LCM of 537, 759, 840, 308, 208
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 537, 759, 840, 308, 208 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, 759, 840, 308, 208. So, keep reading to learn more.
Given numbers are 537,759,840,308,208
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 537,759,840,308,208 is 989068080.
Find LCM of 537,759,840,308,208 with Prime Factorization
| 2 | 537, 759, 840, 308, 208 |
| 2 | 537, 759, 420, 154, 104 |
| 2 | 537, 759, 210, 77, 52 |
| 3 | 537, 759, 105, 77, 26 |
| 7 | 179, 253, 35, 77, 26 |
| 11 | 179, 253, 5, 11, 26 |
| 179, 23, 5, 1, 26 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 7 x 11 x 179 x 23 x 5 x 1 x 26 = 989068080
Therefore, the lowest common multiple of 537,759,840,308,208 is 989068080.
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 759 x 840 x 308 x 208 = 21933573742080
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
759 : 1, 3, 11, 23, 33, 69, 253, 759
840 : 1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 20, 21, 24, 28, 30, 35, 40, 42, 56, 60, 70, 84, 105, 120, 140, 168, 210, 280, 420, 840
308 : 1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 154, 308
208 : 1, 2, 4, 8, 13, 16, 26, 52, 104, 208
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 537,759,840,308,208, is 1.
Now, the common factors can be found like this.
537:3x 179
759:3x 11x 23
840:2x 2x 2x 3x 5x 7
308:2x 2x 7x 11
208:2x 2x 2x 2x 13
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 3x 3x 7x 11 = 22176
Therefore, the value for common factors is 22176.
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 = 21933573742080/(1x22176)
LCM = 21933573742080/22176
LCM = 989068080
Thus, we can understand that the LCM of 537,759,840,308,208 is 989068080.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 537, 759, 840, 308, 208
1. What is the LCM of 537, 759, 840, 308, 208?
Answer: LCM of 537, 759, 840, 308, 208 is 989068080.
2. How to calculate the LCM of 537, 759, 840, 308, 208?
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, 759, 840, 308, 208.
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}.