Find the LCM of 130, 461, 450, 270, 386 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 130, 461, 450, 270, 386. So, keep reading to learn more.
Given numbers are 130,461,450,270,386
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 130,461,450,270,386 is 1561476150.
Find LCM of 130,461,450,270,386 with Prime Factorization
2 | 130, 461, 450, 270, 386 |
3 | 65, 461, 225, 135, 193 |
3 | 65, 461, 75, 45, 193 |
5 | 65, 461, 25, 15, 193 |
13, 461, 5, 3, 193 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 5 x 13 x 461 x 5 x 3 x 193 = 1561476150
Therefore, the lowest common multiple of 130,461,450,270,386 is 1561476150.
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.
130 x 461 x 450 x 270 x 386 = 2810657070000
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.
130 : 1, 2, 5, 10, 13, 26, 65, 130
461 : 1, 461
450 : 1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 30, 45, 50, 75, 90, 150, 225, 450
270 : 1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 270
386 : 1, 2, 193, 386
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 130,461,450,270,386, is 1.
Now, the common factors can be found like this.
130:2x 5x 13
461:461
450:2x 3x 3x 5x 5
270:2x 3x 3x 3x 5
386:2x 193
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 2x 3x 3x 5x 5 = 1800
Therefore, the value for common factors is 1800.
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 = 2810657070000/(1x1800)
LCM = 2810657070000/1800
LCM = 1561476150
Thus, we can understand that the LCM of 130,461,450,270,386 is 1561476150.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 130, 461, 450, 270, 386?
Answer: LCM of 130, 461, 450, 270, 386 is 1561476150.
2. How to calculate the LCM of 130, 461, 450, 270, 386?
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 130, 461, 450, 270, 386.
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}.