LCM of 274, 589, 411, 569, 513
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 274, 589, 411, 569, 513 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 274, 589, 411, 569, 513. So, keep reading to learn more.
Given numbers are 274,589,411,569,513
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 274,589,411,569,513 is 2479373118.
Find LCM of 274,589,411,569,513 with Prime Factorization
| 3 | 274, 589, 411, 569, 513 |
| 19 | 274, 589, 137, 569, 171 |
| 137 | 274, 31, 137, 569, 9 |
| 2, 31, 1, 569, 9 |
Multiply the prime numbers at the bottom and the left side.
3 x 19 x 137 x 2 x 31 x 1 x 569 x 9 = 2479373118
Therefore, the lowest common multiple of 274,589,411,569,513 is 2479373118.
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.
274 x 589 x 411 x 569 x 513 = 19361424678462
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.
274 : 1, 2, 137, 274
589 : 1, 19, 31, 589
411 : 1, 3, 137, 411
569 : 1, 569
513 : 1, 3, 9, 19, 27, 57, 171, 513
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 274,589,411,569,513, is 1.
Now, the common factors can be found like this.
274:2x 137
589:19x 31
411:3x 137
569:569
513:3x 3x 3x 19
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 19x 137 = 7809
Therefore, the value for common factors is 7809.
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 = 19361424678462/(1x7809)
LCM = 19361424678462/7809
LCM = 2479373118
Thus, we can understand that the LCM of 274,589,411,569,513 is 2479373118.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 274, 589, 411, 569, 513
1. What is the LCM of 274, 589, 411, 569, 513?
Answer: LCM of 274, 589, 411, 569, 513 is 2479373118.
2. How to calculate the LCM of 274, 589, 411, 569, 513?
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 274, 589, 411, 569, 513.
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}.