LCM of 315, 338, 639, 420
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 315, 338, 639, 420 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 315, 338, 639, 420. So, keep reading to learn more.
Given numbers are 315,338,639,420
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 315,338,639,420 is 15118740.
Find LCM of 315,338,639,420 with Prime Factorization
| 2 | 315, 338, 639, 420 |
| 3 | 315, 169, 639, 210 |
| 3 | 105, 169, 213, 70 |
| 5 | 35, 169, 71, 70 |
| 7 | 7, 169, 71, 14 |
| 1, 169, 71, 2 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 5 x 7 x 1 x 169 x 71 x 2 = 15118740
Therefore, the lowest common multiple of 315,338,639,420 is 15118740.
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.
315 x 338 x 639 x 420 = 28574418600
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.
315 : 1, 3, 5, 7, 9, 15, 21, 35, 45, 63, 105, 315
338 : 1, 2, 13, 26, 169, 338
639 : 1, 3, 9, 71, 213, 639
420 : 1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 315,338,639,420, is 1.
Now, the common factors can be found like this.
315:3x 3x 5x 7
338:2x 13x 13
639:3x 3x 71
420:2x 2x 3x 5x 7
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 3x 3x 5x 7 = 1890
Therefore, the value for common factors is 1890.
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 = 28574418600/(1x1890)
LCM = 28574418600/1890
LCM = 15118740
Thus, we can understand that the LCM of 315,338,639,420 is 15118740.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 315, 338, 639, 420
1. What is the LCM of 315, 338, 639, 420?
Answer: LCM of 315, 338, 639, 420 is 15118740.
2. How to calculate the LCM of 315, 338, 639, 420?
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 315, 338, 639, 420.
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}.