LCM of 676, 192, 465, 204, 692
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 676, 192, 465, 204, 692 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 676, 192, 465, 204, 692. So, keep reading to learn more.
Given numbers are 676,192,465,204,692
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 676,192,465,204,692 is 14791583040.
Find LCM of 676,192,465,204,692 with Prime Factorization
| 2 | 676, 192, 465, 204, 692 |
| 2 | 338, 96, 465, 102, 346 |
| 3 | 169, 48, 465, 51, 173 |
| 169, 16, 155, 17, 173 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 169 x 16 x 155 x 17 x 173 = 14791583040
Therefore, the lowest common multiple of 676,192,465,204,692 is 14791583040.
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.
676 x 192 x 465 x 204 x 692 = 8519951831040
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.
676 : 1, 2, 4, 13, 26, 52, 169, 338, 676
192 : 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 192
465 : 1, 3, 5, 15, 31, 93, 155, 465
204 : 1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 204
692 : 1, 2, 4, 173, 346, 692
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 676,192,465,204,692, is 1.
Now, the common factors can be found like this.
676:2x 2x 13x 13
192:2x 2x 2x 2x 2x 2x 3
465:3x 5x 31
204:2x 2x 3x 17
692:2x 2x 173
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 2x 3x 3 = 576
Therefore, the value for common factors is 576.
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 = 8519951831040/(1x576)
LCM = 8519951831040/576
LCM = 14791583040
Thus, we can understand that the LCM of 676,192,465,204,692 is 14791583040.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 676, 192, 465, 204, 692
1. What is the LCM of 676, 192, 465, 204, 692?
Answer: LCM of 676, 192, 465, 204, 692 is 14791583040.
2. How to calculate the LCM of 676, 192, 465, 204, 692?
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 676, 192, 465, 204, 692.
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}.