Given numbers are 112,446,168,149

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

The LCM of 112,446,168,149 is 11164272.

Find LCM of 112,446,168,149 with Prime Factorization

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

2 x 2 x 2 x 7 x 2 x 223 x 3 x 149 = 11164272

Therefore, the lowest common multiple of 112,446,168,149 is 11164272.

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.

112 x 446 x 168 x 149 = 1250398464

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.

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

446 : 1, 2, 223, 446

168 : 1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 168

149 : 1, 149

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 112,446,168,149, is 1.

Now, the common factors can be found like this.

112:2x 2x 2x 2x 7

446:2x 223

168:2x 2x 2x 3x 7

149:149

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 7 = 112

Therefore, the value for common factors is 112.

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 = 1250398464/(1x112)

LCM = 1250398464/112

LCM = 11164272

Thus, we can understand that the LCM of 112,446,168,149 is 11164272.

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

• LCM of 959, 619, 552, 359
• LCM of 858, 543, 486, 583
• LCM of 632, 464, 362, 563
• LCM of 986, 365, 974, 628
• LCM of 744, 831, 470, 697

1. What is the LCM of 112, 446, 168, 149?

Answer: LCM of 112, 446, 168, 149 is 11164272.

2. How to calculate the LCM of 112, 446, 168, 149?

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 112, 446, 168, 149.

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}.