Find the LCM of 344, 654, 134, 591 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 344, 654, 134, 591. So, keep reading to learn more.
Given numbers are 344,654,134,591
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 344,654,134,591 is 1484729112.
Find LCM of 344,654,134,591 with Prime Factorization
2 | 344, 654, 134, 591 |
3 | 172, 327, 67, 591 |
172, 109, 67, 197 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 172 x 109 x 67 x 197 = 1484729112
Therefore, the lowest common multiple of 344,654,134,591 is 1484729112.
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.
344 x 654 x 134 x 591 = 17816749344
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.
344 : 1, 2, 4, 8, 43, 86, 172, 344
654 : 1, 2, 3, 6, 109, 218, 327, 654
134 : 1, 2, 67, 134
591 : 1, 3, 197, 591
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 344,654,134,591, is 1.
Now, the common factors can be found like this.
344:2x 2x 2x 43
654:2x 3x 109
134:2x 67
591:3x 197
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 3 = 12
Therefore, the value for common factors is 12.
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 = 17816749344/(1x12)
LCM = 17816749344/12
LCM = 1484729112
Thus, we can understand that the LCM of 344,654,134,591 is 1484729112.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 344, 654, 134, 591?
Answer: LCM of 344, 654, 134, 591 is 1484729112.
2. How to calculate the LCM of 344, 654, 134, 591?
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 344, 654, 134, 591.
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}.