Given numbers are 460,134,242,249

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

The LCM of 460,134,242,249 is 928575780.

Find LCM of 460,134,242,249 with Prime Factorization

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

2 x 230 x 67 x 121 x 249 = 928575780

Therefore, the lowest common multiple of 460,134,242,249 is 928575780.

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.

460 x 134 x 242 x 249 = 3714303120

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.

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

134 : 1, 2, 67, 134

242 : 1, 2, 11, 22, 121, 242

249 : 1, 3, 83, 249

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 460,134,242,249, is 1.

Now, the common factors can be found like this.

460:2x 2x 5x 23

134:2x 67

242:2x 11x 11

249:3x 83

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

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 3714303120/(1x4)

LCM = 3714303120/4

LCM = 928575780

Thus, we can understand that the LCM of 460,134,242,249 is 928575780.

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

• LCM of 368, 887, 361, 705
• LCM of 877, 411, 705, 952
• LCM of 419, 354, 112, 712
• LCM of 664, 760, 966, 471
• LCM of 530, 497, 235, 180

1. What is the LCM of 460, 134, 242, 249?

Answer: LCM of 460, 134, 242, 249 is 928575780.

2. How to calculate the LCM of 460, 134, 242, 249?

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 460, 134, 242, 249.

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}.