Find the LCM of 814, 126, 953, 187, 817 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 814, 126, 953, 187, 817. So, keep reading to learn more.
Given numbers are 814,126,953,187,817
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 814,126,953,187,817 is 678779680194.
Find LCM of 814,126,953,187,817 with Prime Factorization
2 | 814, 126, 953, 187, 817 |
11 | 407, 63, 953, 187, 817 |
37, 63, 953, 17, 817 |
Multiply the prime numbers at the bottom and the left side.
2 x 11 x 37 x 63 x 953 x 17 x 817 = 678779680194
Therefore, the lowest common multiple of 814,126,953,187,817 is 678779680194.
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.
814 x 126 x 953 x 187 x 817 = 14933152964268
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.
814 : 1, 2, 11, 22, 37, 74, 407, 814
126 : 1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126
953 : 1, 953
187 : 1, 11, 17, 187
817 : 1, 19, 43, 817
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 814,126,953,187,817, is 1.
Now, the common factors can be found like this.
814:2x 11x 37
126:2x 3x 3x 7
953:953
187:11x 17
817:19x 43
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 11 = 22
Therefore, the value for common factors is 22.
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 = 14933152964268/(1x22)
LCM = 14933152964268/22
LCM = 678779680194
Thus, we can understand that the LCM of 814,126,953,187,817 is 678779680194.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 814, 126, 953, 187, 817?
Answer: LCM of 814, 126, 953, 187, 817 is 678779680194.
2. How to calculate the LCM of 814, 126, 953, 187, 817?
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 814, 126, 953, 187, 817.
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}.