Given numbers are 267,532,780,814

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

The LCM of 267,532,780,814 is 3757774020.

Find LCM of 267,532,780,814 with Prime Factorization

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

2 x 2 x 3 x 89 x 133 x 65 x 407 = 3757774020

Therefore, the lowest common multiple of 267,532,780,814 is 3757774020.

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 532 x 780 x 814 = 90186576480

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

532 : 1, 2, 4, 7, 14, 19, 28, 38, 76, 133, 266, 532

780 : 1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 52, 60, 65, 78, 130, 156, 195, 260, 390, 780

814 : 1, 2, 11, 22, 37, 74, 407, 814

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 267,532,780,814, is 1.

Now, the common factors can be found like this.

267:3x 89

532:2x 2x 7x 19

780:2x 2x 3x 5x 13

814:2x 11x 37

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 3 = 24

Therefore, the value for common factors is 24.

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 = 90186576480/(1x24)

LCM = 90186576480/24

LCM = 3757774020

Thus, we can understand that the LCM of 267,532,780,814 is 3757774020.

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

• LCM of 640, 811, 815, 385
• LCM of 165, 974, 860, 954
• LCM of 375, 161, 520, 919
• LCM of 190, 708, 483, 924
• LCM of 326, 630, 317, 328

1. What is the LCM of 267, 532, 780, 814?

Answer: LCM of 267, 532, 780, 814 is 3757774020.

2. How to calculate the LCM of 267, 532, 780, 814?

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, 532, 780, 814.

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}.