LCM of 377, 623, 614, 561, 178
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 377, 623, 614, 561, 178 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 377, 623, 614, 561, 178. So, keep reading to learn more.
Given numbers are 377,623,614,561,178
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 377,623,614,561,178 is 80902255434.
Find LCM of 377,623,614,561,178 with Prime Factorization
| 2 | 377, 623, 614, 561, 178 |
| 89 | 377, 623, 307, 561, 89 |
| 377, 7, 307, 561, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 89 x 377 x 7 x 307 x 561 x 1 = 80902255434
Therefore, the lowest common multiple of 377,623,614,561,178 is 80902255434.
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.
377 x 623 x 614 x 561 x 178 = 14400601467252
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.
377 : 1, 13, 29, 377
623 : 1, 7, 89, 623
614 : 1, 2, 307, 614
561 : 1, 3, 11, 17, 33, 51, 187, 561
178 : 1, 2, 89, 178
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 377,623,614,561,178, is 1.
Now, the common factors can be found like this.
377:13x 29
623:7x 89
614:2x 307
561:3x 11x 17
178:2x 89
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 89 = 178
Therefore, the value for common factors is 178.
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 = 14400601467252/(1x178)
LCM = 14400601467252/178
LCM = 80902255434
Thus, we can understand that the LCM of 377,623,614,561,178 is 80902255434.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 377, 623, 614, 561, 178
1. What is the LCM of 377, 623, 614, 561, 178?
Answer: LCM of 377, 623, 614, 561, 178 is 80902255434.
2. How to calculate the LCM of 377, 623, 614, 561, 178?
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 377, 623, 614, 561, 178.
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}.