LCM of 305, 671, 330, 894
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 305, 671, 330, 894 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 305, 671, 330, 894. So, keep reading to learn more.
Given numbers are 305,671,330,894
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 305,671,330,894 is 2999370.
Find LCM of 305,671,330,894 with Prime Factorization
| 2 | 305, 671, 330, 894 |
| 3 | 305, 671, 165, 447 |
| 5 | 305, 671, 55, 149 |
| 11 | 61, 671, 11, 149 |
| 61 | 61, 61, 1, 149 |
| 1, 1, 1, 149 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 11 x 61 x 1 x 1 x 1 x 149 = 2999370
Therefore, the lowest common multiple of 305,671,330,894 is 2999370.
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.
305 x 671 x 330 x 894 = 60377318100
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.
305 : 1, 5, 61, 305
671 : 1, 11, 61, 671
330 : 1, 2, 3, 5, 6, 10, 11, 15, 22, 30, 33, 55, 66, 110, 165, 330
894 : 1, 2, 3, 6, 149, 298, 447, 894
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 305,671,330,894, is 1.
Now, the common factors can be found like this.
305:5x 61
671:11x 61
330:2x 3x 5x 11
894:2x 3x 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 3x 5x 11x 61 = 20130
Therefore, the value for common factors is 20130.
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 = 60377318100/(1x20130)
LCM = 60377318100/20130
LCM = 2999370
Thus, we can understand that the LCM of 305,671,330,894 is 2999370.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 305, 671, 330, 894
1. What is the LCM of 305, 671, 330, 894?
Answer: LCM of 305, 671, 330, 894 is 2999370.
2. How to calculate the LCM of 305, 671, 330, 894?
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 305, 671, 330, 894.
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}.