Find the LCM of 1, 649, 649, 270 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 1, 649, 649, 270. So, keep reading to learn more.
Given numbers are 1,649,649,270
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 1,649,649,270 is 175230.
Find LCM of 1,649,649,270 with Prime Factorization
11 | 1, 649, 649, 270 |
59 | 1, 59, 59, 270 |
1, 1, 1, 270 |
Multiply the prime numbers at the bottom and the left side.
11 x 59 x 1 x 1 x 1 x 270 = 175230
Therefore, the lowest common multiple of 1,649,649,270 is 175230.
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.
1 x 649 x 649 x 270 = 113724270
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.
1 : 1
649 : 1, 11, 59, 649
649 : 1, 11, 59, 649
270 : 1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 270
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 1,649,649,270, is 1.
Now, the common factors can be found like this.
1:
649:11x 59
649:11x 59
270:2x 3x 3x 3x 5
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
11x 59 = 649
Therefore, the value for common factors is 649.
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 = 113724270/(1x649)
LCM = 113724270/649
LCM = 175230
Thus, we can understand that the LCM of 1,649,649,270 is 175230.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 1, 649, 649, 270?
Answer: LCM of 1, 649, 649, 270 is 175230.
2. How to calculate the LCM of 1, 649, 649, 270?
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 1, 649, 649, 270.
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}.