LCM of 187, 685, 345, 275, 928
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 187, 685, 345, 275, 928 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, 685, 345, 275, 928. So, keep reading to learn more.
Given numbers are 187,685,345,275,928
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 187,685,345,275,928 is 41010895200.
Find LCM of 187,685,345,275,928 with Prime Factorization
| 5 | 187, 685, 345, 275, 928 |
| 11 | 187, 137, 69, 55, 928 |
| 17, 137, 69, 5, 928 |
Multiply the prime numbers at the bottom and the left side.
5 x 11 x 17 x 137 x 69 x 5 x 928 = 41010895200
Therefore, the lowest common multiple of 187,685,345,275,928 is 41010895200.
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 685 x 345 x 275 x 928 = 11277996180000
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
685 : 1, 5, 137, 685
345 : 1, 3, 5, 15, 23, 69, 115, 345
275 : 1, 5, 11, 25, 55, 275
928 : 1, 2, 4, 8, 16, 29, 32, 58, 116, 232, 464, 928
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 187,685,345,275,928, is 1.
Now, the common factors can be found like this.
187:11x 17
685:5x 137
345:3x 5x 23
275:5x 5x 11
928:2x 2x 2x 2x 2x 29
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
5x 5x 11 = 275
Therefore, the value for common factors is 275.
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 = 11277996180000/(1x275)
LCM = 11277996180000/275
LCM = 41010895200
Thus, we can understand that the LCM of 187,685,345,275,928 is 41010895200.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 187, 685, 345, 275, 928
1. What is the LCM of 187, 685, 345, 275, 928?
Answer: LCM of 187, 685, 345, 275, 928 is 41010895200.
2. How to calculate the LCM of 187, 685, 345, 275, 928?
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, 685, 345, 275, 928.
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}.