LCM of 315, 105, 441, 335, 949
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 315, 105, 441, 335, 949 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, 105, 441, 335, 949. So, keep reading to learn more.
Given numbers are 315,105,441,335,949
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 315,105,441,335,949 is 140200515.
Find LCM of 315,105,441,335,949 with Prime Factorization
| 3 | 315, 105, 441, 335, 949 |
| 3 | 105, 35, 147, 335, 949 |
| 5 | 35, 35, 49, 335, 949 |
| 7 | 7, 7, 49, 67, 949 |
| 1, 1, 7, 67, 949 |
Multiply the prime numbers at the bottom and the left side.
3 x 3 x 5 x 7 x 1 x 1 x 7 x 67 x 949 = 140200515
Therefore, the lowest common multiple of 315,105,441,335,949 is 140200515.
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 105 x 441 x 335 x 949 = 4637132033625
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
105 : 1, 3, 5, 7, 15, 21, 35, 105
441 : 1, 3, 7, 9, 21, 49, 63, 147, 441
335 : 1, 5, 67, 335
949 : 1, 13, 73, 949
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 315,105,441,335,949, is 1.
Now, the common factors can be found like this.
315:3x 3x 5x 7
105:3x 5x 7
441:3x 3x 7x 7
335:5x 67
949:13x 73
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 3x 5x 5x 7x 7 = 33075
Therefore, the value for common factors is 33075.
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 = 4637132033625/(1x33075)
LCM = 4637132033625/33075
LCM = 140200515
Thus, we can understand that the LCM of 315,105,441,335,949 is 140200515.
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FAQs on LCM of 315, 105, 441, 335, 949
1. What is the LCM of 315, 105, 441, 335, 949?
Answer: LCM of 315, 105, 441, 335, 949 is 140200515.
2. How to calculate the LCM of 315, 105, 441, 335, 949?
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, 105, 441, 335, 949.
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}.