Find the LCM of 105, 105, 473, 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 105, 105, 473, 979. So, keep reading to learn more.
Given numbers are 105,105,473,979
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 105,105,473,979 is 4420185.
Find LCM of 105,105,473,979 with Prime Factorization
3 | 105, 105, 473, 979 |
5 | 35, 35, 473, 979 |
7 | 7, 7, 473, 979 |
11 | 1, 1, 473, 979 |
1, 1, 43, 89 |
Multiply the prime numbers at the bottom and the left side.
3 x 5 x 7 x 11 x 1 x 1 x 43 x 89 = 4420185
Therefore, the lowest common multiple of 105,105,473,979 is 4420185.
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.
105 x 105 x 473 x 979 = 5105313675
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.
105 : 1, 3, 5, 7, 15, 21, 35, 105
105 : 1, 3, 5, 7, 15, 21, 35, 105
473 : 1, 11, 43, 473
979 : 1, 11, 89, 979
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 105,105,473,979, is 1.
Now, the common factors can be found like this.
105:3x 5x 7
105:3x 5x 7
473:11x 43
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 5x 7x 11 = 1155
Therefore, the value for common factors is 1155.
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 = 5105313675/(1x1155)
LCM = 5105313675/1155
LCM = 4420185
Thus, we can understand that the LCM of 105,105,473,979 is 4420185.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 105, 105, 473, 979?
Answer: LCM of 105, 105, 473, 979 is 4420185.
2. How to calculate the LCM of 105, 105, 473, 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 105, 105, 473, 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}.