Find the LCM of 332, 403, 508, 755, 596 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 332, 403, 508, 755, 596. So, keep reading to learn more.
Given numbers are 332,403,508,755,596
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 332,403,508,755,596 is 1911525389540.
Find LCM of 332,403,508,755,596 with Prime Factorization
2 | 332, 403, 508, 755, 596 |
2 | 166, 403, 254, 755, 298 |
83, 403, 127, 755, 149 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 83 x 403 x 127 x 755 x 149 = 1911525389540
Therefore, the lowest common multiple of 332,403,508,755,596 is 1911525389540.
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.
332 x 403 x 508 x 755 x 596 = 30584406232640
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.
332 : 1, 2, 4, 83, 166, 332
403 : 1, 13, 31, 403
508 : 1, 2, 4, 127, 254, 508
755 : 1, 5, 151, 755
596 : 1, 2, 4, 149, 298, 596
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 332,403,508,755,596, is 1.
Now, the common factors can be found like this.
332:2x 2x 83
403:13x 31
508:2x 2x 127
755:5x 151
596:2x 2x 149
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 2 = 16
Therefore, the value for common factors is 16.
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 = 30584406232640/(1x16)
LCM = 30584406232640/16
LCM = 1911525389540
Thus, we can understand that the LCM of 332,403,508,755,596 is 1911525389540.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 332, 403, 508, 755, 596?
Answer: LCM of 332, 403, 508, 755, 596 is 1911525389540.
2. How to calculate the LCM of 332, 403, 508, 755, 596?
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 332, 403, 508, 755, 596.
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}.