LCM of 845, 190, 628, 171
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 845, 190, 628, 171 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 845, 190, 628, 171. So, keep reading to learn more.
Given numbers are 845,190,628,171
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 845,190,628,171 is 90742860.
Find LCM of 845,190,628,171 with Prime Factorization
| 2 | 845, 190, 628, 171 |
| 5 | 845, 95, 314, 171 |
| 19 | 169, 19, 314, 171 |
| 169, 1, 314, 9 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 19 x 169 x 1 x 314 x 9 = 90742860
Therefore, the lowest common multiple of 845,190,628,171 is 90742860.
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.
845 x 190 x 628 x 171 = 17241143400
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.
845 : 1, 5, 13, 65, 169, 845
190 : 1, 2, 5, 10, 19, 38, 95, 190
628 : 1, 2, 4, 157, 314, 628
171 : 1, 3, 9, 19, 57, 171
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 845,190,628,171, is 1.
Now, the common factors can be found like this.
845:5x 13x 13
190:2x 5x 19
628:2x 2x 157
171:3x 3x 19
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 5x 19 = 190
Therefore, the value for common factors is 190.
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 = 17241143400/(1x190)
LCM = 17241143400/190
LCM = 90742860
Thus, we can understand that the LCM of 845,190,628,171 is 90742860.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 845, 190, 628, 171
1. What is the LCM of 845, 190, 628, 171?
Answer: LCM of 845, 190, 628, 171 is 90742860.
2. How to calculate the LCM of 845, 190, 628, 171?
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 845, 190, 628, 171.
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}.