LCM of 913, 321, 414, 663, 900
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 913, 321, 414, 663, 900 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 913, 321, 414, 663, 900. So, keep reading to learn more.
Given numbers are 913,321,414,663,900
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 913,321,414,663,900 is 446907017700.
Find LCM of 913,321,414,663,900 with Prime Factorization
| 2 | 913, 321, 414, 663, 900 |
| 3 | 913, 321, 207, 663, 450 |
| 3 | 913, 107, 69, 221, 150 |
| 913, 107, 23, 221, 50 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 913 x 107 x 23 x 221 x 50 = 446907017700
Therefore, the lowest common multiple of 913,321,414,663,900 is 446907017700.
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.
913 x 321 x 414 x 663 x 900 = 72398936867400
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.
913 : 1, 11, 83, 913
321 : 1, 3, 107, 321
414 : 1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414
663 : 1, 3, 13, 17, 39, 51, 221, 663
900 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 150, 180, 225, 300, 450, 900
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 913,321,414,663,900, is 1.
Now, the common factors can be found like this.
913:11x 83
321:3x 107
414:2x 3x 3x 23
663:3x 13x 17
900:2x 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 3 = 162
Therefore, the value for common factors is 162.
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 = 72398936867400/(1x162)
LCM = 72398936867400/162
LCM = 446907017700
Thus, we can understand that the LCM of 913,321,414,663,900 is 446907017700.
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FAQs on LCM of 913, 321, 414, 663, 900
1. What is the LCM of 913, 321, 414, 663, 900?
Answer: LCM of 913, 321, 414, 663, 900 is 446907017700.
2. How to calculate the LCM of 913, 321, 414, 663, 900?
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 913, 321, 414, 663, 900.
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}.