LCM of 501, 850, 663, 255
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 501, 850, 663, 255 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 501, 850, 663, 255. So, keep reading to learn more.
Given numbers are 501,850,663,255
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 501,850,663,255 is 5536050.
Find LCM of 501,850,663,255 with Prime Factorization
| 3 | 501, 850, 663, 255 |
| 5 | 167, 850, 221, 85 |
| 17 | 167, 170, 221, 17 |
| 167, 10, 13, 1 |
Multiply the prime numbers at the bottom and the left side.
3 x 5 x 17 x 167 x 10 x 13 x 1 = 5536050
Therefore, the lowest common multiple of 501,850,663,255 is 5536050.
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.
501 x 850 x 663 x 255 = 71996330250
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.
501 : 1, 3, 167, 501
850 : 1, 2, 5, 10, 17, 25, 34, 50, 85, 170, 425, 850
663 : 1, 3, 13, 17, 39, 51, 221, 663
255 : 1, 3, 5, 15, 17, 51, 85, 255
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 501,850,663,255, is 1.
Now, the common factors can be found like this.
501:3x 167
850:2x 5x 5x 17
663:3x 13x 17
255:3x 5x 17
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 3x 5x 17x 17 = 13005
Therefore, the value for common factors is 13005.
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 = 71996330250/(1x13005)
LCM = 71996330250/13005
LCM = 5536050
Thus, we can understand that the LCM of 501,850,663,255 is 5536050.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 501, 850, 663, 255
1. What is the LCM of 501, 850, 663, 255?
Answer: LCM of 501, 850, 663, 255 is 5536050.
2. How to calculate the LCM of 501, 850, 663, 255?
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 501, 850, 663, 255.
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}.