Given numbers are 402,378,635,336,375

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

The LCM of 402,378,635,336,375 is 3216402000.

Find LCM of 402,378,635,336,375 with Prime Factorization

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

2 x 3 x 5 x 7 x 67 x 9 x 127 x 8 x 25 = 3216402000

Therefore, the lowest common multiple of 402,378,635,336,375 is 3216402000.

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 378 x 635 x 336 x 375 = 12157999560000

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

378 : 1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378

635 : 1, 5, 127, 635

336 : 1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 42, 48, 56, 84, 112, 168, 336

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 402,378,635,336,375, is 1.

Now, the common factors can be found like this.

402:2x 3x 67

378:2x 3x 3x 3x 7

635:5x 127

336:2x 2x 2x 2x 3x 7

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 2x 3x 3x 3x 5x 7 = 3780

Therefore, the value for common factors is 3780.

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 = 12157999560000/(1x3780)

LCM = 12157999560000/3780

LCM = 3216402000

Thus, we can understand that the LCM of 402,378,635,336,375 is 3216402000.

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

• LCM of 120, 365, 102, 838, 123
• LCM of 320, 584, 633, 982, 312
• LCM of 806, 483, 676, 265, 574
• LCM of 758, 305, 493, 906, 927
• LCM of 870, 274, 592, 929, 393

1. What is the LCM of 402, 378, 635, 336, 375?

Answer: LCM of 402, 378, 635, 336, 375 is 3216402000.

2. How to calculate the LCM of 402, 378, 635, 336, 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, 378, 635, 336, 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}.