Find the LCM of 354, 257, 873, 697, 258 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 354, 257, 873, 697, 258. So, keep reading to learn more.
Given numbers are 354,257,873,697,258
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 354,257,873,697,258 is 793470176658.
Find LCM of 354,257,873,697,258 with Prime Factorization
2 | 354, 257, 873, 697, 258 |
3 | 177, 257, 873, 697, 129 |
59, 257, 291, 697, 43 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 59 x 257 x 291 x 697 x 43 = 793470176658
Therefore, the lowest common multiple of 354,257,873,697,258 is 793470176658.
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.
354 x 257 x 873 x 697 x 258 = 14282463179844
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.
354 : 1, 2, 3, 6, 59, 118, 177, 354
257 : 1, 257
873 : 1, 3, 9, 97, 291, 873
697 : 1, 17, 41, 697
258 : 1, 2, 3, 6, 43, 86, 129, 258
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 354,257,873,697,258, is 1.
Now, the common factors can be found like this.
354:2x 3x 59
257:257
873:3x 3x 97
697:17x 41
258:2x 3x 43
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 3 = 18
Therefore, the value for common factors is 18.
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 = 14282463179844/(1x18)
LCM = 14282463179844/18
LCM = 793470176658
Thus, we can understand that the LCM of 354,257,873,697,258 is 793470176658.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 354, 257, 873, 697, 258?
Answer: LCM of 354, 257, 873, 697, 258 is 793470176658.
2. How to calculate the LCM of 354, 257, 873, 697, 258?
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 354, 257, 873, 697, 258.
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}.