LCM of 676, 546, 208, 466, 522
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 676, 546, 208, 466, 522 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, 546, 208, 466, 522. So, keep reading to learn more.
Given numbers are 676,546,208,466,522
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 676,546,208,466,522 is 1151068464.
Find LCM of 676,546,208,466,522 with Prime Factorization
| 2 | 676, 546, 208, 466, 522 |
| 2 | 338, 273, 104, 233, 261 |
| 3 | 169, 273, 52, 233, 261 |
| 13 | 169, 91, 52, 233, 87 |
| 13, 7, 4, 233, 87 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 13 x 13 x 7 x 4 x 233 x 87 = 1151068464
Therefore, the lowest common multiple of 676,546,208,466,522 is 1151068464.
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 546 x 208 x 466 x 522 = 18674934759936
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
546 : 1, 2, 3, 6, 7, 13, 14, 21, 26, 39, 42, 78, 91, 182, 273, 546
208 : 1, 2, 4, 8, 13, 16, 26, 52, 104, 208
466 : 1, 2, 233, 466
522 : 1, 2, 3, 6, 9, 18, 29, 58, 87, 174, 261, 522
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 676,546,208,466,522, is 2.
Now, the common factors can be found like this.
676:2x 2x 13x 13
546:2x 3x 7x 13
208:2x 2x 2x 2x 13
466:2x 233
522:2x 3x 3x 29
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 3x 13x 13 = 8112
Therefore, the value for common factors is 8112.
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 = 18674934759936/(2x8112)
LCM = 18674934759936/16224
LCM = 1151068464
Thus, we can understand that the LCM of 676,546,208,466,522 is 1151068464.
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, 546, 208, 466, 522
1. What is the LCM of 676, 546, 208, 466, 522?
Answer: LCM of 676, 546, 208, 466, 522 is 1151068464.
2. How to calculate the LCM of 676, 546, 208, 466, 522?
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, 546, 208, 466, 522.
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}.