Given numbers are 676,201,427,406,609

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

The LCM of 676,201,427,406,609 is 1682552508.

Find LCM of 676,201,427,406,609 with Prime Factorization

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

2 x 3 x 7 x 29 x 338 x 67 x 61 x 1 x 1 = 1682552508

Therefore, the lowest common multiple of 676,201,427,406,609 is 1682552508.

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.

676 x 201 x 427 x 406 x 609 = 14345442683208

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.

676 : 1, 2, 4, 13, 26, 52, 169, 338, 676

201 : 1, 3, 67, 201

427 : 1, 7, 61, 427

406 : 1, 2, 7, 14, 29, 58, 203, 406

609 : 1, 3, 7, 21, 29, 87, 203, 609

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 676,201,427,406,609, is 1.

Now, the common factors can be found like this.

676:2x 2x 13x 13

201:3x 67

427:7x 61

406:2x 7x 29

609:3x 7x 29

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 7x 7x 29 = 8526

Therefore, the value for common factors is 8526.

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 = 14345442683208/(1x8526)

LCM = 14345442683208/8526

LCM = 1682552508

Thus, we can understand that the LCM of 676,201,427,406,609 is 1682552508.

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

• LCM of 476, 453, 939, 456, 708
• LCM of 442, 574, 812, 498, 947
• LCM of 636, 830, 992, 244, 732
• LCM of 723, 672, 140, 990, 751
• LCM of 325, 964, 763, 606, 196

1. What is the LCM of 676, 201, 427, 406, 609?

Answer: LCM of 676, 201, 427, 406, 609 is 1682552508.

2. How to calculate the LCM of 676, 201, 427, 406, 609?

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 676, 201, 427, 406, 609.

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}.