Find the LCM of 420, 542, 684, 180 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 420, 542, 684, 180. So, keep reading to learn more.
Given numbers are 420,542,684,180
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 420,542,684,180 is 6487740.
Find LCM of 420,542,684,180 with Prime Factorization
2 | 420, 542, 684, 180 |
2 | 210, 271, 342, 90 |
3 | 105, 271, 171, 45 |
3 | 35, 271, 57, 15 |
5 | 35, 271, 19, 5 |
7, 271, 19, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 5 x 7 x 271 x 19 x 1 = 6487740
Therefore, the lowest common multiple of 420,542,684,180 is 6487740.
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.
420 x 542 x 684 x 180 = 28027036800
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.
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
542 : 1, 2, 271, 542
684 : 1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684
180 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 420,542,684,180, is 2.
Now, the common factors can be found like this.
420:2x 2x 3x 5x 7
542:2x 271
684:2x 2x 3x 3x 19
180:2x 2x 3x 3x 5
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 3x 3x 3x 5 = 2160
Therefore, the value for common factors is 2160.
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 = 28027036800/(2x2160)
LCM = 28027036800/4320
LCM = 6487740
Thus, we can understand that the LCM of 420,542,684,180 is 6487740.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 420, 542, 684, 180?
Answer: LCM of 420, 542, 684, 180 is 6487740.
2. How to calculate the LCM of 420, 542, 684, 180?
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 420, 542, 684, 180.
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}.