Given numbers are 281,302,764,994,426

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

The LCM of 281,302,764,994,426 is 48334170444.

Find LCM of 281,302,764,994,426 with Prime Factorization

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

2 x 71 x 281 x 151 x 382 x 7 x 3 = 48334170444

Therefore, the lowest common multiple of 281,302,764,994,426 is 48334170444.

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.

281 x 302 x 764 x 994 x 426 = 27453808812192

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.

281 : 1, 281

302 : 1, 2, 151, 302

764 : 1, 2, 4, 191, 382, 764

994 : 1, 2, 7, 14, 71, 142, 497, 994

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 281,302,764,994,426, is 1.

Now, the common factors can be found like this.

281:281

302:2x 151

764:2x 2x 191

994:2x 7x 71

426:2x 3x 71

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 71 = 568

Therefore, the value for common factors is 568.

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 = 27453808812192/(1x568)

LCM = 27453808812192/568

LCM = 48334170444

Thus, we can understand that the LCM of 281,302,764,994,426 is 48334170444.

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

• LCM of 486, 319, 300, 804, 663
• LCM of 235, 550, 157, 222, 795
• LCM of 499, 341, 169, 608, 422
• LCM of 842, 818, 585, 412, 853
• LCM of 212, 585, 214, 574, 422

1. What is the LCM of 281, 302, 764, 994, 426?

Answer: LCM of 281, 302, 764, 994, 426 is 48334170444.

2. How to calculate the LCM of 281, 302, 764, 994, 426?

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 281, 302, 764, 994, 426.

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}.