LCM of 319, 923, 501, 931, 288
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 319, 923, 501, 931, 288 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 319, 923, 501, 931, 288. So, keep reading to learn more.
Given numbers are 319,923,501,931,288
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 319,923,501,931,288 is 13184116257312.
Find LCM of 319,923,501,931,288 with Prime Factorization
| 3 | 319, 923, 501, 931, 288 |
| 319, 923, 167, 931, 96 |
Multiply the prime numbers at the bottom and the left side.
3 x 319 x 923 x 167 x 931 x 96 = 13184116257312
Therefore, the lowest common multiple of 319,923,501,931,288 is 13184116257312.
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.
319 x 923 x 501 x 931 x 288 = 39552348771936
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.
319 : 1, 11, 29, 319
923 : 1, 13, 71, 923
501 : 1, 3, 167, 501
931 : 1, 7, 19, 49, 133, 931
288 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96, 144, 288
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 319,923,501,931,288, is 1.
Now, the common factors can be found like this.
319:11x 29
923:13x 71
501:3x 167
931:7x 7x 19
288:2x 2x 2x 2x 2x 3x 3
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3 = 3
Therefore, the value for common factors is 3.
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 = 39552348771936/(1x3)
LCM = 39552348771936/3
LCM = 13184116257312
Thus, we can understand that the LCM of 319,923,501,931,288 is 13184116257312.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 319, 923, 501, 931, 288
1. What is the LCM of 319, 923, 501, 931, 288?
Answer: LCM of 319, 923, 501, 931, 288 is 13184116257312.
2. How to calculate the LCM of 319, 923, 501, 931, 288?
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 319, 923, 501, 931, 288.
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}.