LCM of 511, 390, 576, 556, 919
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 511, 390, 576, 556, 919 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, 390, 576, 556, 919. So, keep reading to learn more.
Given numbers are 511,390,576,556,919
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 511,390,576,556,919 is 2443920373440.
Find LCM of 511,390,576,556,919 with Prime Factorization
| 2 | 511, 390, 576, 556, 919 |
| 2 | 511, 195, 288, 278, 919 |
| 3 | 511, 195, 144, 139, 919 |
| 511, 65, 48, 139, 919 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 511 x 65 x 48 x 139 x 919 = 2443920373440
Therefore, the lowest common multiple of 511,390,576,556,919 is 2443920373440.
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 390 x 576 x 556 x 919 = 58654088962560
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
390 : 1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 195, 390
576 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 64, 72, 96, 144, 192, 288, 576
556 : 1, 2, 4, 139, 278, 556
919 : 1, 919
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 511,390,576,556,919, is 1.
Now, the common factors can be found like this.
511:7x 73
390:2x 3x 5x 13
576:2x 2x 2x 2x 2x 2x 3x 3
556:2x 2x 139
919:919
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 3 = 24
Therefore, the value for common factors is 24.
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 = 58654088962560/(1x24)
LCM = 58654088962560/24
LCM = 2443920373440
Thus, we can understand that the LCM of 511,390,576,556,919 is 2443920373440.
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FAQs on LCM of 511, 390, 576, 556, 919
1. What is the LCM of 511, 390, 576, 556, 919?
Answer: LCM of 511, 390, 576, 556, 919 is 2443920373440.
2. How to calculate the LCM of 511, 390, 576, 556, 919?
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, 390, 576, 556, 919.
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}.