LCM of 288, 442, 723, 277
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 288, 442, 723, 277 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, 442, 723, 277. So, keep reading to learn more.
Given numbers are 288,442,723,277
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 288,442,723,277 is 4248949536.
Find LCM of 288,442,723,277 with Prime Factorization
| 2 | 288, 442, 723, 277 |
| 3 | 144, 221, 723, 277 |
| 48, 221, 241, 277 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 48 x 221 x 241 x 277 = 4248949536
Therefore, the lowest common multiple of 288,442,723,277 is 4248949536.
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 442 x 723 x 277 = 25493697216
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
442 : 1, 2, 13, 17, 26, 34, 221, 442
723 : 1, 3, 241, 723
277 : 1, 277
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 288,442,723,277, is 1.
Now, the common factors can be found like this.
288:2x 2x 2x 2x 2x 3x 3
442:2x 13x 17
723:3x 241
277:277
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3 = 6
Therefore, the value for common factors is 6.
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 = 25493697216/(1x6)
LCM = 25493697216/6
LCM = 4248949536
Thus, we can understand that the LCM of 288,442,723,277 is 4248949536.
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FAQs on LCM of 288, 442, 723, 277
1. What is the LCM of 288, 442, 723, 277?
Answer: LCM of 288, 442, 723, 277 is 4248949536.
2. How to calculate the LCM of 288, 442, 723, 277?
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, 442, 723, 277.
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}.