Given numbers are 402,195,187,112

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

The LCM of 402,195,187,112 is 273633360.

Find LCM of 402,195,187,112 with Prime Factorization

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

2 x 3 x 67 x 65 x 187 x 56 = 273633360

Therefore, the lowest common multiple of 402,195,187,112 is 273633360.

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.

402 x 195 x 187 x 112 = 1641800160

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.

402 : 1, 2, 3, 6, 67, 134, 201, 402

195 : 1, 3, 5, 13, 15, 39, 65, 195

187 : 1, 11, 17, 187

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 402,195,187,112, is 1.

Now, the common factors can be found like this.

402:2x 3x 67

195:3x 5x 13

187:11x 17

112:2x 2x 2x 2x 7

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 3 = 6

Therefore, the value for common factors is 6.

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 = 1641800160/(1x6)

LCM = 1641800160/6

LCM = 273633360

Thus, we can understand that the LCM of 402,195,187,112 is 273633360.

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

• LCM of 516, 543, 200, 915
• LCM of 317, 988, 331, 767
• LCM of 467, 894, 434, 398
• LCM of 169, 104, 982, 647
• LCM of 825, 511, 553, 705

1. What is the LCM of 402, 195, 187, 112?

Answer: LCM of 402, 195, 187, 112 is 273633360.

2. How to calculate the LCM of 402, 195, 187, 112?

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 402, 195, 187, 112.

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}.