Given numbers are 216,257,149,920

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

The LCM of 216,257,149,920 is 951198120.

Find LCM of 216,257,149,920 with Prime Factorization

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

2 x 2 x 2 x 27 x 257 x 149 x 115 = 951198120

Therefore, the lowest common multiple of 216,257,149,920 is 951198120.

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 257 x 149 x 920 = 7609584960

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

257 : 1, 257

149 : 1, 149

920 : 1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 216,257,149,920, is 1.

Now, the common factors can be found like this.

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

257:257

149:149

920:2x 2x 2x 5x 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 2 = 8

Therefore, the value for common factors is 8.

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 = 7609584960/(1x8)

LCM = 7609584960/8

LCM = 951198120

Thus, we can understand that the LCM of 216,257,149,920 is 951198120.

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

• LCM of 480, 577, 942, 940
• LCM of 764, 139, 632, 612
• LCM of 392, 404, 300, 396
• LCM of 883, 277, 406, 645
• LCM of 471, 851, 168, 822

1. What is the LCM of 216, 257, 149, 920?

Answer: LCM of 216, 257, 149, 920 is 951198120.

2. How to calculate the LCM of 216, 257, 149, 920?

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, 257, 149, 920.

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}.