LCM of 537, 520, 500, 206, 309
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 537, 520, 500, 206, 309 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 537, 520, 500, 206, 309. So, keep reading to learn more.
Given numbers are 537,520,500,206,309
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 537,520,500,206,309 is 719043000.
Find LCM of 537,520,500,206,309 with Prime Factorization
| 2 | 537, 520, 500, 206, 309 |
| 2 | 537, 260, 250, 103, 309 |
| 3 | 537, 130, 125, 103, 309 |
| 5 | 179, 130, 125, 103, 103 |
| 103 | 179, 26, 25, 103, 103 |
| 179, 26, 25, 1, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 5 x 103 x 179 x 26 x 25 x 1 x 1 = 719043000
Therefore, the lowest common multiple of 537,520,500,206,309 is 719043000.
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.
537 x 520 x 500 x 206 x 309 = 8887371480000
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.
537 : 1, 3, 179, 537
520 : 1, 2, 4, 5, 8, 10, 13, 20, 26, 40, 52, 65, 104, 130, 260, 520
500 : 1, 2, 4, 5, 10, 20, 25, 50, 100, 125, 250, 500
206 : 1, 2, 103, 206
309 : 1, 3, 103, 309
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 537,520,500,206,309, is 1.
Now, the common factors can be found like this.
537:3x 179
520:2x 2x 2x 5x 13
500:2x 2x 5x 5x 5
206:2x 103
309:3x 103
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 3x 5x 103 = 12360
Therefore, the value for common factors is 12360.
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 = 8887371480000/(1x12360)
LCM = 8887371480000/12360
LCM = 719043000
Thus, we can understand that the LCM of 537,520,500,206,309 is 719043000.
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FAQs on LCM of 537, 520, 500, 206, 309
1. What is the LCM of 537, 520, 500, 206, 309?
Answer: LCM of 537, 520, 500, 206, 309 is 719043000.
2. How to calculate the LCM of 537, 520, 500, 206, 309?
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 537, 520, 500, 206, 309.
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}.