Find the LCM of 346, 529, 131, 675, 644 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 346, 529, 131, 675, 644. So, keep reading to learn more.
Given numbers are 346,529,131,675,644
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 346,529,131,675,644 is 226586940300.
Find LCM of 346,529,131,675,644 with Prime Factorization
2 | 346, 529, 131, 675, 644 |
23 | 173, 529, 131, 675, 322 |
173, 23, 131, 675, 14 |
Multiply the prime numbers at the bottom and the left side.
2 x 23 x 173 x 23 x 131 x 675 x 14 = 226586940300
Therefore, the lowest common multiple of 346,529,131,675,644 is 226586940300.
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.
346 x 529 x 131 x 675 x 644 = 10422999253800
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.
346 : 1, 2, 173, 346
529 : 1, 23, 529
131 : 1, 131
675 : 1, 3, 5, 9, 15, 25, 27, 45, 75, 135, 225, 675
644 : 1, 2, 4, 7, 14, 23, 28, 46, 92, 161, 322, 644
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 346,529,131,675,644, is 1.
Now, the common factors can be found like this.
346:2x 173
529:23x 23
131:131
675:3x 3x 3x 5x 5
644:2x 2x 7x 23
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 23 = 46
Therefore, the value for common factors is 46.
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 = 10422999253800/(1x46)
LCM = 10422999253800/46
LCM = 226586940300
Thus, we can understand that the LCM of 346,529,131,675,644 is 226586940300.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 346, 529, 131, 675, 644?
Answer: LCM of 346, 529, 131, 675, 644 is 226586940300.
2. How to calculate the LCM of 346, 529, 131, 675, 644?
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 346, 529, 131, 675, 644.
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}.