LCM of 110, 187, 862, 351, 580
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 110, 187, 862, 351, 580 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 110, 187, 862, 351, 580. So, keep reading to learn more.
Given numbers are 110,187,862,351,580
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 110,187,862,351,580 is 16407937260.
Find LCM of 110,187,862,351,580 with Prime Factorization
| 2 | 110, 187, 862, 351, 580 |
| 5 | 55, 187, 431, 351, 290 |
| 11 | 11, 187, 431, 351, 58 |
| 1, 17, 431, 351, 58 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 11 x 1 x 17 x 431 x 351 x 58 = 16407937260
Therefore, the lowest common multiple of 110,187,862,351,580 is 16407937260.
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.
110 x 187 x 862 x 351 x 580 = 3609746197200
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.
110 : 1, 2, 5, 10, 11, 22, 55, 110
187 : 1, 11, 17, 187
862 : 1, 2, 431, 862
351 : 1, 3, 9, 13, 27, 39, 117, 351
580 : 1, 2, 4, 5, 10, 20, 29, 58, 116, 145, 290, 580
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 110,187,862,351,580, is 1.
Now, the common factors can be found like this.
110:2x 5x 11
187:11x 17
862:2x 431
351:3x 3x 3x 13
580:2x 2x 5x 29
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 5x 11 = 220
Therefore, the value for common factors is 220.
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 = 3609746197200/(1x220)
LCM = 3609746197200/220
LCM = 16407937260
Thus, we can understand that the LCM of 110,187,862,351,580 is 16407937260.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 110, 187, 862, 351, 580
1. What is the LCM of 110, 187, 862, 351, 580?
Answer: LCM of 110, 187, 862, 351, 580 is 16407937260.
2. How to calculate the LCM of 110, 187, 862, 351, 580?
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 110, 187, 862, 351, 580.
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}.