Find the LCM of 569, 687, 985, 353, 458 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 569, 687, 985, 353, 458. So, keep reading to learn more.
Given numbers are 569,687,985,353,458
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 569,687,985,353,458 is 271837855230.
Find LCM of 569,687,985,353,458 with Prime Factorization
229 | 569, 687, 985, 353, 458 |
569, 3, 985, 353, 2 |
Multiply the prime numbers at the bottom and the left side.
229 x 569 x 3 x 985 x 353 x 2 = 271837855230
Therefore, the lowest common multiple of 569,687,985,353,458 is 271837855230.
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.
569 x 687 x 985 x 353 x 458 = 62250868847670
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.
569 : 1, 569
687 : 1, 3, 229, 687
985 : 1, 5, 197, 985
353 : 1, 353
458 : 1, 2, 229, 458
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 569,687,985,353,458, is 1.
Now, the common factors can be found like this.
569:569
687:3x 229
985:5x 197
353:353
458:2x 229
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
229 = 229
Therefore, the value for common factors is 229.
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 = 62250868847670/(1x229)
LCM = 62250868847670/229
LCM = 271837855230
Thus, we can understand that the LCM of 569,687,985,353,458 is 271837855230.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 569, 687, 985, 353, 458?
Answer: LCM of 569, 687, 985, 353, 458 is 271837855230.
2. How to calculate the LCM of 569, 687, 985, 353, 458?
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 569, 687, 985, 353, 458.
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}.