Given numbers are 628,135,271,492,638

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

The LCM of 628,135,271,492,638 is 300494995020.

Find LCM of 628,135,271,492,638 with Prime Factorization

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

2 x 2 x 3 x 157 x 45 x 271 x 41 x 319 = 300494995020

Therefore, the lowest common multiple of 628,135,271,492,638 is 300494995020.

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.

628 x 135 x 271 x 492 x 638 = 7211879880480

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.

628 : 1, 2, 4, 157, 314, 628

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

271 : 1, 271

492 : 1, 2, 3, 4, 6, 12, 41, 82, 123, 164, 246, 492

638 : 1, 2, 11, 22, 29, 58, 319, 638

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 628,135,271,492,638, is 1.

Now, the common factors can be found like this.

628:2x 2x 157

135:3x 3x 3x 5

271:271

492:2x 2x 3x 41

638:2x 11x 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 2x 2x 3 = 24

Therefore, the value for common factors is 24.

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 = 7211879880480/(1x24)

LCM = 7211879880480/24

LCM = 300494995020

Thus, we can understand that the LCM of 628,135,271,492,638 is 300494995020.

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

• LCM of 603, 788, 210, 544, 179
• LCM of 194, 618, 558, 522, 783
• LCM of 344, 653, 913, 869, 572
• LCM of 181, 216, 557, 710, 111
• LCM of 291, 895, 316, 229, 659

1. What is the LCM of 628, 135, 271, 492, 638?

Answer: LCM of 628, 135, 271, 492, 638 is 300494995020.

2. How to calculate the LCM of 628, 135, 271, 492, 638?

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 628, 135, 271, 492, 638.

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}.