LCM of 442, 527, 434, 589
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 442, 527, 434, 589 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 442, 527, 434, 589. So, keep reading to learn more.
Given numbers are 442,527,434,589
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 442,527,434,589 is 1822366.
Find LCM of 442,527,434,589 with Prime Factorization
| 2 | 442, 527, 434, 589 |
| 17 | 221, 527, 217, 589 |
| 31 | 13, 31, 217, 589 |
| 13, 1, 7, 19 |
Multiply the prime numbers at the bottom and the left side.
2 x 17 x 31 x 13 x 1 x 7 x 19 = 1822366
Therefore, the lowest common multiple of 442,527,434,589 is 1822366.
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.
442 x 527 x 434 x 589 = 59543986684
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.
442 : 1, 2, 13, 17, 26, 34, 221, 442
527 : 1, 17, 31, 527
434 : 1, 2, 7, 14, 31, 62, 217, 434
589 : 1, 19, 31, 589
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 442,527,434,589, is 1.
Now, the common factors can be found like this.
442:2x 13x 17
527:17x 31
434:2x 7x 31
589:19x 31
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 17x 31x 31 = 32674
Therefore, the value for common factors is 32674.
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 = 59543986684/(1x32674)
LCM = 59543986684/32674
LCM = 1822366
Thus, we can understand that the LCM of 442,527,434,589 is 1822366.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 442, 527, 434, 589
1. What is the LCM of 442, 527, 434, 589?
Answer: LCM of 442, 527, 434, 589 is 1822366.
2. How to calculate the LCM of 442, 527, 434, 589?
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 442, 527, 434, 589.
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}.