LCM of 288, 176, 249, 193, 795
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 288, 176, 249, 193, 795 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 288, 176, 249, 193, 795. So, keep reading to learn more.
Given numbers are 288,176,249,193,795
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 288,176,249,193,795 is 13448270880.
Find LCM of 288,176,249,193,795 with Prime Factorization
| 2 | 288, 176, 249, 193, 795 |
| 2 | 144, 88, 249, 193, 795 |
| 2 | 72, 44, 249, 193, 795 |
| 2 | 36, 22, 249, 193, 795 |
| 3 | 18, 11, 249, 193, 795 |
| 6, 11, 83, 193, 265 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 3 x 6 x 11 x 83 x 193 x 265 = 13448270880
Therefore, the lowest common multiple of 288,176,249,193,795 is 13448270880.
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.
288 x 176 x 249 x 193 x 795 = 1936551006720
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.
288 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96, 144, 288
176 : 1, 2, 4, 8, 11, 16, 22, 44, 88, 176
249 : 1, 3, 83, 249
193 : 1, 193
795 : 1, 3, 5, 15, 53, 159, 265, 795
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 288,176,249,193,795, is 1.
Now, the common factors can be found like this.
288:2x 2x 2x 2x 2x 3x 3
176:2x 2x 2x 2x 11
249:3x 83
193:193
795:3x 5x 53
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 2x 2x 2x 3x 3 = 144
Therefore, the value for common factors is 144.
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 = 1936551006720/(1x144)
LCM = 1936551006720/144
LCM = 13448270880
Thus, we can understand that the LCM of 288,176,249,193,795 is 13448270880.
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FAQs on LCM of 288, 176, 249, 193, 795
1. What is the LCM of 288, 176, 249, 193, 795?
Answer: LCM of 288, 176, 249, 193, 795 is 13448270880.
2. How to calculate the LCM of 288, 176, 249, 193, 795?
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 288, 176, 249, 193, 795.
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}.