Given numbers are 281,526,720,968

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

The LCM of 281,526,720,968 is 6438429360.

Find LCM of 281,526,720,968 with Prime Factorization

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

2 x 2 x 2 x 281 x 263 x 90 x 121 = 6438429360

Therefore, the lowest common multiple of 281,526,720,968 is 6438429360.

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 526 x 720 x 968 = 103014869760

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

526 : 1, 2, 263, 526

720 : 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, 720

968 : 1, 2, 4, 8, 11, 22, 44, 88, 121, 242, 484, 968

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 281,526,720,968, is 1.

Now, the common factors can be found like this.

281:281

526:2x 263

720:2x 2x 2x 2x 3x 3x 5

968:2x 2x 2x 11x 11

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 2 = 16

Therefore, the value for common factors is 16.

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 = 103014869760/(1x16)

LCM = 103014869760/16

LCM = 6438429360

Thus, we can understand that the LCM of 281,526,720,968 is 6438429360.

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

• LCM of 408, 553, 898, 708
• LCM of 377, 180, 492, 213
• LCM of 762, 591, 909, 121
• LCM of 413, 219, 555, 704
• LCM of 334, 873, 400, 646

1. What is the LCM of 281, 526, 720, 968?

Answer: LCM of 281, 526, 720, 968 is 6438429360.

2. How to calculate the LCM of 281, 526, 720, 968?

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, 526, 720, 968.

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}.