LCM of 153, 312, 614, 897, 966
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 153, 312, 614, 897, 966 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 153, 312, 614, 897, 966. So, keep reading to learn more.
Given numbers are 153,312,614,897,966
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 153,312,614,897,966 is 786482424.
Find LCM of 153,312,614,897,966 with Prime Factorization
| 2 | 153, 312, 614, 897, 966 |
| 3 | 153, 156, 307, 897, 483 |
| 13 | 51, 52, 307, 299, 161 |
| 23 | 51, 4, 307, 23, 161 |
| 51, 4, 307, 1, 7 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 13 x 23 x 51 x 4 x 307 x 1 x 7 = 786482424
Therefore, the lowest common multiple of 153,312,614,897,966 is 786482424.
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.
153 x 312 x 614 x 897 x 966 = 25397090435808
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.
153 : 1, 3, 9, 17, 51, 153
312 : 1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312
614 : 1, 2, 307, 614
897 : 1, 3, 13, 23, 39, 69, 299, 897
966 : 1, 2, 3, 6, 7, 14, 21, 23, 42, 46, 69, 138, 161, 322, 483, 966
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 153,312,614,897,966, is 1.
Now, the common factors can be found like this.
153:3x 3x 17
312:2x 2x 2x 3x 13
614:2x 307
897:3x 13x 23
966:2x 3x 7x 23
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 3x 3x 3x 13x 23 = 32292
Therefore, the value for common factors is 32292.
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 = 25397090435808/(1x32292)
LCM = 25397090435808/32292
LCM = 786482424
Thus, we can understand that the LCM of 153,312,614,897,966 is 786482424.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 153, 312, 614, 897, 966
1. What is the LCM of 153, 312, 614, 897, 966?
Answer: LCM of 153, 312, 614, 897, 966 is 786482424.
2. How to calculate the LCM of 153, 312, 614, 897, 966?
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 153, 312, 614, 897, 966.
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}.