Given numbers are 281,319,406,426

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

The LCM of 281,319,406,426 is 267303498.

Find LCM of 281,319,406,426 with Prime Factorization

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

2 x 29 x 281 x 11 x 7 x 213 = 267303498

Therefore, the lowest common multiple of 281,319,406,426 is 267303498.

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 319 x 406 x 426 = 15503602884

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

319 : 1, 11, 29, 319

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

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 281,319,406,426, is 1.

Now, the common factors can be found like this.

281:281

319:11x 29

406:2x 7x 29

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 29 = 58

Therefore, the value for common factors is 58.

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 = 15503602884/(1x58)

LCM = 15503602884/58

LCM = 267303498

Thus, we can understand that the LCM of 281,319,406,426 is 267303498.

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

• LCM of 948, 190, 866, 627
• LCM of 984, 712, 607, 387
• LCM of 561, 129, 334, 126
• LCM of 225, 708, 228, 818
• LCM of 861, 991, 217, 786

1. What is the LCM of 281, 319, 406, 426?

Answer: LCM of 281, 319, 406, 426 is 267303498.

2. How to calculate the LCM of 281, 319, 406, 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, 319, 406, 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}.