LCM of 511, 623, 270, 720, 732
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 511, 623, 270, 720, 732 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 511, 623, 270, 720, 732. So, keep reading to learn more.
Given numbers are 511,623,270,720,732
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 511,623,270,720,732 is 5992313040.
Find LCM of 511,623,270,720,732 with Prime Factorization
| 2 | 511, 623, 270, 720, 732 |
| 2 | 511, 623, 135, 360, 366 |
| 3 | 511, 623, 135, 180, 183 |
| 3 | 511, 623, 45, 60, 61 |
| 5 | 511, 623, 15, 20, 61 |
| 7 | 511, 623, 3, 4, 61 |
| 73, 89, 3, 4, 61 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 5 x 7 x 73 x 89 x 3 x 4 x 61 = 5992313040
Therefore, the lowest common multiple of 511,623,270,720,732 is 5992313040.
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.
511 x 623 x 270 x 720 x 732 = 45301886582400
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.
511 : 1, 7, 73, 511
623 : 1, 7, 89, 623
270 : 1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 270
720 : 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, 720
732 : 1, 2, 3, 4, 6, 12, 61, 122, 183, 244, 366, 732
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 511,623,270,720,732, is 1.
Now, the common factors can be found like this.
511:7x 73
623:7x 89
270:2x 3x 3x 3x 5
720:2x 2x 2x 2x 3x 3x 5
732:2x 2x 3x 61
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 3x 3x 3x 5x 7 = 7560
Therefore, the value for common factors is 7560.
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 = 45301886582400/(1x7560)
LCM = 45301886582400/7560
LCM = 5992313040
Thus, we can understand that the LCM of 511,623,270,720,732 is 5992313040.
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FAQs on LCM of 511, 623, 270, 720, 732
1. What is the LCM of 511, 623, 270, 720, 732?
Answer: LCM of 511, 623, 270, 720, 732 is 5992313040.
2. How to calculate the LCM of 511, 623, 270, 720, 732?
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 511, 623, 270, 720, 732.
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}.