LCM of 315, 856, 463, 107, 693
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 315, 856, 463, 107, 693 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 315, 856, 463, 107, 693. So, keep reading to learn more.
Given numbers are 315,856,463,107,693
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 315,856,463,107,693 is 1373276520.
Find LCM of 315,856,463,107,693 with Prime Factorization
| 3 | 315, 856, 463, 107, 693 |
| 3 | 105, 856, 463, 107, 231 |
| 7 | 35, 856, 463, 107, 77 |
| 107 | 5, 856, 463, 107, 11 |
| 5, 8, 463, 1, 11 |
Multiply the prime numbers at the bottom and the left side.
3 x 3 x 7 x 107 x 5 x 8 x 463 x 1 x 11 = 1373276520
Therefore, the lowest common multiple of 315,856,463,107,693 is 1373276520.
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.
315 x 856 x 463 x 107 x 693 = 9257257021320
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.
315 : 1, 3, 5, 7, 9, 15, 21, 35, 45, 63, 105, 315
856 : 1, 2, 4, 8, 107, 214, 428, 856
463 : 1, 463
107 : 1, 107
693 : 1, 3, 7, 9, 11, 21, 33, 63, 77, 99, 231, 693
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 315,856,463,107,693, is 1.
Now, the common factors can be found like this.
315:3x 3x 5x 7
856:2x 2x 2x 107
463:463
107:107
693:3x 3x 7x 11
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 3x 7x 107 = 6741
Therefore, the value for common factors is 6741.
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 = 9257257021320/(1x6741)
LCM = 9257257021320/6741
LCM = 1373276520
Thus, we can understand that the LCM of 315,856,463,107,693 is 1373276520.
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FAQs on LCM of 315, 856, 463, 107, 693
1. What is the LCM of 315, 856, 463, 107, 693?
Answer: LCM of 315, 856, 463, 107, 693 is 1373276520.
2. How to calculate the LCM of 315, 856, 463, 107, 693?
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 315, 856, 463, 107, 693.
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}.