LCM of 263, 405, 972, 353, 285
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 263, 405, 972, 353, 285 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 263, 405, 972, 353, 285. So, keep reading to learn more.
Given numbers are 263,405,972,353,285
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 263,405,972,353,285 is 8572753260.
Find LCM of 263,405,972,353,285 with Prime Factorization
| 3 | 263, 405, 972, 353, 285 |
| 3 | 263, 135, 324, 353, 95 |
| 3 | 263, 45, 108, 353, 95 |
| 3 | 263, 15, 36, 353, 95 |
| 5 | 263, 5, 12, 353, 95 |
| 263, 1, 12, 353, 19 |
Multiply the prime numbers at the bottom and the left side.
3 x 3 x 3 x 3 x 5 x 263 x 1 x 12 x 353 x 19 = 8572753260
Therefore, the lowest common multiple of 263,405,972,353,285 is 8572753260.
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.
263 x 405 x 972 x 353 x 285 = 10415895210900
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.
263 : 1, 263
405 : 1, 3, 5, 9, 15, 27, 45, 81, 135, 405
972 : 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972
353 : 1, 353
285 : 1, 3, 5, 15, 19, 57, 95, 285
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 263,405,972,353,285, is 1.
Now, the common factors can be found like this.
263:263
405:3x 3x 3x 3x 5
972:2x 2x 3x 3x 3x 3x 3
353:353
285:3x 5x 19
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 3x 3x 3x 5 = 1215
Therefore, the value for common factors is 1215.
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 = 10415895210900/(1x1215)
LCM = 10415895210900/1215
LCM = 8572753260
Thus, we can understand that the LCM of 263,405,972,353,285 is 8572753260.
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FAQs on LCM of 263, 405, 972, 353, 285
1. What is the LCM of 263, 405, 972, 353, 285?
Answer: LCM of 263, 405, 972, 353, 285 is 8572753260.
2. How to calculate the LCM of 263, 405, 972, 353, 285?
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 263, 405, 972, 353, 285.
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}.