LCM of 511, 414, 784, 771, 679
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 511, 414, 784, 771, 679 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, 414, 784, 771, 679. So, keep reading to learn more.
Given numbers are 511,414,784,771,679
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 511,414,784,771,679 is 295334461296.
Find LCM of 511,414,784,771,679 with Prime Factorization
| 2 | 511, 414, 784, 771, 679 |
| 3 | 511, 207, 392, 771, 679 |
| 7 | 511, 69, 392, 257, 679 |
| 73, 69, 56, 257, 97 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 7 x 73 x 69 x 56 x 257 x 97 = 295334461296
Therefore, the lowest common multiple of 511,414,784,771,679 is 295334461296.
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 414 x 784 x 771 x 679 = 86828331621024
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
414 : 1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414
784 : 1, 2, 4, 7, 8, 14, 16, 28, 49, 56, 98, 112, 196, 392, 784
771 : 1, 3, 257, 771
679 : 1, 7, 97, 679
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 511,414,784,771,679, is 1.
Now, the common factors can be found like this.
511:7x 73
414:2x 3x 3x 23
784:2x 2x 2x 2x 7x 7
771:3x 257
679:7x 97
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 7x 7 = 294
Therefore, the value for common factors is 294.
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 = 86828331621024/(1x294)
LCM = 86828331621024/294
LCM = 295334461296
Thus, we can understand that the LCM of 511,414,784,771,679 is 295334461296.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 511, 414, 784, 771, 679
1. What is the LCM of 511, 414, 784, 771, 679?
Answer: LCM of 511, 414, 784, 771, 679 is 295334461296.
2. How to calculate the LCM of 511, 414, 784, 771, 679?
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, 414, 784, 771, 679.
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}.