Find the LCM of 479, 273, 462, 714, 804 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 479, 273, 462, 714, 804. So, keep reading to learn more.
Given numbers are 479,273,462,714,804
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 479,273,462,714,804 is 6553518972.
Find LCM of 479,273,462,714,804 with Prime Factorization
2 | 479, 273, 462, 714, 804 |
3 | 479, 273, 231, 357, 402 |
7 | 479, 91, 77, 119, 134 |
479, 13, 11, 17, 134 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 7 x 479 x 13 x 11 x 17 x 134 = 6553518972
Therefore, the lowest common multiple of 479,273,462,714,804 is 6553518972.
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.
479 x 273 x 462 x 714 x 804 = 34681222399824
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.
479 : 1, 479
273 : 1, 3, 7, 13, 21, 39, 91, 273
462 : 1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 154, 231, 462
714 : 1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714
804 : 1, 2, 3, 4, 6, 12, 67, 134, 201, 268, 402, 804
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 479,273,462,714,804, is 1.
Now, the common factors can be found like this.
479:479
273:3x 7x 13
462:2x 3x 7x 11
714:2x 3x 7x 17
804:2x 2x 3x 67
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 3x 3x 3x 7x 7 = 5292
Therefore, the value for common factors is 5292.
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 = 34681222399824/(1x5292)
LCM = 34681222399824/5292
LCM = 6553518972
Thus, we can understand that the LCM of 479,273,462,714,804 is 6553518972.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 479, 273, 462, 714, 804?
Answer: LCM of 479, 273, 462, 714, 804 is 6553518972.
2. How to calculate the LCM of 479, 273, 462, 714, 804?
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 479, 273, 462, 714, 804.
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}.