Given numbers are 575,268,507,22

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

The LCM of 575,268,507,22 is 859415700.

Find LCM of 575,268,507,22 with Prime Factorization

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

2 x 575 x 134 x 507 x 11 = 859415700

Therefore, the lowest common multiple of 575,268,507,22 is 859415700.

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.

575 x 268 x 507 x 22 = 1718831400

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.

575 : 1, 5, 23, 25, 115, 575

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

507 : 1, 3, 13, 39, 169, 507

22 : 1, 2, 11, 22

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 575,268,507,22, is 1.

Now, the common factors can be found like this.

575:5x 5x 23

268:2x 2x 67

507:3x 13x 13

22:2x 11

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

2 = 2

Therefore, the value for common factors is 2.

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 = 1718831400/(1x2)

LCM = 1718831400/2

LCM = 859415700

Thus, we can understand that the LCM of 575,268,507,22 is 859415700.

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

• LCM of 251, 596, 983, 82
• LCM of 157, 299, 104, 72
• LCM of 110, 547, 148, 33
• LCM of 814, 601, 651, 15
• LCM of 442, 837, 920, 96

1. What is the LCM of 575, 268, 507, 22?

Answer: LCM of 575, 268, 507, 22 is 859415700.

2. How to calculate the LCM of 575, 268, 507, 22?

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 575, 268, 507, 22.

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}.