Find the LCM of 638, 642, 532, 177 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 638, 642, 532, 177. So, keep reading to learn more.
Given numbers are 638,642,532,177
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 638,642,532,177 is 3214099812.
Find LCM of 638,642,532,177 with Prime Factorization
2 | 638, 642, 532, 177 |
3 | 319, 321, 266, 177 |
319, 107, 266, 59 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 319 x 107 x 266 x 59 = 3214099812
Therefore, the lowest common multiple of 638,642,532,177 is 3214099812.
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.
638 x 642 x 532 x 177 = 38569197744
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.
638 : 1, 2, 11, 22, 29, 58, 319, 638
642 : 1, 2, 3, 6, 107, 214, 321, 642
532 : 1, 2, 4, 7, 14, 19, 28, 38, 76, 133, 266, 532
177 : 1, 3, 59, 177
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 638,642,532,177, is 1.
Now, the common factors can be found like this.
638:2x 11x 29
642:2x 3x 107
532:2x 2x 7x 19
177:3x 59
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 = 38569197744/(1x12)
LCM = 38569197744/12
LCM = 3214099812
Thus, we can understand that the LCM of 638,642,532,177 is 3214099812.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 638, 642, 532, 177?
Answer: LCM of 638, 642, 532, 177 is 3214099812.
2. How to calculate the LCM of 638, 642, 532, 177?
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 638, 642, 532, 177.
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}.