Find the LCM of 849, 780, 654, 273 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 849, 780, 654, 273. So, keep reading to learn more.
Given numbers are 849,780,654,273
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 849,780,654,273 is 168424620.
Find LCM of 849,780,654,273 with Prime Factorization
2 | 849, 780, 654, 273 |
3 | 849, 390, 327, 273 |
13 | 283, 130, 109, 91 |
283, 10, 109, 7 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 13 x 283 x 10 x 109 x 7 = 168424620
Therefore, the lowest common multiple of 849,780,654,273 is 168424620.
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.
849 x 780 x 654 x 273 = 118234083240
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.
849 : 1, 3, 283, 849
780 : 1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 52, 60, 65, 78, 130, 156, 195, 260, 390, 780
654 : 1, 2, 3, 6, 109, 218, 327, 654
273 : 1, 3, 7, 13, 21, 39, 91, 273
3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 849,780,654,273, is 3.
Now, the common factors can be found like this.
849:3x 283
780:2x 2x 3x 5x 13
654:2x 3x 109
273:3x 7x 13
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 3x 13 = 234
Therefore, the value for common factors is 234.
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 = 118234083240/(3x234)
LCM = 118234083240/702
LCM = 168424620
Thus, we can understand that the LCM of 849,780,654,273 is 168424620.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 849, 780, 654, 273?
Answer: LCM of 849, 780, 654, 273 is 168424620.
2. How to calculate the LCM of 849, 780, 654, 273?
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 849, 780, 654, 273.
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}.