Given numbers are 300,142,745,540

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

The LCM of 300,142,745,540 is 28563300.

Find LCM of 300,142,745,540 with Prime Factorization

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

2 x 2 x 3 x 5 x 5 x 71 x 149 x 9 = 28563300

Therefore, the lowest common multiple of 300,142,745,540 is 28563300.

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.

300 x 142 x 745 x 540 = 17137980000

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.

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

142 : 1, 2, 71, 142

745 : 1, 5, 149, 745

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 300,142,745,540, is 1.

Now, the common factors can be found like this.

300:2x 2x 3x 5x 5

142:2x 71

745:5x 149

540:2x 2x 3x 3x 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.

2x 2x 2x 3x 5x 5 = 600

Therefore, the value for common factors is 600.

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 = 17137980000/(1x600)

LCM = 17137980000/600

LCM = 28563300

Thus, we can understand that the LCM of 300,142,745,540 is 28563300.

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

• LCM of 196, 513, 862, 954
• LCM of 414, 174, 547, 853
• LCM of 967, 714, 295, 418
• LCM of 848, 805, 346, 161
• LCM of 712, 826, 227, 733

1. What is the LCM of 300, 142, 745, 540?

Answer: LCM of 300, 142, 745, 540 is 28563300.

2. How to calculate the LCM of 300, 142, 745, 540?

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 300, 142, 745, 540.

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}.