Given numbers are 267,674,465,408

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

The LCM of 267,674,465,408 is 1896757320.

Find LCM of 267,674,465,408 with Prime Factorization

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

2 x 3 x 89 x 337 x 155 x 68 = 1896757320

Therefore, the lowest common multiple of 267,674,465,408 is 1896757320.

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.

267 x 674 x 465 x 408 = 34141631760

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.

267 : 1, 3, 89, 267

674 : 1, 2, 337, 674

465 : 1, 3, 5, 15, 31, 93, 155, 465

408 : 1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 267,674,465,408, is 1.

Now, the common factors can be found like this.

267:3x 89

674:2x 337

465:3x 5x 31

408:2x 2x 2x 3x 17

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

2x 3x 3 = 18

Therefore, the value for common factors is 18.

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 = 34141631760/(1x18)

LCM = 34141631760/18

LCM = 1896757320

Thus, we can understand that the LCM of 267,674,465,408 is 1896757320.

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

• LCM of 200, 257, 682, 153
• LCM of 296, 947, 307, 328
• LCM of 259, 689, 993, 320
• LCM of 945, 693, 435, 197
• LCM of 795, 982, 977, 852

1. What is the LCM of 267, 674, 465, 408?

Answer: LCM of 267, 674, 465, 408 is 1896757320.

2. How to calculate the LCM of 267, 674, 465, 408?

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 267, 674, 465, 408.

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}.