Find the LCM of 420, 920, 585, 350, 149 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, 920, 585, 350, 149. So, keep reading to learn more.
Given numbers are 420,920,585,350,149
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 420,920,585,350,149 is 561342600.
Find LCM of 420,920,585,350,149 with Prime Factorization
2 | 420, 920, 585, 350, 149 |
2 | 210, 460, 585, 175, 149 |
3 | 105, 230, 585, 175, 149 |
5 | 35, 230, 195, 175, 149 |
7 | 7, 46, 39, 35, 149 |
1, 46, 39, 5, 149 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 5 x 7 x 1 x 46 x 39 x 5 x 149 = 561342600
Therefore, the lowest common multiple of 420,920,585,350,149 is 561342600.
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 920 x 585 x 350 x 149 = 11788194600000
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
920 : 1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920
585 : 1, 3, 5, 9, 13, 15, 39, 45, 65, 117, 195, 585
350 : 1, 2, 5, 7, 10, 14, 25, 35, 50, 70, 175, 350
149 : 1, 149
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 420,920,585,350,149, is 1.
Now, the common factors can be found like this.
420:2x 2x 3x 5x 7
920:2x 2x 2x 5x 23
585:3x 3x 5x 13
350:2x 5x 5x 7
149:149
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 5x 5x 7 = 21000
Therefore, the value for common factors is 21000.
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 = 11788194600000/(1x21000)
LCM = 11788194600000/21000
LCM = 561342600
Thus, we can understand that the LCM of 420,920,585,350,149 is 561342600.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 420, 920, 585, 350, 149?
Answer: LCM of 420, 920, 585, 350, 149 is 561342600.
2. How to calculate the LCM of 420, 920, 585, 350, 149?
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, 920, 585, 350, 149.
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}.