LCM of 894, 540, 844, 930, 849
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 894, 540, 844, 930, 849 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 894, 540, 844, 930, 849. So, keep reading to learn more.
Given numbers are 894,540,844,930,849
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 894,540,844,930,849 is 148939747380.
Find LCM of 894,540,844,930,849 with Prime Factorization
| 2 | 894, 540, 844, 930, 849 |
| 2 | 447, 270, 422, 465, 849 |
| 3 | 447, 135, 211, 465, 849 |
| 5 | 149, 45, 211, 155, 283 |
| 149, 9, 211, 31, 283 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 5 x 149 x 9 x 211 x 31 x 283 = 148939747380
Therefore, the lowest common multiple of 894,540,844,930,849 is 148939747380.
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.
894 x 540 x 844 x 930 x 849 = 321709854340800
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.
894 : 1, 2, 3, 6, 149, 298, 447, 894
540 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 90, 108, 135, 180, 270, 540
844 : 1, 2, 4, 211, 422, 844
930 : 1, 2, 3, 5, 6, 10, 15, 30, 31, 62, 93, 155, 186, 310, 465, 930
849 : 1, 3, 283, 849
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 894,540,844,930,849, is 1.
Now, the common factors can be found like this.
894:2x 3x 149
540:2x 2x 3x 3x 3x 5
844:2x 2x 211
930:2x 3x 5x 31
849:3x 283
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 2x 3x 3x 3x 5 = 2160
Therefore, the value for common factors is 2160.
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 = 321709854340800/(1x2160)
LCM = 321709854340800/2160
LCM = 148939747380
Thus, we can understand that the LCM of 894,540,844,930,849 is 148939747380.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 894, 540, 844, 930, 849
1. What is the LCM of 894, 540, 844, 930, 849?
Answer: LCM of 894, 540, 844, 930, 849 is 148939747380.
2. How to calculate the LCM of 894, 540, 844, 930, 849?
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 894, 540, 844, 930, 849.
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}.