Find the LCM of 490, 477, 831, 225, 786 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 490, 477, 831, 225, 786. So, keep reading to learn more.
Given numbers are 490,477,831,225,786
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 490,477,831,225,786 is 42406802550.
Find LCM of 490,477,831,225,786 with Prime Factorization
2 | 490, 477, 831, 225, 786 |
3 | 245, 477, 831, 225, 393 |
3 | 245, 159, 277, 75, 131 |
5 | 245, 53, 277, 25, 131 |
49, 53, 277, 5, 131 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 5 x 49 x 53 x 277 x 5 x 131 = 42406802550
Therefore, the lowest common multiple of 490,477,831,225,786 is 42406802550.
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.
490 x 477 x 831 x 225 x 786 = 34349510065500
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.
490 : 1, 2, 5, 7, 10, 14, 35, 49, 70, 98, 245, 490
477 : 1, 3, 9, 53, 159, 477
831 : 1, 3, 277, 831
225 : 1, 3, 5, 9, 15, 25, 45, 75, 225
786 : 1, 2, 3, 6, 131, 262, 393, 786
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 490,477,831,225,786, is 1.
Now, the common factors can be found like this.
490:2x 5x 7x 7
477:3x 3x 53
831:3x 277
225:3x 3x 5x 5
786:2x 3x 131
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 3x 3x 3x 5 = 810
Therefore, the value for common factors is 810.
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 = 34349510065500/(1x810)
LCM = 34349510065500/810
LCM = 42406802550
Thus, we can understand that the LCM of 490,477,831,225,786 is 42406802550.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 490, 477, 831, 225, 786?
Answer: LCM of 490, 477, 831, 225, 786 is 42406802550.
2. How to calculate the LCM of 490, 477, 831, 225, 786?
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 490, 477, 831, 225, 786.
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}.