LCM of 316, 912, 126, 205, 513
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 316, 912, 126, 205, 513 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 316, 912, 126, 205, 513. So, keep reading to learn more.
Given numbers are 316,912,126,205,513
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 316,912,126,205,513 is 930499920.
Find LCM of 316,912,126,205,513 with Prime Factorization
| 2 | 316, 912, 126, 205, 513 |
| 2 | 158, 456, 63, 205, 513 |
| 3 | 79, 228, 63, 205, 513 |
| 3 | 79, 76, 21, 205, 171 |
| 19 | 79, 76, 7, 205, 57 |
| 79, 4, 7, 205, 3 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 19 x 79 x 4 x 7 x 205 x 3 = 930499920
Therefore, the lowest common multiple of 316,912,126,205,513 is 930499920.
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.
316 x 912 x 126 x 205 x 513 = 3818771671680
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.
316 : 1, 2, 4, 79, 158, 316
912 : 1, 2, 3, 4, 6, 8, 12, 16, 19, 24, 38, 48, 57, 76, 114, 152, 228, 304, 456, 912
126 : 1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126
205 : 1, 5, 41, 205
513 : 1, 3, 9, 19, 27, 57, 171, 513
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 316,912,126,205,513, is 1.
Now, the common factors can be found like this.
316:2x 2x 79
912:2x 2x 2x 2x 3x 19
126:2x 3x 3x 7
205:5x 41
513:3x 3x 3x 19
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 19 = 4104
Therefore, the value for common factors is 4104.
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 = 3818771671680/(1x4104)
LCM = 3818771671680/4104
LCM = 930499920
Thus, we can understand that the LCM of 316,912,126,205,513 is 930499920.
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FAQs on LCM of 316, 912, 126, 205, 513
1. What is the LCM of 316, 912, 126, 205, 513?
Answer: LCM of 316, 912, 126, 205, 513 is 930499920.
2. How to calculate the LCM of 316, 912, 126, 205, 513?
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 316, 912, 126, 205, 513.
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}.