Find the LCM of 424, 210, 180, 569, 349 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 424, 210, 180, 569, 349. So, keep reading to learn more.
Given numbers are 424,210,180,569,349
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 424,210,180,569,349 is 26522478360.
Find LCM of 424,210,180,569,349 with Prime Factorization
2 | 424, 210, 180, 569, 349 |
2 | 212, 105, 90, 569, 349 |
3 | 106, 105, 45, 569, 349 |
5 | 106, 35, 15, 569, 349 |
106, 7, 3, 569, 349 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 5 x 106 x 7 x 3 x 569 x 349 = 26522478360
Therefore, the lowest common multiple of 424,210,180,569,349 is 26522478360.
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.
424 x 210 x 180 x 569 x 349 = 3182697403200
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.
424 : 1, 2, 4, 8, 53, 106, 212, 424
210 : 1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, 210
180 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180
569 : 1, 569
349 : 1, 349
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 424,210,180,569,349, is 1.
Now, the common factors can be found like this.
424:2x 2x 2x 53
210:2x 3x 5x 7
180:2x 2x 3x 3x 5
569:569
349:349
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 5 = 120
Therefore, the value for common factors is 120.
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 = 3182697403200/(1x120)
LCM = 3182697403200/120
LCM = 26522478360
Thus, we can understand that the LCM of 424,210,180,569,349 is 26522478360.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 424, 210, 180, 569, 349?
Answer: LCM of 424, 210, 180, 569, 349 is 26522478360.
2. How to calculate the LCM of 424, 210, 180, 569, 349?
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 424, 210, 180, 569, 349.
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}.