LCM of 529, 216, 248, 324, 742
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 529, 216, 248, 324, 742 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 529, 216, 248, 324, 742. So, keep reading to learn more.
Given numbers are 529,216,248,324,742
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 529,216,248,324,742 is 3942450792.
Find LCM of 529,216,248,324,742 with Prime Factorization
| 2 | 529, 216, 248, 324, 742 |
| 2 | 529, 108, 124, 162, 371 |
| 2 | 529, 54, 62, 81, 371 |
| 3 | 529, 27, 31, 81, 371 |
| 3 | 529, 9, 31, 27, 371 |
| 3 | 529, 3, 31, 9, 371 |
| 529, 1, 31, 3, 371 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 3 x 3 x 529 x 1 x 31 x 3 x 371 = 3942450792
Therefore, the lowest common multiple of 529,216,248,324,742 is 3942450792.
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.
529 x 216 x 248 x 324 x 742 = 6812554968576
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.
529 : 1, 23, 529
216 : 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 108, 216
248 : 1, 2, 4, 8, 31, 62, 124, 248
324 : 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 324
742 : 1, 2, 7, 14, 53, 106, 371, 742
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 529,216,248,324,742, is 1.
Now, the common factors can be found like this.
529:23x 23
216:2x 2x 2x 3x 3x 3
248:2x 2x 2x 31
324:2x 2x 3x 3x 3x 3
742:2x 7x 53
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 2x 2x 3x 3x 3 = 1728
Therefore, the value for common factors is 1728.
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 = 6812554968576/(1x1728)
LCM = 6812554968576/1728
LCM = 3942450792
Thus, we can understand that the LCM of 529,216,248,324,742 is 3942450792.
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FAQs on LCM of 529, 216, 248, 324, 742
1. What is the LCM of 529, 216, 248, 324, 742?
Answer: LCM of 529, 216, 248, 324, 742 is 3942450792.
2. How to calculate the LCM of 529, 216, 248, 324, 742?
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 529, 216, 248, 324, 742.
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}.