Find the LCM of 803, 125, 253, 462 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, 125, 253, 462. So, keep reading to learn more.
Given numbers are 803,125,253,462
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 803,125,253,462 is 96962250.
Find LCM of 803,125,253,462 with Prime Factorization
11 | 803, 125, 253, 462 |
73, 125, 23, 42 |
Multiply the prime numbers at the bottom and the left side.
11 x 73 x 125 x 23 x 42 = 96962250
Therefore, the lowest common multiple of 803,125,253,462 is 96962250.
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 125 x 253 x 462 = 11732432250
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
125 : 1, 5, 25, 125
253 : 1, 11, 23, 253
462 : 1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 154, 231, 462
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 803,125,253,462, is 1.
Now, the common factors can be found like this.
803:11x 73
125:5x 5x 5
253:11x 23
462:2x 3x 7x 11
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
11x 11 = 121
Therefore, the value for common factors is 121.
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 = 11732432250/(1x121)
LCM = 11732432250/121
LCM = 96962250
Thus, we can understand that the LCM of 803,125,253,462 is 96962250.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 803, 125, 253, 462?
Answer: LCM of 803, 125, 253, 462 is 96962250.
2. How to calculate the LCM of 803, 125, 253, 462?
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, 125, 253, 462.
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}.