LCM of 390, 548, 210, 380
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 390, 548, 210, 380 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 390, 548, 210, 380. So, keep reading to learn more.
Given numbers are 390,548,210,380
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 390,548,210,380 is 14212380.
Find LCM of 390,548,210,380 with Prime Factorization
| 2 | 390, 548, 210, 380 |
| 2 | 195, 274, 105, 190 |
| 3 | 195, 137, 105, 95 |
| 5 | 65, 137, 35, 95 |
| 13, 137, 7, 19 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 5 x 13 x 137 x 7 x 19 = 14212380
Therefore, the lowest common multiple of 390,548,210,380 is 14212380.
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.
390 x 548 x 210 x 380 = 17054856000
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.
390 : 1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 195, 390
548 : 1, 2, 4, 137, 274, 548
210 : 1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, 210
380 : 1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 190, 380
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 390,548,210,380, is 2.
Now, the common factors can be found like this.
390:2x 3x 5x 13
548:2x 2x 137
210:2x 3x 5x 7
380:2x 2x 5x 19
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 5x 5 = 600
Therefore, the value for common factors is 600.
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 = 17054856000/(2x600)
LCM = 17054856000/1200
LCM = 14212380
Thus, we can understand that the LCM of 390,548,210,380 is 14212380.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 390, 548, 210, 380
1. What is the LCM of 390, 548, 210, 380?
Answer: LCM of 390, 548, 210, 380 is 14212380.
2. How to calculate the LCM of 390, 548, 210, 380?
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 390, 548, 210, 380.
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}.