LCM of 328, 240, 596, 280, 501
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 328, 240, 596, 280, 501 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 328, 240, 596, 280, 501. So, keep reading to learn more.
Given numbers are 328,240,596,280,501
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 328,240,596,280,501 is 1713941040.
Find LCM of 328,240,596,280,501 with Prime Factorization
| 2 | 328, 240, 596, 280, 501 |
| 2 | 164, 120, 298, 140, 501 |
| 2 | 82, 60, 149, 70, 501 |
| 3 | 41, 30, 149, 35, 501 |
| 5 | 41, 10, 149, 35, 167 |
| 41, 2, 149, 7, 167 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 5 x 41 x 2 x 149 x 7 x 167 = 1713941040
Therefore, the lowest common multiple of 328,240,596,280,501 is 1713941040.
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.
328 x 240 x 596 x 280 x 501 = 6581533593600
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.
328 : 1, 2, 4, 8, 41, 82, 164, 328
240 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 240
596 : 1, 2, 4, 149, 298, 596
280 : 1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 35, 40, 56, 70, 140, 280
501 : 1, 3, 167, 501
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 328,240,596,280,501, is 1.
Now, the common factors can be found like this.
328:2x 2x 2x 41
240:2x 2x 2x 2x 3x 5
596:2x 2x 149
280:2x 2x 2x 5x 7
501:3x 167
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 2x 2x 2x 3x 5 = 3840
Therefore, the value for common factors is 3840.
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 = 6581533593600/(1x3840)
LCM = 6581533593600/3840
LCM = 1713941040
Thus, we can understand that the LCM of 328,240,596,280,501 is 1713941040.
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FAQs on LCM of 328, 240, 596, 280, 501
1. What is the LCM of 328, 240, 596, 280, 501?
Answer: LCM of 328, 240, 596, 280, 501 is 1713941040.
2. How to calculate the LCM of 328, 240, 596, 280, 501?
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 328, 240, 596, 280, 501.
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}.