Find the LCM of 420, 908, 144, 936 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, 908, 144, 936. So, keep reading to learn more.
Given numbers are 420,908,144,936
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 420,908,144,936 is 14873040.
Find LCM of 420,908,144,936 with Prime Factorization
2 | 420, 908, 144, 936 |
2 | 210, 454, 72, 468 |
2 | 105, 227, 36, 234 |
3 | 105, 227, 18, 117 |
3 | 35, 227, 6, 39 |
35, 227, 2, 13 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 3 x 35 x 227 x 2 x 13 = 14873040
Therefore, the lowest common multiple of 420,908,144,936 is 14873040.
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 908 x 144 x 936 = 51401226240
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
908 : 1, 2, 4, 227, 454, 908
144 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144
936 : 1, 2, 3, 4, 6, 8, 9, 12, 13, 18, 24, 26, 36, 39, 52, 72, 78, 104, 117, 156, 234, 312, 468, 936
4 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 420,908,144,936, is 4.
Now, the common factors can be found like this.
420:2x 2x 3x 5x 7
908:2x 2x 227
144:2x 2x 2x 2x 3x 3
936:2x 2x 2x 3x 3x 13
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 2x 3x 3x 3 = 864
Therefore, the value for common factors is 864.
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 = 51401226240/(4x864)
LCM = 51401226240/3456
LCM = 14873040
Thus, we can understand that the LCM of 420,908,144,936 is 14873040.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 420, 908, 144, 936?
Answer: LCM of 420, 908, 144, 936 is 14873040.
2. How to calculate the LCM of 420, 908, 144, 936?
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, 908, 144, 936.
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}.