LCM of 671, 160, 175, 589, 925
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 671, 160, 175, 589, 925 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, 160, 175, 589, 925. So, keep reading to learn more.
Given numbers are 671,160,175,589,925
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 671,160,175,589,925 is 81889376800.
Find LCM of 671,160,175,589,925 with Prime Factorization
| 5 | 671, 160, 175, 589, 925 |
| 5 | 671, 32, 35, 589, 185 |
| 671, 32, 7, 589, 37 |
Multiply the prime numbers at the bottom and the left side.
5 x 5 x 671 x 32 x 7 x 589 x 37 = 81889376800
Therefore, the lowest common multiple of 671,160,175,589,925 is 81889376800.
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 160 x 175 x 589 x 925 = 10236172100000
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
160 : 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, 160
175 : 1, 5, 7, 25, 35, 175
589 : 1, 19, 31, 589
925 : 1, 5, 25, 37, 185, 925
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 671,160,175,589,925, is 1.
Now, the common factors can be found like this.
671:11x 61
160:2x 2x 2x 2x 2x 5
175:5x 5x 7
589:19x 31
925:5x 5x 37
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
5x 5x 5 = 125
Therefore, the value for common factors is 125.
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 = 10236172100000/(1x125)
LCM = 10236172100000/125
LCM = 81889376800
Thus, we can understand that the LCM of 671,160,175,589,925 is 81889376800.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 671, 160, 175, 589, 925
1. What is the LCM of 671, 160, 175, 589, 925?
Answer: LCM of 671, 160, 175, 589, 925 is 81889376800.
2. How to calculate the LCM of 671, 160, 175, 589, 925?
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, 160, 175, 589, 925.
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}.