Given numbers are 270,719,386,624

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

The LCM of 270,719,386,624 is 3896577360.

Find LCM of 270,719,386,624 with Prime Factorization

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

2 x 3 x 45 x 719 x 193 x 104 = 3896577360

Therefore, the lowest common multiple of 270,719,386,624 is 3896577360.

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.

270 x 719 x 386 x 624 = 46758928320

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.

270 : 1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 270

719 : 1, 719

386 : 1, 2, 193, 386

624 : 1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 39, 48, 52, 78, 104, 156, 208, 312, 624

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 270,719,386,624, is 1.

Now, the common factors can be found like this.

270:2x 3x 3x 3x 5

719:719

386:2x 193

624:2x 2x 2x 2x 3x 13

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 3 = 12

Therefore, the value for common factors is 12.

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 = 46758928320/(1x12)

LCM = 46758928320/12

LCM = 3896577360

Thus, we can understand that the LCM of 270,719,386,624 is 3896577360.

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

• LCM of 479, 983, 997, 233
• LCM of 949, 801, 944, 111
• LCM of 885, 635, 995, 638
• LCM of 790, 482, 977, 131
• LCM of 987, 933, 728, 122

1. What is the LCM of 270, 719, 386, 624?

Answer: LCM of 270, 719, 386, 624 is 3896577360.

2. How to calculate the LCM of 270, 719, 386, 624?

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 270, 719, 386, 624.

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}.