LCM of 315, 347, 105, 958, 964
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 315, 347, 105, 958, 964 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, 347, 105, 958, 964. So, keep reading to learn more.
Given numbers are 315,347,105,958,964
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 315,347,105,958,964 is 50472239580.
Find LCM of 315,347,105,958,964 with Prime Factorization
| 2 | 315, 347, 105, 958, 964 |
| 3 | 315, 347, 105, 479, 482 |
| 5 | 35, 347, 105, 479, 482 |
| 7 | 7, 347, 21, 479, 482 |
| 1, 347, 3, 479, 482 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 7 x 1 x 347 x 3 x 479 x 482 = 50472239580
Therefore, the lowest common multiple of 315,347,105,958,964 is 50472239580.
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 347 x 105 x 958 x 964 = 10599170311800
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
347 : 1, 347
105 : 1, 3, 5, 7, 15, 21, 35, 105
958 : 1, 2, 479, 958
964 : 1, 2, 4, 241, 482, 964
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 315,347,105,958,964, is 1.
Now, the common factors can be found like this.
315:3x 3x 5x 7
347:347
105:3x 5x 7
958:2x 479
964:2x 2x 241
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 = 10599170311800/(1x210)
LCM = 10599170311800/210
LCM = 50472239580
Thus, we can understand that the LCM of 315,347,105,958,964 is 50472239580.
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FAQs on LCM of 315, 347, 105, 958, 964
1. What is the LCM of 315, 347, 105, 958, 964?
Answer: LCM of 315, 347, 105, 958, 964 is 50472239580.
2. How to calculate the LCM of 315, 347, 105, 958, 964?
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, 347, 105, 958, 964.
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}.