Find the LCM of 876, 734, 803, 173 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 876, 734, 803, 173. So, keep reading to learn more.
Given numbers are 876,734,803,173
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 876,734,803,173 is 611799276.
Find LCM of 876,734,803,173 with Prime Factorization
2 | 876, 734, 803, 173 |
73 | 438, 367, 803, 173 |
6, 367, 11, 173 |
Multiply the prime numbers at the bottom and the left side.
2 x 73 x 6 x 367 x 11 x 173 = 611799276
Therefore, the lowest common multiple of 876,734,803,173 is 611799276.
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.
876 x 734 x 803 x 173 = 89322694296
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.
876 : 1, 2, 3, 4, 6, 12, 73, 146, 219, 292, 438, 876
734 : 1, 2, 367, 734
803 : 1, 11, 73, 803
173 : 1, 173
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 876,734,803,173, is 1.
Now, the common factors can be found like this.
876:2x 2x 3x 73
734:2x 367
803:11x 73
173:173
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 73 = 146
Therefore, the value for common factors is 146.
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 = 89322694296/(1x146)
LCM = 89322694296/146
LCM = 611799276
Thus, we can understand that the LCM of 876,734,803,173 is 611799276.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 876, 734, 803, 173?
Answer: LCM of 876, 734, 803, 173 is 611799276.
2. How to calculate the LCM of 876, 734, 803, 173?
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 876, 734, 803, 173.
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}.