LCM of 604, 321, 138, 460
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 604, 321, 138, 460 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, 321, 138, 460. So, keep reading to learn more.
Given numbers are 604,321,138,460
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 604,321,138,460 is 22296660.
Find LCM of 604,321,138,460 with Prime Factorization
| 2 | 604, 321, 138, 460 |
| 2 | 302, 321, 69, 230 |
| 3 | 151, 321, 69, 115 |
| 23 | 151, 107, 23, 115 |
| 151, 107, 1, 5 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 23 x 151 x 107 x 1 x 5 = 22296660
Therefore, the lowest common multiple of 604,321,138,460 is 22296660.
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 321 x 138 x 460 = 12307756320
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
321 : 1, 3, 107, 321
138 : 1, 2, 3, 6, 23, 46, 69, 138
460 : 1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 604,321,138,460, is 1.
Now, the common factors can be found like this.
604:2x 2x 151
321:3x 107
138:2x 3x 23
460:2x 2x 5x 23
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 3x 23 = 552
Therefore, the value for common factors is 552.
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 = 12307756320/(1x552)
LCM = 12307756320/552
LCM = 22296660
Thus, we can understand that the LCM of 604,321,138,460 is 22296660.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 604, 321, 138, 460
1. What is the LCM of 604, 321, 138, 460?
Answer: LCM of 604, 321, 138, 460 is 22296660.
2. How to calculate the LCM of 604, 321, 138, 460?
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, 321, 138, 460.
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}.