LCM of 945, 432, 713, 326, 815
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 945, 432, 713, 326, 815 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 945, 432, 713, 326, 815. So, keep reading to learn more.
Given numbers are 945,432,713,326,815
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 945,432,713,326,815 is 1757231280.
Find LCM of 945,432,713,326,815 with Prime Factorization
| 2 | 945, 432, 713, 326, 815 |
| 3 | 945, 216, 713, 163, 815 |
| 3 | 315, 72, 713, 163, 815 |
| 3 | 105, 24, 713, 163, 815 |
| 5 | 35, 8, 713, 163, 815 |
| 163 | 7, 8, 713, 163, 163 |
| 7, 8, 713, 1, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 3 x 5 x 163 x 7 x 8 x 713 x 1 x 1 = 1757231280
Therefore, the lowest common multiple of 945,432,713,326,815 is 1757231280.
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.
945 x 432 x 713 x 326 x 815 = 77335748632800
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.
945 : 1, 3, 5, 7, 9, 15, 21, 27, 35, 45, 63, 105, 135, 189, 315, 945
432 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 72, 108, 144, 216, 432
713 : 1, 23, 31, 713
326 : 1, 2, 163, 326
815 : 1, 5, 163, 815
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 945,432,713,326,815, is 1.
Now, the common factors can be found like this.
945:3x 3x 3x 5x 7
432:2x 2x 2x 2x 3x 3x 3
713:23x 31
326:2x 163
815:5x 163
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 3x 3x 5x 163 = 44010
Therefore, the value for common factors is 44010.
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 = 77335748632800/(1x44010)
LCM = 77335748632800/44010
LCM = 1757231280
Thus, we can understand that the LCM of 945,432,713,326,815 is 1757231280.
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FAQs on LCM of 945, 432, 713, 326, 815
1. What is the LCM of 945, 432, 713, 326, 815?
Answer: LCM of 945, 432, 713, 326, 815 is 1757231280.
2. How to calculate the LCM of 945, 432, 713, 326, 815?
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 945, 432, 713, 326, 815.
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}.