LCM of 604, 228, 899, 682
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 604, 228, 899, 682 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 604, 228, 899, 682. So, keep reading to learn more.
Given numbers are 604,228,899,682
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 604,228,899,682 is 340458492.
Find LCM of 604,228,899,682 with Prime Factorization
| 2 | 604, 228, 899, 682 |
| 2 | 302, 114, 899, 341 |
| 31 | 151, 57, 899, 341 |
| 151, 57, 29, 11 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 31 x 151 x 57 x 29 x 11 = 340458492
Therefore, the lowest common multiple of 604,228,899,682 is 340458492.
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.
604 x 228 x 899 x 682 = 84433706016
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.
604 : 1, 2, 4, 151, 302, 604
228 : 1, 2, 3, 4, 6, 12, 19, 38, 57, 76, 114, 228
899 : 1, 29, 31, 899
682 : 1, 2, 11, 22, 31, 62, 341, 682
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 604,228,899,682, is 1.
Now, the common factors can be found like this.
604:2x 2x 151
228:2x 2x 3x 19
899:29x 31
682:2x 11x 31
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 31 = 248
Therefore, the value for common factors is 248.
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 = 84433706016/(1x248)
LCM = 84433706016/248
LCM = 340458492
Thus, we can understand that the LCM of 604,228,899,682 is 340458492.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 604, 228, 899, 682
1. What is the LCM of 604, 228, 899, 682?
Answer: LCM of 604, 228, 899, 682 is 340458492.
2. How to calculate the LCM of 604, 228, 899, 682?
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 604, 228, 899, 682.
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}.