LCM of 323, 480, 912, 615, 953
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 323, 480, 912, 615, 953 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 323, 480, 912, 615, 953. So, keep reading to learn more.
Given numbers are 323,480,912,615,953
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 323,480,912,615,953 is 6057877920.
Find LCM of 323,480,912,615,953 with Prime Factorization
| 2 | 323, 480, 912, 615, 953 |
| 2 | 323, 240, 456, 615, 953 |
| 2 | 323, 120, 228, 615, 953 |
| 2 | 323, 60, 114, 615, 953 |
| 3 | 323, 30, 57, 615, 953 |
| 5 | 323, 10, 19, 205, 953 |
| 19 | 323, 2, 19, 41, 953 |
| 17, 2, 1, 41, 953 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 3 x 5 x 19 x 17 x 2 x 1 x 41 x 953 = 6057877920
Therefore, the lowest common multiple of 323,480,912,615,953 is 6057877920.
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.
323 x 480 x 912 x 615 x 953 = 82871769945600
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.
323 : 1, 17, 19, 323
480 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 80, 96, 120, 160, 240, 480
912 : 1, 2, 3, 4, 6, 8, 12, 16, 19, 24, 38, 48, 57, 76, 114, 152, 228, 304, 456, 912
615 : 1, 3, 5, 15, 41, 123, 205, 615
953 : 1, 953
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 323,480,912,615,953, is 1.
Now, the common factors can be found like this.
323:17x 19
480:2x 2x 2x 2x 2x 3x 5
912:2x 2x 2x 2x 3x 19
615:3x 5x 41
953:953
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 2x 2x 3x 3x 5x 19 = 13680
Therefore, the value for common factors is 13680.
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 = 82871769945600/(1x13680)
LCM = 82871769945600/13680
LCM = 6057877920
Thus, we can understand that the LCM of 323,480,912,615,953 is 6057877920.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 323, 480, 912, 615, 953
1. What is the LCM of 323, 480, 912, 615, 953?
Answer: LCM of 323, 480, 912, 615, 953 is 6057877920.
2. How to calculate the LCM of 323, 480, 912, 615, 953?
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 323, 480, 912, 615, 953.
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}.