Given numbers are 216,112,250,299

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

The LCM of 216,112,250,299 is 113022000.

Find LCM of 216,112,250,299 with Prime Factorization

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

2 x 2 x 2 x 27 x 14 x 125 x 299 = 113022000

Therefore, the lowest common multiple of 216,112,250,299 is 113022000.

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.

216 x 112 x 250 x 299 = 1808352000

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.

216 : 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 108, 216

112 : 1, 2, 4, 7, 8, 14, 16, 28, 56, 112

250 : 1, 2, 5, 10, 25, 50, 125, 250

299 : 1, 13, 23, 299

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 216,112,250,299, is 1.

Now, the common factors can be found like this.

216:2x 2x 2x 3x 3x 3

112:2x 2x 2x 2x 7

250:2x 5x 5x 5

299:13x 23

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 2 = 16

Therefore, the value for common factors is 16.

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 = 1808352000/(1x16)

LCM = 1808352000/16

LCM = 113022000

Thus, we can understand that the LCM of 216,112,250,299 is 113022000.

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

• LCM of 140, 714, 847, 118
• LCM of 727, 884, 429, 864
• LCM of 610, 388, 950, 147
• LCM of 582, 179, 707, 448
• LCM of 781, 883, 601, 107

1. What is the LCM of 216, 112, 250, 299?

Answer: LCM of 216, 112, 250, 299 is 113022000.

2. How to calculate the LCM of 216, 112, 250, 299?

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 216, 112, 250, 299.

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}.