LCM of 282, 529, 939, 529
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 282, 529, 939, 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 282, 529, 939, 529. So, keep reading to learn more.
Given numbers are 282,529,939,529
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 282,529,939,529 is 46692714.
Find LCM of 282,529,939,529 with Prime Factorization
| 3 | 282, 529, 939, 529 |
| 23 | 94, 529, 313, 529 |
| 23 | 94, 23, 313, 23 |
| 94, 1, 313, 1 |
Multiply the prime numbers at the bottom and the left side.
3 x 23 x 23 x 94 x 1 x 313 x 1 = 46692714
Therefore, the lowest common multiple of 282,529,939,529 is 46692714.
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.
282 x 529 x 939 x 529 = 74101337118
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.
282 : 1, 2, 3, 6, 47, 94, 141, 282
529 : 1, 23, 529
939 : 1, 3, 313, 939
529 : 1, 23, 529
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 282,529,939,529, is 1.
Now, the common factors can be found like this.
282:2x 3x 47
529:23x 23
939:3x 313
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.
3x 23x 23 = 1587
Therefore, the value for common factors is 1587.
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 = 74101337118/(1x1587)
LCM = 74101337118/1587
LCM = 46692714
Thus, we can understand that the LCM of 282,529,939,529 is 46692714.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 282, 529, 939, 529
1. What is the LCM of 282, 529, 939, 529?
Answer: LCM of 282, 529, 939, 529 is 46692714.
2. How to calculate the LCM of 282, 529, 939, 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 282, 529, 939, 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}.