Find the LCM of 803, 803, 791, 967, 577 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 803, 803, 791, 967, 577. So, keep reading to learn more.
Given numbers are 803,803,791,967,577
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 803,803,791,967,577 is 354400491907.
Find LCM of 803,803,791,967,577 with Prime Factorization
11 | 803, 803, 791, 967, 577 |
73 | 73, 73, 791, 967, 577 |
1, 1, 791, 967, 577 |
Multiply the prime numbers at the bottom and the left side.
11 x 73 x 1 x 1 x 791 x 967 x 577 = 354400491907
Therefore, the lowest common multiple of 803,803,791,967,577 is 354400491907.
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.
803 x 803 x 791 x 967 x 577 = 284583595001321
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.
803 : 1, 11, 73, 803
803 : 1, 11, 73, 803
791 : 1, 7, 113, 791
967 : 1, 967
577 : 1, 577
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 803,803,791,967,577, is 1.
Now, the common factors can be found like this.
803:11x 73
803:11x 73
791:7x 113
967:967
577:577
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
11x 73 = 803
Therefore, the value for common factors is 803.
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 = 284583595001321/(1x803)
LCM = 284583595001321/803
LCM = 354400491907
Thus, we can understand that the LCM of 803,803,791,967,577 is 354400491907.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 803, 803, 791, 967, 577?
Answer: LCM of 803, 803, 791, 967, 577 is 354400491907.
2. How to calculate the LCM of 803, 803, 791, 967, 577?
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 803, 803, 791, 967, 577.
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}.