Given numbers are 807,267,240

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

The LCM of 807,267,240 is 5745840.

Find LCM of 807,267,240 with Prime Factorization

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

3 x 269 x 89 x 80 = 5745840

Therefore, the lowest common multiple of 807,267,240 is 5745840.

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.

807 x 267 x 240 = 51712560

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.

807 : 1, 3, 269, 807

267 : 1, 3, 89, 267

240 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 240

3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 807,267,240, is 3.

Now, the common factors can be found like this.

807:3x 269

267:3x 89

240:2x 2x 2x 2x 3x 5

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 = 51712560/(3x3)

LCM = 51712560/9

LCM = 5745840

Thus, we can understand that the LCM of 807,267,240 is 5745840.

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

• LCM of 576, 240, 658
• LCM of 444, 808, 587
• LCM of 393, 419, 222
• LCM of 830, 892, 816
• LCM of 912, 512, 499

1. What is the LCM of 807, 267, 240?

Answer: LCM of 807, 267, 240 is 5745840.

2. How to calculate the LCM of 807, 267, 240?

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 807, 267, 240.

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}.