Given numbers are 543,609,460

The least common multiple of numbers can be find using the prime factorization method or LCM formula.

The LCM of 543,609,460 is 50705340.

Find LCM of 543,609,460 with Prime Factorization

Multiply the prime numbers at the bottom and the left side.

3 x 181 x 203 x 460 = 50705340

Therefore, the lowest common multiple of 543,609,460 is 50705340.

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.

543 x 609 x 460 = 152116020

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.

543 : 1, 3, 181, 543

609 : 1, 3, 7, 21, 29, 87, 203, 609

460 : 1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 543,609,460, is 1.

Now, the common factors can be found like this.

543:3x 181

609:3x 7x 29

460:2x 2x 5x 23

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

3 = 3

Therefore, the value for common factors is 3.

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 = 152116020/(1x3)

LCM = 152116020/3

LCM = 50705340

Thus, we can understand that the LCM of 543,609,460 is 50705340.

Here are some samples of LCM of two or more Numbers calculations.

• LCM of 797, 107, 737
• LCM of 913, 193, 966
• LCM of 272, 753, 216
• LCM of 570, 214, 180
• LCM of 966, 958, 984

1. What is the LCM of 543, 609, 460?

Answer: LCM of 543, 609, 460 is 50705340.

2. How to calculate the LCM of 543, 609, 460?

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 543, 609, 460.

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}.