LCM of 218, 644, 560, 828
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 218, 644, 560, 828 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 218, 644, 560, 828. So, keep reading to learn more.
Given numbers are 218,644,560,828
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 218,644,560,828 is 12635280.
Find LCM of 218,644,560,828 with Prime Factorization
| 2 | 218, 644, 560, 828 |
| 2 | 109, 322, 280, 414 |
| 7 | 109, 161, 140, 207 |
| 23 | 109, 23, 20, 207 |
| 109, 1, 20, 9 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 7 x 23 x 109 x 1 x 20 x 9 = 12635280
Therefore, the lowest common multiple of 218,644,560,828 is 12635280.
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.
218 x 644 x 560 x 828 = 65096962560
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.
218 : 1, 2, 109, 218
644 : 1, 2, 4, 7, 14, 23, 28, 46, 92, 161, 322, 644
560 : 1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 35, 40, 56, 70, 80, 112, 140, 280, 560
828 : 1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 218,644,560,828, is 2.
Now, the common factors can be found like this.
218:2x 109
644:2x 2x 7x 23
560:2x 2x 2x 2x 5x 7
828:2x 2x 3x 3x 23
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 7x 23 = 2576
Therefore, the value for common factors is 2576.
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 = 65096962560/(2x2576)
LCM = 65096962560/5152
LCM = 12635280
Thus, we can understand that the LCM of 218,644,560,828 is 12635280.
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FAQs on LCM of 218, 644, 560, 828
1. What is the LCM of 218, 644, 560, 828?
Answer: LCM of 218, 644, 560, 828 is 12635280.
2. How to calculate the LCM of 218, 644, 560, 828?
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 218, 644, 560, 828.
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}.