Find the LCM of 349, 810, 249, 804, 270 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 349, 810, 249, 804, 270. So, keep reading to learn more.
Given numbers are 349,810,249,804,270
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 349,810,249,804,270 is 3144078180.
Find LCM of 349,810,249,804,270 with Prime Factorization
2 | 349, 810, 249, 804, 270 |
3 | 349, 405, 249, 402, 135 |
3 | 349, 45, 83, 134, 135 |
3 | 349, 15, 83, 134, 45 |
5 | 349, 5, 83, 134, 15 |
349, 1, 83, 134, 3 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 3 x 5 x 349 x 1 x 83 x 134 x 3 = 3144078180
Therefore, the lowest common multiple of 349,810,249,804,270 is 3144078180.
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.
349 x 810 x 249 x 804 x 270 = 15280219954800
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.
349 : 1, 349
810 : 1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 81, 90, 135, 162, 270, 405, 810
249 : 1, 3, 83, 249
804 : 1, 2, 3, 4, 6, 12, 67, 134, 201, 268, 402, 804
270 : 1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 270
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 349,810,249,804,270, is 1.
Now, the common factors can be found like this.
349:349
810:2x 3x 3x 3x 3x 5
249:3x 83
804:2x 2x 3x 67
270:2x 3x 3x 3x 5
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 3x 3x 3x 3x 3x 5 = 4860
Therefore, the value for common factors is 4860.
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 = 15280219954800/(1x4860)
LCM = 15280219954800/4860
LCM = 3144078180
Thus, we can understand that the LCM of 349,810,249,804,270 is 3144078180.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 349, 810, 249, 804, 270?
Answer: LCM of 349, 810, 249, 804, 270 is 3144078180.
2. How to calculate the LCM of 349, 810, 249, 804, 270?
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 349, 810, 249, 804, 270.
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}.