Find the LCM of 814, 649, 127, 354, 536 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, 649, 127, 354, 536. So, keep reading to learn more.
Given numbers are 814,649,127,354,536
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 814,649,127,354,536 is 4903838808.
Find LCM of 814,649,127,354,536 with Prime Factorization
2 | 814, 649, 127, 354, 536 |
11 | 407, 649, 127, 177, 268 |
59 | 37, 59, 127, 177, 268 |
37, 1, 127, 3, 268 |
Multiply the prime numbers at the bottom and the left side.
2 x 11 x 59 x 37 x 1 x 127 x 3 x 268 = 4903838808
Therefore, the lowest common multiple of 814,649,127,354,536 is 4903838808.
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 649 x 127 x 354 x 536 = 12730365545568
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
649 : 1, 11, 59, 649
127 : 1, 127
354 : 1, 2, 3, 6, 59, 118, 177, 354
536 : 1, 2, 4, 8, 67, 134, 268, 536
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 814,649,127,354,536, is 1.
Now, the common factors can be found like this.
814:2x 11x 37
649:11x 59
127:127
354:2x 3x 59
536:2x 2x 2x 67
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 2x 11x 59 = 2596
Therefore, the value for common factors is 2596.
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 = 12730365545568/(1x2596)
LCM = 12730365545568/2596
LCM = 4903838808
Thus, we can understand that the LCM of 814,649,127,354,536 is 4903838808.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 814, 649, 127, 354, 536?
Answer: LCM of 814, 649, 127, 354, 536 is 4903838808.
2. How to calculate the LCM of 814, 649, 127, 354, 536?
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, 649, 127, 354, 536.
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}.