Given numbers are 402,281,377,128,375

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

The LCM of 402,281,377,128,375 is 340693392000.

Find LCM of 402,281,377,128,375 with Prime Factorization

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

2 x 3 x 67 x 281 x 377 x 64 x 125 = 340693392000

Therefore, the lowest common multiple of 402,281,377,128,375 is 340693392000.

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 281 x 377 x 128 x 375 = 2044160352000

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

281 : 1, 281

377 : 1, 13, 29, 377

128 : 1, 2, 4, 8, 16, 32, 64, 128

375 : 1, 3, 5, 15, 25, 75, 125, 375

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 402,281,377,128,375, is 1.

Now, the common factors can be found like this.

402:2x 3x 67

281:281

377:13x 29

128:2x 2x 2x 2x 2x 2x 2

375:3x 5x 5x 5

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 = 2044160352000/(1x6)

LCM = 2044160352000/6

LCM = 340693392000

Thus, we can understand that the LCM of 402,281,377,128,375 is 340693392000.

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

• LCM of 477, 124, 640, 985, 747
• LCM of 127, 109, 928, 708, 720
• LCM of 101, 865, 221, 972, 344
• LCM of 136, 258, 439, 182, 102
• LCM of 488, 905, 190, 441, 871

1. What is the LCM of 402, 281, 377, 128, 375?

Answer: LCM of 402, 281, 377, 128, 375 is 340693392000.

2. How to calculate the LCM of 402, 281, 377, 128, 375?

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, 281, 377, 128, 375.

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}.