LCM of 532, 288, 772, 407, 814
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 532, 288, 772, 407, 814 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 532, 288, 772, 407, 814. So, keep reading to learn more.
Given numbers are 532,288,772,407,814
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 532,288,772,407,814 is 3008817504.
Find LCM of 532,288,772,407,814 with Prime Factorization
| 2 | 532, 288, 772, 407, 814 |
| 2 | 266, 144, 386, 407, 407 |
| 11 | 133, 72, 193, 407, 407 |
| 37 | 133, 72, 193, 37, 37 |
| 133, 72, 193, 1, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 11 x 37 x 133 x 72 x 193 x 1 x 1 = 3008817504
Therefore, the lowest common multiple of 532,288,772,407,814 is 3008817504.
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.
532 x 288 x 772 x 407 x 814 = 39186839172096
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.
532 : 1, 2, 4, 7, 14, 19, 28, 38, 76, 133, 266, 532
288 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96, 144, 288
772 : 1, 2, 4, 193, 386, 772
407 : 1, 11, 37, 407
814 : 1, 2, 11, 22, 37, 74, 407, 814
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 532,288,772,407,814, is 1.
Now, the common factors can be found like this.
532:2x 2x 7x 19
288:2x 2x 2x 2x 2x 3x 3
772:2x 2x 193
407:11x 37
814:2x 11x 37
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 2x 11x 37 = 13024
Therefore, the value for common factors is 13024.
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 = 39186839172096/(1x13024)
LCM = 39186839172096/13024
LCM = 3008817504
Thus, we can understand that the LCM of 532,288,772,407,814 is 3008817504.
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FAQs on LCM of 532, 288, 772, 407, 814
1. What is the LCM of 532, 288, 772, 407, 814?
Answer: LCM of 532, 288, 772, 407, 814 is 3008817504.
2. How to calculate the LCM of 532, 288, 772, 407, 814?
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 532, 288, 772, 407, 814.
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}.