LCM of 315, 905, 106, 294, 857
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 315, 905, 106, 294, 857 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, 905, 106, 294, 857. So, keep reading to learn more.
Given numbers are 315,905,106,294,857
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 315,905,106,294,857 is 36255496410.
Find LCM of 315,905,106,294,857 with Prime Factorization
| 2 | 315, 905, 106, 294, 857 |
| 3 | 315, 905, 53, 147, 857 |
| 5 | 105, 905, 53, 49, 857 |
| 7 | 21, 181, 53, 49, 857 |
| 3, 181, 53, 7, 857 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 7 x 3 x 181 x 53 x 7 x 857 = 36255496410
Therefore, the lowest common multiple of 315,905,106,294,857 is 36255496410.
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 905 x 106 x 294 x 857 = 7613654246100
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
905 : 1, 5, 181, 905
106 : 1, 2, 53, 106
294 : 1, 2, 3, 6, 7, 14, 21, 42, 49, 98, 147, 294
857 : 1, 857
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 315,905,106,294,857, is 1.
Now, the common factors can be found like this.
315:3x 3x 5x 7
905:5x 181
106:2x 53
294:2x 3x 7x 7
857:857
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 5x 7 = 210
Therefore, the value for common factors is 210.
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 = 7613654246100/(1x210)
LCM = 7613654246100/210
LCM = 36255496410
Thus, we can understand that the LCM of 315,905,106,294,857 is 36255496410.
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FAQs on LCM of 315, 905, 106, 294, 857
1. What is the LCM of 315, 905, 106, 294, 857?
Answer: LCM of 315, 905, 106, 294, 857 is 36255496410.
2. How to calculate the LCM of 315, 905, 106, 294, 857?
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, 905, 106, 294, 857.
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}.