Given numbers are 462,625,201,135,435

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

The LCM of 462,625,201,135,435 is 5049371250.

Find LCM of 462,625,201,135,435 with Prime Factorization

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

3 x 5 x 154 x 125 x 67 x 9 x 29 = 5049371250

Therefore, the lowest common multiple of 462,625,201,135,435 is 5049371250.

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.

462 x 625 x 201 x 135 x 435 = 3408325593750

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.

462 : 1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 154, 231, 462

625 : 1, 5, 25, 125, 625

201 : 1, 3, 67, 201

135 : 1, 3, 5, 9, 15, 27, 45, 135

435 : 1, 3, 5, 15, 29, 87, 145, 435

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 462,625,201,135,435, is 1.

Now, the common factors can be found like this.

462:2x 3x 7x 11

625:5x 5x 5x 5

201:3x 67

135:3x 3x 3x 5

435:3x 5x 29

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

3x 3x 3x 5x 5 = 675

Therefore, the value for common factors is 675.

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 = 3408325593750/(1x675)

LCM = 3408325593750/675

LCM = 5049371250

Thus, we can understand that the LCM of 462,625,201,135,435 is 5049371250.

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

• LCM of 722, 691, 331, 838, 449
• LCM of 660, 771, 758, 309, 631
• LCM of 963, 395, 843, 785, 249
• LCM of 904, 153, 235, 189, 674
• LCM of 103, 837, 672, 554, 787

1. What is the LCM of 462, 625, 201, 135, 435?

Answer: LCM of 462, 625, 201, 135, 435 is 5049371250.

2. How to calculate the LCM of 462, 625, 201, 135, 435?

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 462, 625, 201, 135, 435.

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}.