LCM of 171, 963, 855, 747, 378
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 171, 963, 855, 747, 378 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 171, 963, 855, 747, 378. So, keep reading to learn more.
Given numbers are 171,963,855,747,378
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 171,963,855,747,378 is 318916710.
Find LCM of 171,963,855,747,378 with Prime Factorization
| 3 | 171, 963, 855, 747, 378 |
| 3 | 57, 321, 285, 249, 126 |
| 19 | 19, 107, 95, 83, 42 |
| 1, 107, 5, 83, 42 |
Multiply the prime numbers at the bottom and the left side.
3 x 3 x 19 x 1 x 107 x 5 x 83 x 42 = 318916710
Therefore, the lowest common multiple of 171,963,855,747,378 is 318916710.
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.
171 x 963 x 855 x 747 x 378 = 39755838151890
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.
171 : 1, 3, 9, 19, 57, 171
963 : 1, 3, 9, 107, 321, 963
855 : 1, 3, 5, 9, 15, 19, 45, 57, 95, 171, 285, 855
747 : 1, 3, 9, 83, 249, 747
378 : 1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378
9 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 171,963,855,747,378, is 9.
Now, the common factors can be found like this.
171:3x 3x 19
963:3x 3x 107
855:3x 3x 5x 19
747:3x 3x 83
378:2x 3x 3x 3x 7
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 3x 3x 3x 3x 3x 19 = 13851
Therefore, the value for common factors is 13851.
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 = 39755838151890/(9x13851)
LCM = 39755838151890/124659
LCM = 318916710
Thus, we can understand that the LCM of 171,963,855,747,378 is 318916710.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 171, 963, 855, 747, 378
1. What is the LCM of 171, 963, 855, 747, 378?
Answer: LCM of 171, 963, 855, 747, 378 is 318916710.
2. How to calculate the LCM of 171, 963, 855, 747, 378?
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 171, 963, 855, 747, 378.
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}.