Given numbers are 429,318,450,564,331

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

The LCM of 429,318,450,564,331 is 106115852700.

Find LCM of 429,318,450,564,331 with Prime Factorization

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

2 x 3 x 143 x 53 x 75 x 94 x 331 = 106115852700

Therefore, the lowest common multiple of 429,318,450,564,331 is 106115852700.

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.

429 x 318 x 450 x 564 x 331 = 11460512091600

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.

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

318 : 1, 2, 3, 6, 53, 106, 159, 318

450 : 1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 30, 45, 50, 75, 90, 150, 225, 450

564 : 1, 2, 3, 4, 6, 12, 47, 94, 141, 188, 282, 564

331 : 1, 331

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 429,318,450,564,331, is 1.

Now, the common factors can be found like this.

429:3x 11x 13

318:2x 3x 53

450:2x 3x 3x 5x 5

564:2x 2x 3x 47

331:331

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 3 = 108

Therefore, the value for common factors is 108.

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 = 11460512091600/(1x108)

LCM = 11460512091600/108

LCM = 106115852700

Thus, we can understand that the LCM of 429,318,450,564,331 is 106115852700.

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

• LCM of 114, 932, 218, 535, 615
• LCM of 921, 847, 215, 878, 406
• LCM of 268, 864, 641, 359, 774
• LCM of 449, 962, 782, 810, 993
• LCM of 851, 533, 919, 624, 611

1. What is the LCM of 429, 318, 450, 564, 331?

Answer: LCM of 429, 318, 450, 564, 331 is 106115852700.

2. How to calculate the LCM of 429, 318, 450, 564, 331?

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 429, 318, 450, 564, 331.

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}.