Given numbers are 402,144,381,652

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

The LCM of 402,144,381,652 is 199723248.

Find LCM of 402,144,381,652 with Prime Factorization

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

2 x 2 x 3 x 67 x 12 x 127 x 163 = 199723248

Therefore, the lowest common multiple of 402,144,381,652 is 199723248.

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 144 x 381 x 652 = 14380073856

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

144 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144

381 : 1, 3, 127, 381

652 : 1, 2, 4, 163, 326, 652

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 402,144,381,652, is 1.

Now, the common factors can be found like this.

402:2x 3x 67

144:2x 2x 2x 2x 3x 3

381:3x 127

652:2x 2x 163

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 3 = 72

Therefore, the value for common factors is 72.

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 = 14380073856/(1x72)

LCM = 14380073856/72

LCM = 199723248

Thus, we can understand that the LCM of 402,144,381,652 is 199723248.

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

• LCM of 506, 886, 868, 713
• LCM of 852, 821, 510, 480
• LCM of 772, 411, 200, 584
• LCM of 333, 904, 745, 475
• LCM of 912, 520, 709, 939

1. What is the LCM of 402, 144, 381, 652?

Answer: LCM of 402, 144, 381, 652 is 199723248.

2. How to calculate the LCM of 402, 144, 381, 652?

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, 144, 381, 652.

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}.