Given numbers are 724,201,566,268

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

The LCM of 724,201,566,268 is 41183292.

Find LCM of 724,201,566,268 with Prime Factorization

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

2 x 2 x 67 x 181 x 3 x 283 x 1 = 41183292

Therefore, the lowest common multiple of 724,201,566,268 is 41183292.

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.

724 x 201 x 566 x 268 = 22074244512

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.

724 : 1, 2, 4, 181, 362, 724

201 : 1, 3, 67, 201

566 : 1, 2, 283, 566

268 : 1, 2, 4, 67, 134, 268

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 724,201,566,268, is 1.

Now, the common factors can be found like this.

724:2x 2x 181

201:3x 67

566:2x 283

268:2x 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 2x 67 = 536

Therefore, the value for common factors is 536.

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 = 22074244512/(1x536)

LCM = 22074244512/536

LCM = 41183292

Thus, we can understand that the LCM of 724,201,566,268 is 41183292.

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

• LCM of 230, 450, 578, 547
• LCM of 802, 864, 594, 352
• LCM of 972, 178, 499, 202
• LCM of 117, 993, 416, 382
• LCM of 405, 881, 782, 434

1. What is the LCM of 724, 201, 566, 268?

Answer: LCM of 724, 201, 566, 268 is 41183292.

2. How to calculate the LCM of 724, 201, 566, 268?

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 724, 201, 566, 268.

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}.