Find the LCM of 349, 485, 194, 410 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, 485, 194, 410. So, keep reading to learn more.
Given numbers are 349,485,194,410
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 349,485,194,410 is 13879730.
Find LCM of 349,485,194,410 with Prime Factorization
2 | 349, 485, 194, 410 |
5 | 349, 485, 97, 205 |
97 | 349, 97, 97, 41 |
349, 1, 1, 41 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 97 x 349 x 1 x 1 x 41 = 13879730
Therefore, the lowest common multiple of 349,485,194,410 is 13879730.
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 485 x 194 x 410 = 13463338100
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
485 : 1, 5, 97, 485
194 : 1, 2, 97, 194
410 : 1, 2, 5, 10, 41, 82, 205, 410
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 349,485,194,410, is 1.
Now, the common factors can be found like this.
349:349
485:5x 97
194:2x 97
410:2x 5x 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 97 = 970
Therefore, the value for common factors is 970.
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 = 13463338100/(1x970)
LCM = 13463338100/970
LCM = 13879730
Thus, we can understand that the LCM of 349,485,194,410 is 13879730.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 349, 485, 194, 410?
Answer: LCM of 349, 485, 194, 410 is 13879730.
2. How to calculate the LCM of 349, 485, 194, 410?
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, 485, 194, 410.
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}.