LCM of 676, 654, 962, 422
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 676, 654, 962, 422 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, 654, 962, 422. So, keep reading to learn more.
Given numbers are 676,654,962,422
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 676,654,962,422 is 1725752964.
Find LCM of 676,654,962,422 with Prime Factorization
| 2 | 676, 654, 962, 422 |
| 13 | 338, 327, 481, 211 |
| 26, 327, 37, 211 |
Multiply the prime numbers at the bottom and the left side.
2 x 13 x 26 x 327 x 37 x 211 = 1725752964
Therefore, the lowest common multiple of 676,654,962,422 is 1725752964.
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 654 x 962 x 422 = 179478308256
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
654 : 1, 2, 3, 6, 109, 218, 327, 654
962 : 1, 2, 13, 26, 37, 74, 481, 962
422 : 1, 2, 211, 422
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 676,654,962,422, is 2.
Now, the common factors can be found like this.
676:2x 2x 13x 13
654:2x 3x 109
962:2x 13x 37
422:2x 211
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 13 = 52
Therefore, the value for common factors is 52.
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 = 179478308256/(2x52)
LCM = 179478308256/104
LCM = 1725752964
Thus, we can understand that the LCM of 676,654,962,422 is 1725752964.
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, 654, 962, 422
1. What is the LCM of 676, 654, 962, 422?
Answer: LCM of 676, 654, 962, 422 is 1725752964.
2. How to calculate the LCM of 676, 654, 962, 422?
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, 654, 962, 422.
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}.