Find the LCM of 869, 763, 462, 573 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 869, 763, 462, 573. So, keep reading to learn more.
Given numbers are 869,763,462,573
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 869,763,462,573 is 759851862.
Find LCM of 869,763,462,573 with Prime Factorization
3 | 869, 763, 462, 573 |
7 | 869, 763, 154, 191 |
11 | 869, 109, 22, 191 |
79, 109, 2, 191 |
Multiply the prime numbers at the bottom and the left side.
3 x 7 x 11 x 79 x 109 x 2 x 191 = 759851862
Therefore, the lowest common multiple of 869,763,462,573 is 759851862.
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.
869 x 763 x 462 x 573 = 175525780122
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.
869 : 1, 11, 79, 869
763 : 1, 7, 109, 763
462 : 1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 154, 231, 462
573 : 1, 3, 191, 573
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 869,763,462,573, is 1.
Now, the common factors can be found like this.
869:11x 79
763:7x 109
462:2x 3x 7x 11
573:3x 191
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 7x 11 = 231
Therefore, the value for common factors is 231.
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 = 175525780122/(1x231)
LCM = 175525780122/231
LCM = 759851862
Thus, we can understand that the LCM of 869,763,462,573 is 759851862.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 869, 763, 462, 573?
Answer: LCM of 869, 763, 462, 573 is 759851862.
2. How to calculate the LCM of 869, 763, 462, 573?
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 869, 763, 462, 573.
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}.