LCM of 284, 314, 824, 529
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 284, 314, 824, 529 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 284, 314, 824, 529. So, keep reading to learn more.
Given numbers are 284,314,824,529
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 284,314,824,529 is 4858932712.
Find LCM of 284,314,824,529 with Prime Factorization
| 2 | 284, 314, 824, 529 |
| 2 | 142, 157, 412, 529 |
| 71, 157, 206, 529 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 71 x 157 x 206 x 529 = 4858932712
Therefore, the lowest common multiple of 284,314,824,529 is 4858932712.
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.
284 x 314 x 824 x 529 = 38871461696
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.
284 : 1, 2, 4, 71, 142, 284
314 : 1, 2, 157, 314
824 : 1, 2, 4, 8, 103, 206, 412, 824
529 : 1, 23, 529
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 284,314,824,529, is 1.
Now, the common factors can be found like this.
284:2x 2x 71
314:2x 157
824:2x 2x 2x 103
529:23x 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 2 = 8
Therefore, the value for common factors is 8.
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 = 38871461696/(1x8)
LCM = 38871461696/8
LCM = 4858932712
Thus, we can understand that the LCM of 284,314,824,529 is 4858932712.
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FAQs on LCM of 284, 314, 824, 529
1. What is the LCM of 284, 314, 824, 529?
Answer: LCM of 284, 314, 824, 529 is 4858932712.
2. How to calculate the LCM of 284, 314, 824, 529?
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 284, 314, 824, 529.
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}.