Given numbers are 283,720,129,560

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

The LCM of 283,720,129,560 is 61331760.

Find LCM of 283,720,129,560 with Prime Factorization

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

2 x 2 x 2 x 2 x 3 x 5 x 283 x 3 x 43 x 7 = 61331760

Therefore, the lowest common multiple of 283,720,129,560 is 61331760.

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.

283 x 720 x 129 x 560 = 14719622400

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.

283 : 1, 283

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

129 : 1, 3, 43, 129

560 : 1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 35, 40, 56, 70, 80, 112, 140, 280, 560

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 283,720,129,560, is 1.

Now, the common factors can be found like this.

283:283

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

129:3x 43

560:2x 2x 2x 2x 5x 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 2x 2x 3x 5 = 240

Therefore, the value for common factors is 240.

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 = 14719622400/(1x240)

LCM = 14719622400/240

LCM = 61331760

Thus, we can understand that the LCM of 283,720,129,560 is 61331760.

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

• LCM of 795, 422, 268, 628
• LCM of 258, 700, 365, 617
• LCM of 815, 724, 467, 214
• LCM of 357, 899, 157, 334
• LCM of 509, 541, 248, 967

1. What is the LCM of 283, 720, 129, 560?

Answer: LCM of 283, 720, 129, 560 is 61331760.

2. How to calculate the LCM of 283, 720, 129, 560?

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 283, 720, 129, 560.

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}.