LCM of 232, 420, 540, 849, 846
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 232, 420, 540, 849, 846 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 232, 420, 540, 849, 846. So, keep reading to learn more.
Given numbers are 232,420,540,849,846
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 232,420,540,849,846 is 2916111240.
Find LCM of 232,420,540,849,846 with Prime Factorization
| 2 | 232, 420, 540, 849, 846 |
| 2 | 116, 210, 270, 849, 423 |
| 3 | 58, 105, 135, 849, 423 |
| 3 | 58, 35, 45, 283, 141 |
| 5 | 58, 35, 15, 283, 47 |
| 58, 7, 3, 283, 47 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 5 x 58 x 7 x 3 x 283 x 47 = 2916111240
Therefore, the lowest common multiple of 232,420,540,849,846 is 2916111240.
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.
232 x 420 x 540 x 849 x 846 = 37792801670400
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.
232 : 1, 2, 4, 8, 29, 58, 116, 232
420 : 1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420
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
849 : 1, 3, 283, 849
846 : 1, 2, 3, 6, 9, 18, 47, 94, 141, 282, 423, 846
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 232,420,540,849,846, is 1.
Now, the common factors can be found like this.
232:2x 2x 2x 29
420:2x 2x 3x 5x 7
540:2x 2x 3x 3x 3x 5
849:3x 283
846:2x 3x 3x 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 2x 2x 2x 3x 3x 3x 3x 5 = 12960
Therefore, the value for common factors is 12960.
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 = 37792801670400/(1x12960)
LCM = 37792801670400/12960
LCM = 2916111240
Thus, we can understand that the LCM of 232,420,540,849,846 is 2916111240.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 232, 420, 540, 849, 846
1. What is the LCM of 232, 420, 540, 849, 846?
Answer: LCM of 232, 420, 540, 849, 846 is 2916111240.
2. How to calculate the LCM of 232, 420, 540, 849, 846?
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 232, 420, 540, 849, 846.
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}.