Find the LCM of 503, 456, 687, 166 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 503, 456, 687, 166. So, keep reading to learn more.
Given numbers are 503,456,687,166
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 503,456,687,166 is 4359597576.
Find LCM of 503,456,687,166 with Prime Factorization
2 | 503, 456, 687, 166 |
3 | 503, 228, 687, 83 |
503, 76, 229, 83 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 503 x 76 x 229 x 83 = 4359597576
Therefore, the lowest common multiple of 503,456,687,166 is 4359597576.
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.
503 x 456 x 687 x 166 = 26157585456
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.
503 : 1, 503
456 : 1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456
687 : 1, 3, 229, 687
166 : 1, 2, 83, 166
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 503,456,687,166, is 1.
Now, the common factors can be found like this.
503:503
456:2x 2x 2x 3x 19
687:3x 229
166:2x 83
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3 = 6
Therefore, the value for common factors is 6.
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 = 26157585456/(1x6)
LCM = 26157585456/6
LCM = 4359597576
Thus, we can understand that the LCM of 503,456,687,166 is 4359597576.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 503, 456, 687, 166?
Answer: LCM of 503, 456, 687, 166 is 4359597576.
2. How to calculate the LCM of 503, 456, 687, 166?
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 503, 456, 687, 166.
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}.