LCM of 304, 380, 597, 628
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 304, 380, 597, 628 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 304, 380, 597, 628. So, keep reading to learn more.
Given numbers are 304,380,597,628
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 304,380,597,628 is 142468080.
Find LCM of 304,380,597,628 with Prime Factorization
| 2 | 304, 380, 597, 628 |
| 2 | 152, 190, 597, 314 |
| 19 | 76, 95, 597, 157 |
| 4, 5, 597, 157 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 19 x 4 x 5 x 597 x 157 = 142468080
Therefore, the lowest common multiple of 304,380,597,628 is 142468080.
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.
304 x 380 x 597 x 628 = 43310296320
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.
304 : 1, 2, 4, 8, 16, 19, 38, 76, 152, 304
380 : 1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 190, 380
597 : 1, 3, 199, 597
628 : 1, 2, 4, 157, 314, 628
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 304,380,597,628, is 1.
Now, the common factors can be found like this.
304:2x 2x 2x 2x 19
380:2x 2x 5x 19
597:3x 199
628:2x 2x 157
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 19 = 304
Therefore, the value for common factors is 304.
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 = 43310296320/(1x304)
LCM = 43310296320/304
LCM = 142468080
Thus, we can understand that the LCM of 304,380,597,628 is 142468080.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 304, 380, 597, 628
1. What is the LCM of 304, 380, 597, 628?
Answer: LCM of 304, 380, 597, 628 is 142468080.
2. How to calculate the LCM of 304, 380, 597, 628?
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 304, 380, 597, 628.
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}.