LCM of 631, 901, 204, 285, 175
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 631, 901, 204, 285, 175 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 631, 901, 204, 285, 175. So, keep reading to learn more.
Given numbers are 631,901,204,285,175
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 631,901,204,285,175 is 22684386900.
Find LCM of 631,901,204,285,175 with Prime Factorization
| 3 | 631, 901, 204, 285, 175 |
| 5 | 631, 901, 68, 95, 175 |
| 17 | 631, 901, 68, 19, 35 |
| 631, 53, 4, 19, 35 |
Multiply the prime numbers at the bottom and the left side.
3 x 5 x 17 x 631 x 53 x 4 x 19 x 35 = 22684386900
Therefore, the lowest common multiple of 631,901,204,285,175 is 22684386900.
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.
631 x 901 x 204 x 285 x 175 = 5784518659500
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.
631 : 1, 631
901 : 1, 17, 53, 901
204 : 1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 204
285 : 1, 3, 5, 15, 19, 57, 95, 285
175 : 1, 5, 7, 25, 35, 175
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 631,901,204,285,175, is 1.
Now, the common factors can be found like this.
631:631
901:17x 53
204:2x 2x 3x 17
285:3x 5x 19
175:5x 5x 7
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 5x 17 = 255
Therefore, the value for common factors is 255.
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 = 5784518659500/(1x255)
LCM = 5784518659500/255
LCM = 22684386900
Thus, we can understand that the LCM of 631,901,204,285,175 is 22684386900.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 631, 901, 204, 285, 175
1. What is the LCM of 631, 901, 204, 285, 175?
Answer: LCM of 631, 901, 204, 285, 175 is 22684386900.
2. How to calculate the LCM of 631, 901, 204, 285, 175?
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 631, 901, 204, 285, 175.
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}.