Given numbers are 495,331,378,812,429

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

The LCM of 495,331,378,812,429 is 5188643460.

Find LCM of 495,331,378,812,429 with Prime Factorization

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

2 x 3 x 3 x 7 x 11 x 5 x 331 x 3 x 58 x 13 = 5188643460

Therefore, the lowest common multiple of 495,331,378,812,429 is 5188643460.

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.

495 x 331 x 378 x 812 x 429 = 21574379506680

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.

495 : 1, 3, 5, 9, 11, 15, 33, 45, 55, 99, 165, 495

331 : 1, 331

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

812 : 1, 2, 4, 7, 14, 28, 29, 58, 116, 203, 406, 812

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 495,331,378,812,429, is 1.

Now, the common factors can be found like this.

495:3x 3x 5x 11

331:331

378:2x 3x 3x 3x 7

812:2x 2x 7x 29

429:3x 11x 13

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 3x 7x 11 = 4158

Therefore, the value for common factors is 4158.

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 = 21574379506680/(1x4158)

LCM = 21574379506680/4158

LCM = 5188643460

Thus, we can understand that the LCM of 495,331,378,812,429 is 5188643460.

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

• LCM of 962, 941, 805, 587, 643
• LCM of 970, 461, 622, 287, 781
• LCM of 209, 731, 739, 111, 742
• LCM of 134, 120, 743, 898, 143
• LCM of 918, 200, 699, 810, 139

1. What is the LCM of 495, 331, 378, 812, 429?

Answer: LCM of 495, 331, 378, 812, 429 is 5188643460.

2. How to calculate the LCM of 495, 331, 378, 812, 429?

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 495, 331, 378, 812, 429.

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}.