Given numbers are 471,260,367,491,567

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

The LCM of 471,260,367,491,567 is 4170648753180.

Find LCM of 471,260,367,491,567 with Prime Factorization

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

3 x 157 x 260 x 367 x 491 x 189 = 4170648753180

Therefore, the lowest common multiple of 471,260,367,491,567 is 4170648753180.

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.

471 x 260 x 367 x 491 x 567 = 12511946259540

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.

471 : 1, 3, 157, 471

260 : 1, 2, 4, 5, 10, 13, 20, 26, 52, 65, 130, 260

367 : 1, 367

491 : 1, 491

567 : 1, 3, 7, 9, 21, 27, 63, 81, 189, 567

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 471,260,367,491,567, is 1.

Now, the common factors can be found like this.

471:3x 157

260:2x 2x 5x 13

367:367

491:491

567:3x 3x 3x 3x 7

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 = 12511946259540/(1x3)

LCM = 12511946259540/3

LCM = 4170648753180

Thus, we can understand that the LCM of 471,260,367,491,567 is 4170648753180.

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

• LCM of 493, 404, 913, 924, 329
• LCM of 951, 499, 312, 963, 891
• LCM of 406, 620, 887, 695, 345
• LCM of 531, 222, 541, 547, 246
• LCM of 901, 271, 537, 729, 680

1. What is the LCM of 471, 260, 367, 491, 567?

Answer: LCM of 471, 260, 367, 491, 567 is 4170648753180.

2. How to calculate the LCM of 471, 260, 367, 491, 567?

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 471, 260, 367, 491, 567.

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}.