Find the LCM of 486, 420, 909, 924, 407 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 486, 420, 909, 924, 407. So, keep reading to learn more.
Given numbers are 486,420,909,924,407
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 486,420,909,924,407 is 1398460140.
Find LCM of 486,420,909,924,407 with Prime Factorization
2 | 486, 420, 909, 924, 407 |
2 | 243, 210, 909, 462, 407 |
3 | 243, 105, 909, 231, 407 |
3 | 81, 35, 303, 77, 407 |
7 | 27, 35, 101, 77, 407 |
11 | 27, 5, 101, 11, 407 |
27, 5, 101, 1, 37 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 7 x 11 x 27 x 5 x 101 x 1 x 37 = 1398460140
Therefore, the lowest common multiple of 486,420,909,924,407 is 1398460140.
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.
486 x 420 x 909 x 924 x 407 = 69777567145440
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.
486 : 1, 2, 3, 6, 9, 18, 27, 54, 81, 162, 243, 486
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
909 : 1, 3, 9, 101, 303, 909
924 : 1, 2, 3, 4, 6, 7, 11, 12, 14, 21, 22, 28, 33, 42, 44, 66, 77, 84, 132, 154, 231, 308, 462, 924
407 : 1, 11, 37, 407
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 486,420,909,924,407, is 1.
Now, the common factors can be found like this.
486:2x 3x 3x 3x 3x 3
420:2x 2x 3x 5x 7
909:3x 3x 101
924:2x 2x 3x 7x 11
407:11x 37
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 3x 3x 3x 7x 11 = 49896
Therefore, the value for common factors is 49896.
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 = 69777567145440/(1x49896)
LCM = 69777567145440/49896
LCM = 1398460140
Thus, we can understand that the LCM of 486,420,909,924,407 is 1398460140.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 486, 420, 909, 924, 407?
Answer: LCM of 486, 420, 909, 924, 407 is 1398460140.
2. How to calculate the LCM of 486, 420, 909, 924, 407?
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 486, 420, 909, 924, 407.
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}.