Find the LCM of 211, 755, 229, 916, 391 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 211, 755, 229, 916, 391. So, keep reading to learn more.
Given numbers are 211,755,229,916,391
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 211,755,229,916,391 is 57056041580.
Find LCM of 211,755,229,916,391 with Prime Factorization
229 | 211, 755, 229, 916, 391 |
211, 755, 1, 4, 391 |
Multiply the prime numbers at the bottom and the left side.
229 x 211 x 755 x 1 x 4 x 391 = 57056041580
Therefore, the lowest common multiple of 211,755,229,916,391 is 57056041580.
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.
211 x 755 x 229 x 916 x 391 = 13065833521820
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.
211 : 1, 211
755 : 1, 5, 151, 755
229 : 1, 229
916 : 1, 2, 4, 229, 458, 916
391 : 1, 17, 23, 391
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 211,755,229,916,391, is 1.
Now, the common factors can be found like this.
211:211
755:5x 151
229:229
916:2x 2x 229
391:17x 23
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 = 13065833521820/(1x229)
LCM = 13065833521820/229
LCM = 57056041580
Thus, we can understand that the LCM of 211,755,229,916,391 is 57056041580.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 211, 755, 229, 916, 391?
Answer: LCM of 211, 755, 229, 916, 391 is 57056041580.
2. How to calculate the LCM of 211, 755, 229, 916, 391?
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 211, 755, 229, 916, 391.
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}.