LCM of 187, 205, 262, 969, 697
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 187, 205, 262, 969, 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 187, 205, 262, 969, 697. So, keep reading to learn more.
Given numbers are 187,205,262,969,697
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 187,205,262,969,697 is 572494890.
Find LCM of 187,205,262,969,697 with Prime Factorization
| 17 | 187, 205, 262, 969, 697 |
| 41 | 11, 205, 262, 57, 41 |
| 11, 5, 262, 57, 1 |
Multiply the prime numbers at the bottom and the left side.
17 x 41 x 11 x 5 x 262 x 57 x 1 = 572494890
Therefore, the lowest common multiple of 187,205,262,969,697 is 572494890.
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.
187 x 205 x 262 x 969 x 697 = 6783491951610
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.
187 : 1, 11, 17, 187
205 : 1, 5, 41, 205
262 : 1, 2, 131, 262
969 : 1, 3, 17, 19, 51, 57, 323, 969
697 : 1, 17, 41, 697
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 187,205,262,969,697, is 1.
Now, the common factors can be found like this.
187:11x 17
205:5x 41
262:2x 131
969:3x 17x 19
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.
17x 17x 41 = 11849
Therefore, the value for common factors is 11849.
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 = 6783491951610/(1x11849)
LCM = 6783491951610/11849
LCM = 572494890
Thus, we can understand that the LCM of 187,205,262,969,697 is 572494890.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 187, 205, 262, 969, 697
1. What is the LCM of 187, 205, 262, 969, 697?
Answer: LCM of 187, 205, 262, 969, 697 is 572494890.
2. How to calculate the LCM of 187, 205, 262, 969, 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 187, 205, 262, 969, 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}.