Find the LCM of 792, 511, 803, 914, 473 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 792, 511, 803, 914, 473. So, keep reading to learn more.
Given numbers are 792,511,803,914,473
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 792,511,803,914,473 is 7952995512.
Find LCM of 792,511,803,914,473 with Prime Factorization
2 | 792, 511, 803, 914, 473 |
11 | 396, 511, 803, 457, 473 |
73 | 36, 511, 73, 457, 43 |
36, 7, 1, 457, 43 |
Multiply the prime numbers at the bottom and the left side.
2 x 11 x 73 x 36 x 7 x 1 x 457 x 43 = 7952995512
Therefore, the lowest common multiple of 792,511,803,914,473 is 7952995512.
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.
792 x 511 x 803 x 914 x 473 = 140497618714992
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.
792 : 1, 2, 3, 4, 6, 8, 9, 11, 12, 18, 22, 24, 33, 36, 44, 66, 72, 88, 99, 132, 198, 264, 396, 792
511 : 1, 7, 73, 511
803 : 1, 11, 73, 803
914 : 1, 2, 457, 914
473 : 1, 11, 43, 473
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 792,511,803,914,473, is 1.
Now, the common factors can be found like this.
792:2x 2x 2x 3x 3x 11
511:7x 73
803:11x 73
914:2x 457
473:11x 43
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 11x 11x 73 = 17666
Therefore, the value for common factors is 17666.
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 = 140497618714992/(1x17666)
LCM = 140497618714992/17666
LCM = 7952995512
Thus, we can understand that the LCM of 792,511,803,914,473 is 7952995512.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 792, 511, 803, 914, 473?
Answer: LCM of 792, 511, 803, 914, 473 is 7952995512.
2. How to calculate the LCM of 792, 511, 803, 914, 473?
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 792, 511, 803, 914, 473.
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}.