Find the LCM of 420, 840, 872, 504 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, 840, 872, 504. So, keep reading to learn more.
Given numbers are 420,840,872,504
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 420,840,872,504 is 274680.
Find LCM of 420,840,872,504 with Prime Factorization
2 | 420, 840, 872, 504 |
2 | 210, 420, 436, 252 |
2 | 105, 210, 218, 126 |
3 | 105, 105, 109, 63 |
5 | 35, 35, 109, 21 |
7 | 7, 7, 109, 21 |
1, 1, 109, 3 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 5 x 7 x 1 x 1 x 109 x 3 = 274680
Therefore, the lowest common multiple of 420,840,872,504 is 274680.
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 840 x 872 x 504 = 155051366400
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
840 : 1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 20, 21, 24, 28, 30, 35, 40, 42, 56, 60, 70, 84, 105, 120, 140, 168, 210, 280, 420, 840
872 : 1, 2, 4, 8, 109, 218, 436, 872
504 : 1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 28, 36, 42, 56, 63, 72, 84, 126, 168, 252, 504
4 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 420,840,872,504, is 4.
Now, the common factors can be found like this.
420:2x 2x 3x 5x 7
840:2x 2x 2x 3x 5x 7
872:2x 2x 2x 109
504:2x 2x 2x 3x 3x 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 2x 2x 2x 2x 2x 3x 3x 5x 7x 7 = 141120
Therefore, the value for common factors is 141120.
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 = 155051366400/(4x141120)
LCM = 155051366400/564480
LCM = 274680
Thus, we can understand that the LCM of 420,840,872,504 is 274680.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 420, 840, 872, 504?
Answer: LCM of 420, 840, 872, 504 is 274680.
2. How to calculate the LCM of 420, 840, 872, 504?
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, 840, 872, 504.
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}.