Find the LCM of 671, 188, 342, 658 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 671, 188, 342, 658. So, keep reading to learn more.
Given numbers are 671,188,342,658
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 671,188,342,658 is 150999156.
Find LCM of 671,188,342,658 with Prime Factorization
2 | 671, 188, 342, 658 |
47 | 671, 94, 171, 329 |
671, 2, 171, 7 |
Multiply the prime numbers at the bottom and the left side.
2 x 47 x 671 x 2 x 171 x 7 = 150999156
Therefore, the lowest common multiple of 671,188,342,658 is 150999156.
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.
671 x 188 x 342 x 658 = 28387841328
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.
671 : 1, 11, 61, 671
188 : 1, 2, 4, 47, 94, 188
342 : 1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342
658 : 1, 2, 7, 14, 47, 94, 329, 658
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 671,188,342,658, is 1.
Now, the common factors can be found like this.
671:11x 61
188:2x 2x 47
342:2x 3x 3x 19
658:2x 7x 47
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 47 = 188
Therefore, the value for common factors is 188.
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 = 28387841328/(1x188)
LCM = 28387841328/188
LCM = 150999156
Thus, we can understand that the LCM of 671,188,342,658 is 150999156.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 671, 188, 342, 658?
Answer: LCM of 671, 188, 342, 658 is 150999156.
2. How to calculate the LCM of 671, 188, 342, 658?
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 671, 188, 342, 658.
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}.