Given numbers are 426,406,750,231,441

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

The LCM of 426,406,750,231,441 is 2497052250.

Find LCM of 426,406,750,231,441 with Prime Factorization

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

2 x 3 x 7 x 71 x 29 x 125 x 11 x 21 = 2497052250

Therefore, the lowest common multiple of 426,406,750,231,441 is 2497052250.

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.

426 x 406 x 750 x 231 x 441 = 13214400507000

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.

426 : 1, 2, 3, 6, 71, 142, 213, 426

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

750 : 1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 125, 150, 250, 375, 750

231 : 1, 3, 7, 11, 21, 33, 77, 231

441 : 1, 3, 7, 9, 21, 49, 63, 147, 441

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 426,406,750,231,441, is 1.

Now, the common factors can be found like this.

426:2x 3x 71

406:2x 7x 29

750:2x 3x 5x 5x 5

231:3x 7x 11

441:3x 3x 7x 7

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 3x 7x 7 = 5292

Therefore, the value for common factors is 5292.

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 = 13214400507000/(1x5292)

LCM = 13214400507000/5292

LCM = 2497052250

Thus, we can understand that the LCM of 426,406,750,231,441 is 2497052250.

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

• LCM of 797, 287, 316, 555, 383
• LCM of 881, 441, 509, 834, 977
• LCM of 901, 845, 741, 828, 238
• LCM of 825, 701, 913, 811, 656
• LCM of 894, 389, 607, 266, 500

1. What is the LCM of 426, 406, 750, 231, 441?

Answer: LCM of 426, 406, 750, 231, 441 is 2497052250.

2. How to calculate the LCM of 426, 406, 750, 231, 441?

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 426, 406, 750, 231, 441.

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}.