Given numbers are 381,402,429,485,756

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

The LCM of 381,402,429,485,756 is 446147121420.

Find LCM of 381,402,429,485,756 with Prime Factorization

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

2 x 3 x 127 x 67 x 143 x 485 x 126 = 446147121420

Therefore, the lowest common multiple of 381,402,429,485,756 is 446147121420.

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.

381 x 402 x 429 x 485 x 756 = 24091944556680

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.

381 : 1, 3, 127, 381

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

429 : 1, 3, 11, 13, 33, 39, 143, 429

485 : 1, 5, 97, 485

756 : 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 84, 108, 126, 189, 252, 378, 756

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 381,402,429,485,756, is 1.

Now, the common factors can be found like this.

381:3x 127

402:2x 3x 67

429:3x 11x 13

485:5x 97

756:2x 2x 3x 3x 3x 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 3x 3x 3 = 54

Therefore, the value for common factors is 54.

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 = 24091944556680/(1x54)

LCM = 24091944556680/54

LCM = 446147121420

Thus, we can understand that the LCM of 381,402,429,485,756 is 446147121420.

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

• LCM of 541, 990, 109, 568, 479
• LCM of 922, 971, 379, 847, 722
• LCM of 595, 580, 944, 177, 574
• LCM of 768, 387, 442, 359, 821
• LCM of 305, 495, 491, 682, 285

1. What is the LCM of 381, 402, 429, 485, 756?

Answer: LCM of 381, 402, 429, 485, 756 is 446147121420.

2. How to calculate the LCM of 381, 402, 429, 485, 756?

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 381, 402, 429, 485, 756.

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}.