LCM of 323, 340, 103, 280, 240
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 323, 340, 103, 280, 240 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, 340, 103, 280, 240. So, keep reading to learn more.
Given numbers are 323,340,103,280,240
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 323,340,103,280,240 is 55891920.
Find LCM of 323,340,103,280,240 with Prime Factorization
| 2 | 323, 340, 103, 280, 240 |
| 2 | 323, 170, 103, 140, 120 |
| 2 | 323, 85, 103, 70, 60 |
| 5 | 323, 85, 103, 35, 30 |
| 17 | 323, 17, 103, 7, 6 |
| 19, 1, 103, 7, 6 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 5 x 17 x 19 x 1 x 103 x 7 x 6 = 55891920
Therefore, the lowest common multiple of 323,340,103,280,240 is 55891920.
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 340 x 103 x 280 x 240 = 760130112000
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
340 : 1, 2, 4, 5, 10, 17, 20, 34, 68, 85, 170, 340
103 : 1, 103
280 : 1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 35, 40, 56, 70, 140, 280
240 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 240
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 323,340,103,280,240, is 1.
Now, the common factors can be found like this.
323:17x 19
340:2x 2x 5x 17
103:103
280:2x 2x 2x 5x 7
240:2x 2x 2x 2x 3x 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 2x 2x 2x 5x 5x 17 = 13600
Therefore, the value for common factors is 13600.
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 = 760130112000/(1x13600)
LCM = 760130112000/13600
LCM = 55891920
Thus, we can understand that the LCM of 323,340,103,280,240 is 55891920.
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FAQs on LCM of 323, 340, 103, 280, 240
1. What is the LCM of 323, 340, 103, 280, 240?
Answer: LCM of 323, 340, 103, 280, 240 is 55891920.
2. How to calculate the LCM of 323, 340, 103, 280, 240?
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, 340, 103, 280, 240.
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}.