LCM of 693, 246, 450, 216, 458
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 693, 246, 450, 216, 458 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 693, 246, 450, 216, 458. So, keep reading to learn more.
Given numbers are 693,246,450,216,458
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 693,246,450,216,458 is 3903946200.
Find LCM of 693,246,450,216,458 with Prime Factorization
| 2 | 693, 246, 450, 216, 458 |
| 3 | 693, 123, 225, 108, 229 |
| 3 | 231, 41, 75, 36, 229 |
| 77, 41, 25, 12, 229 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 77 x 41 x 25 x 12 x 229 = 3903946200
Therefore, the lowest common multiple of 693,246,450,216,458 is 3903946200.
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.
693 x 246 x 450 x 216 x 458 = 7589271412800
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.
693 : 1, 3, 7, 9, 11, 21, 33, 63, 77, 99, 231, 693
246 : 1, 2, 3, 6, 41, 82, 123, 246
450 : 1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 30, 45, 50, 75, 90, 150, 225, 450
216 : 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 108, 216
458 : 1, 2, 229, 458
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 693,246,450,216,458, is 1.
Now, the common factors can be found like this.
693:3x 3x 7x 11
246:2x 3x 41
450:2x 3x 3x 5x 5
216:2x 2x 2x 3x 3x 3
458:2x 229
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 3x 3x 3x 3x 3 = 1944
Therefore, the value for common factors is 1944.
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 = 7589271412800/(1x1944)
LCM = 7589271412800/1944
LCM = 3903946200
Thus, we can understand that the LCM of 693,246,450,216,458 is 3903946200.
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FAQs on LCM of 693, 246, 450, 216, 458
1. What is the LCM of 693, 246, 450, 216, 458?
Answer: LCM of 693, 246, 450, 216, 458 is 3903946200.
2. How to calculate the LCM of 693, 246, 450, 216, 458?
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 693, 246, 450, 216, 458.
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}.