Find the LCM of 469, 417, 357, 166, 257 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 469, 417, 357, 166, 257. So, keep reading to learn more.
Given numbers are 469,417,357,166,257
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 469,417,357,166,257 is 141840100542.
Find LCM of 469,417,357,166,257 with Prime Factorization
3 | 469, 417, 357, 166, 257 |
7 | 469, 139, 119, 166, 257 |
67, 139, 17, 166, 257 |
Multiply the prime numbers at the bottom and the left side.
3 x 7 x 67 x 139 x 17 x 166 x 257 = 141840100542
Therefore, the lowest common multiple of 469,417,357,166,257 is 141840100542.
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.
469 x 417 x 357 x 166 x 257 = 2978642111382
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.
469 : 1, 7, 67, 469
417 : 1, 3, 139, 417
357 : 1, 3, 7, 17, 21, 51, 119, 357
166 : 1, 2, 83, 166
257 : 1, 257
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 469,417,357,166,257, is 1.
Now, the common factors can be found like this.
469:7x 67
417:3x 139
357:3x 7x 17
166:2x 83
257:257
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 7 = 21
Therefore, the value for common factors is 21.
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 = 2978642111382/(1x21)
LCM = 2978642111382/21
LCM = 141840100542
Thus, we can understand that the LCM of 469,417,357,166,257 is 141840100542.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 469, 417, 357, 166, 257?
Answer: LCM of 469, 417, 357, 166, 257 is 141840100542.
2. How to calculate the LCM of 469, 417, 357, 166, 257?
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 469, 417, 357, 166, 257.
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}.