LCM of 939, 216, 441, 681, 450
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 939, 216, 441, 681, 450 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 939, 216, 441, 681, 450. So, keep reading to learn more.
Given numbers are 939,216,441,681,450
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 939,216,441,681,450 is 18800094600.
Find LCM of 939,216,441,681,450 with Prime Factorization
| 2 | 939, 216, 441, 681, 450 |
| 3 | 939, 108, 441, 681, 225 |
| 3 | 313, 36, 147, 227, 75 |
| 313, 12, 49, 227, 25 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 313 x 12 x 49 x 227 x 25 = 18800094600
Therefore, the lowest common multiple of 939,216,441,681,450 is 18800094600.
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.
939 x 216 x 441 x 681 x 450 = 27410537926800
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.
939 : 1, 3, 313, 939
216 : 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 108, 216
441 : 1, 3, 7, 9, 21, 49, 63, 147, 441
681 : 1, 3, 227, 681
450 : 1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 30, 45, 50, 75, 90, 150, 225, 450
3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 939,216,441,681,450, is 3.
Now, the common factors can be found like this.
939:3x 313
216:2x 2x 2x 3x 3x 3
441:3x 3x 7x 7
681:3x 227
450:2x 3x 3x 5x 5
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 3x 3x 3x 3 = 486
Therefore, the value for common factors is 486.
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 = 27410537926800/(3x486)
LCM = 27410537926800/1458
LCM = 18800094600
Thus, we can understand that the LCM of 939,216,441,681,450 is 18800094600.
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FAQs on LCM of 939, 216, 441, 681, 450
1. What is the LCM of 939, 216, 441, 681, 450?
Answer: LCM of 939, 216, 441, 681, 450 is 18800094600.
2. How to calculate the LCM of 939, 216, 441, 681, 450?
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 939, 216, 441, 681, 450.
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}.