LCM of 589, 260, 490, 533
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 589, 260, 490, 533 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 589, 260, 490, 533. So, keep reading to learn more.
Given numbers are 589,260,490,533
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 589,260,490,533 is 307658260.
Find LCM of 589,260,490,533 with Prime Factorization
| 2 | 589, 260, 490, 533 |
| 5 | 589, 130, 245, 533 |
| 13 | 589, 26, 49, 533 |
| 589, 2, 49, 41 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 13 x 589 x 2 x 49 x 41 = 307658260
Therefore, the lowest common multiple of 589,260,490,533 is 307658260.
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.
589 x 260 x 490 x 533 = 39995573800
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.
589 : 1, 19, 31, 589
260 : 1, 2, 4, 5, 10, 13, 20, 26, 52, 65, 130, 260
490 : 1, 2, 5, 7, 10, 14, 35, 49, 70, 98, 245, 490
533 : 1, 13, 41, 533
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 589,260,490,533, is 1.
Now, the common factors can be found like this.
589:19x 31
260:2x 2x 5x 13
490:2x 5x 7x 7
533:13x 41
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 5x 13 = 130
Therefore, the value for common factors is 130.
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 = 39995573800/(1x130)
LCM = 39995573800/130
LCM = 307658260
Thus, we can understand that the LCM of 589,260,490,533 is 307658260.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 589, 260, 490, 533
1. What is the LCM of 589, 260, 490, 533?
Answer: LCM of 589, 260, 490, 533 is 307658260.
2. How to calculate the LCM of 589, 260, 490, 533?
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 589, 260, 490, 533.
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}.