LCM of 315, 234, 115, 386, 900
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 315, 234, 115, 386, 900 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, 234, 115, 386, 900. So, keep reading to learn more.
Given numbers are 315,234,115,386,900
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 315,234,115,386,900 is 363554100.
Find LCM of 315,234,115,386,900 with Prime Factorization
| 2 | 315, 234, 115, 386, 900 |
| 3 | 315, 117, 115, 193, 450 |
| 3 | 105, 39, 115, 193, 150 |
| 5 | 35, 13, 115, 193, 50 |
| 7, 13, 23, 193, 10 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 5 x 7 x 13 x 23 x 193 x 10 = 363554100
Therefore, the lowest common multiple of 315,234,115,386,900 is 363554100.
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 234 x 115 x 386 x 900 = 2944788210000
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
234 : 1, 2, 3, 6, 9, 13, 18, 26, 39, 78, 117, 234
115 : 1, 5, 23, 115
386 : 1, 2, 193, 386
900 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 150, 180, 225, 300, 450, 900
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 315,234,115,386,900, is 1.
Now, the common factors can be found like this.
315:3x 3x 5x 7
234:2x 3x 3x 13
115:5x 23
386:2x 193
900:2x 2x 3x 3x 5x 5
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 3x 3x 3x 3x 5x 5 = 8100
Therefore, the value for common factors is 8100.
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 = 2944788210000/(1x8100)
LCM = 2944788210000/8100
LCM = 363554100
Thus, we can understand that the LCM of 315,234,115,386,900 is 363554100.
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FAQs on LCM of 315, 234, 115, 386, 900
1. What is the LCM of 315, 234, 115, 386, 900?
Answer: LCM of 315, 234, 115, 386, 900 is 363554100.
2. How to calculate the LCM of 315, 234, 115, 386, 900?
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, 234, 115, 386, 900.
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}.