6652305
Therefore, the lowest common multiple of 9,267,755,979 is 6652305.
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.
9 x 267 x 755 x 979 = 1776165435
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.
9 : 1, 3, 9
267 : 1, 3, 89, 267
755 : 1, 5, 151, 755
979 : 1, 11, 89, 979
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 9,267,755,979, is 1.
Now, the common factors can be found like this.
9:3x 3
267:3x 89
755:5x 151
979:11x 89
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 89 = 267
Therefore, the value for common factors is 267.
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 = 1776165435/(1x267)
LCM = 1776165435/267
LCM = 6652305
Thus, we can understand that the LCM of 9,267,755,979 is 6652305.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 9, 267, 755, 979?
Answer: LCM of 9, 267, 755, 979 is 6652305.
2. How to calculate the LCM of 9, 267, 755, 979?
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 9, 267, 755, 979.
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}.