Find the LCM of 580, 812, 547, 580, 147 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 580, 812, 547, 580, 147. So, keep reading to learn more.
Given numbers are 580,812,547,580,147
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 580,812,547,580,147 is 46637220.
Find LCM of 580,812,547,580,147 with Prime Factorization
2 | 580, 812, 547, 580, 147 |
2 | 290, 406, 547, 290, 147 |
5 | 145, 203, 547, 145, 147 |
7 | 29, 203, 547, 29, 147 |
29 | 29, 29, 547, 29, 21 |
1, 1, 547, 1, 21 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 5 x 7 x 29 x 1 x 1 x 547 x 1 x 21 = 46637220
Therefore, the lowest common multiple of 580,812,547,580,147 is 46637220.
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.
580 x 812 x 547 x 580 x 147 = 21964265131200
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.
580 : 1, 2, 4, 5, 10, 20, 29, 58, 116, 145, 290, 580
812 : 1, 2, 4, 7, 14, 28, 29, 58, 116, 203, 406, 812
547 : 1, 547
580 : 1, 2, 4, 5, 10, 20, 29, 58, 116, 145, 290, 580
147 : 1, 3, 7, 21, 49, 147
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 580,812,547,580,147, is 1.
Now, the common factors can be found like this.
580:2x 2x 5x 29
812:2x 2x 7x 29
547:547
580:2x 2x 5x 29
147:3x 7x 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 5x 7x 29x 29 = 470960
Therefore, the value for common factors is 470960.
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 = 21964265131200/(1x470960)
LCM = 21964265131200/470960
LCM = 46637220
Thus, we can understand that the LCM of 580,812,547,580,147 is 46637220.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 580, 812, 547, 580, 147?
Answer: LCM of 580, 812, 547, 580, 147 is 46637220.
2. How to calculate the LCM of 580, 812, 547, 580, 147?
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 580, 812, 547, 580, 147.
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}.