Find the LCM of 397, 979, 174, 286, 518 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 397, 979, 174, 286, 518. So, keep reading to learn more.
Given numbers are 397,979,174,286,518
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 397,979,174,286,518 is 227701327854.
Find LCM of 397,979,174,286,518 with Prime Factorization
2 | 397, 979, 174, 286, 518 |
11 | 397, 979, 87, 143, 259 |
397, 89, 87, 13, 259 |
Multiply the prime numbers at the bottom and the left side.
2 x 11 x 397 x 89 x 87 x 13 x 259 = 227701327854
Therefore, the lowest common multiple of 397,979,174,286,518 is 227701327854.
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.
397 x 979 x 174 x 286 x 518 = 10018858425576
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.
397 : 1, 397
979 : 1, 11, 89, 979
174 : 1, 2, 3, 6, 29, 58, 87, 174
286 : 1, 2, 11, 13, 22, 26, 143, 286
518 : 1, 2, 7, 14, 37, 74, 259, 518
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 397,979,174,286,518, is 1.
Now, the common factors can be found like this.
397:397
979:11x 89
174:2x 3x 29
286:2x 11x 13
518:2x 7x 37
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 11 = 44
Therefore, the value for common factors is 44.
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 = 10018858425576/(1x44)
LCM = 10018858425576/44
LCM = 227701327854
Thus, we can understand that the LCM of 397,979,174,286,518 is 227701327854.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 397, 979, 174, 286, 518?
Answer: LCM of 397, 979, 174, 286, 518 is 227701327854.
2. How to calculate the LCM of 397, 979, 174, 286, 518?
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 397, 979, 174, 286, 518.
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}.