LCM of 188, 676, 114, 416, 697
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 188, 676, 114, 416, 697 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 188, 676, 114, 416, 697. So, keep reading to learn more.
Given numbers are 188,676,114,416,697
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 188,676,114,416,697 is 10098158304.
Find LCM of 188,676,114,416,697 with Prime Factorization
| 2 | 188, 676, 114, 416, 697 |
| 2 | 94, 338, 57, 208, 697 |
| 13 | 47, 169, 57, 104, 697 |
| 47, 13, 57, 8, 697 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 13 x 47 x 13 x 57 x 8 x 697 = 10098158304
Therefore, the lowest common multiple of 188,676,114,416,697 is 10098158304.
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.
188 x 676 x 114 x 416 x 697 = 4200833854464
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.
188 : 1, 2, 4, 47, 94, 188
676 : 1, 2, 4, 13, 26, 52, 169, 338, 676
114 : 1, 2, 3, 6, 19, 38, 57, 114
416 : 1, 2, 4, 8, 13, 16, 26, 32, 52, 104, 208, 416
697 : 1, 17, 41, 697
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 188,676,114,416,697, is 1.
Now, the common factors can be found like this.
188:2x 2x 47
676:2x 2x 13x 13
114:2x 3x 19
416:2x 2x 2x 2x 2x 13
697:17x 41
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 2x 2x 2x 13 = 416
Therefore, the value for common factors is 416.
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 = 4200833854464/(1x416)
LCM = 4200833854464/416
LCM = 10098158304
Thus, we can understand that the LCM of 188,676,114,416,697 is 10098158304.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 188, 676, 114, 416, 697
1. What is the LCM of 188, 676, 114, 416, 697?
Answer: LCM of 188, 676, 114, 416, 697 is 10098158304.
2. How to calculate the LCM of 188, 676, 114, 416, 697?
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 188, 676, 114, 416, 697.
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}.