Given numbers are 588,540,300,857

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

The LCM of 588,540,300,857 is 113381100.

Find LCM of 588,540,300,857 with Prime Factorization

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

2 x 2 x 3 x 5 x 49 x 9 x 5 x 857 = 113381100

Therefore, the lowest common multiple of 588,540,300,857 is 113381100.

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.

588 x 540 x 300 x 857 = 81634392000

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.

588 : 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 49, 84, 98, 147, 196, 294, 588

540 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 90, 108, 135, 180, 270, 540

300 : 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, 300

857 : 1, 857

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 588,540,300,857, is 1.

Now, the common factors can be found like this.

588:2x 2x 3x 7x 7

540:2x 2x 3x 3x 3x 5

300:2x 2x 3x 5x 5

857:857

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 2x 3x 3x 5 = 720

Therefore, the value for common factors is 720.

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 = 81634392000/(1x720)

LCM = 81634392000/720

LCM = 113381100

Thus, we can understand that the LCM of 588,540,300,857 is 113381100.

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

• LCM of 935, 480, 405, 809
• LCM of 258, 379, 436, 315
• LCM of 615, 761, 775, 768
• LCM of 109, 667, 706, 760
• LCM of 708, 564, 874, 644

1. What is the LCM of 588, 540, 300, 857?

Answer: LCM of 588, 540, 300, 857 is 113381100.

2. How to calculate the LCM of 588, 540, 300, 857?

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 588, 540, 300, 857.

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}.