LCM of 187, 860, 457, 129, 826
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 187, 860, 457, 129, 826 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, 860, 457, 129, 826. So, keep reading to learn more.
Given numbers are 187,860,457,129,826
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 187,860,457,129,826 is 91059982860.
Find LCM of 187,860,457,129,826 with Prime Factorization
| 2 | 187, 860, 457, 129, 826 |
| 43 | 187, 430, 457, 129, 413 |
| 187, 10, 457, 3, 413 |
Multiply the prime numbers at the bottom and the left side.
2 x 43 x 187 x 10 x 457 x 3 x 413 = 91059982860
Therefore, the lowest common multiple of 187,860,457,129,826 is 91059982860.
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 860 x 457 x 129 x 826 = 7831158525960
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
860 : 1, 2, 4, 5, 10, 20, 43, 86, 172, 215, 430, 860
457 : 1, 457
129 : 1, 3, 43, 129
826 : 1, 2, 7, 14, 59, 118, 413, 826
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 187,860,457,129,826, is 1.
Now, the common factors can be found like this.
187:11x 17
860:2x 2x 5x 43
457:457
129:3x 43
826:2x 7x 59
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 43 = 86
Therefore, the value for common factors is 86.
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 = 7831158525960/(1x86)
LCM = 7831158525960/86
LCM = 91059982860
Thus, we can understand that the LCM of 187,860,457,129,826 is 91059982860.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 187, 860, 457, 129, 826
1. What is the LCM of 187, 860, 457, 129, 826?
Answer: LCM of 187, 860, 457, 129, 826 is 91059982860.
2. How to calculate the LCM of 187, 860, 457, 129, 826?
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, 860, 457, 129, 826.
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}.