Given numbers are 480,235,752,985,283

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

The LCM of 480,235,752,985,283 is 1257742560.

Find LCM of 480,235,752,985,283 with Prime Factorization

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

2 x 2 x 2 x 2 x 5 x 47 x 6 x 1 x 1 x 197 x 283 = 1257742560

Therefore, the lowest common multiple of 480,235,752,985,283 is 1257742560.

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.

480 x 235 x 752 x 985 x 283 = 23645560128000

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.

480 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 80, 96, 120, 160, 240, 480

235 : 1, 5, 47, 235

752 : 1, 2, 4, 8, 16, 47, 94, 188, 376, 752

985 : 1, 5, 197, 985

283 : 1, 283

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 480,235,752,985,283, is 1.

Now, the common factors can be found like this.

480:2x 2x 2x 2x 2x 3x 5

235:5x 47

752:2x 2x 2x 2x 47

985:5x 197

283:283

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 5x 5x 47 = 18800

Therefore, the value for common factors is 18800.

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 = 23645560128000/(1x18800)

LCM = 23645560128000/18800

LCM = 1257742560

Thus, we can understand that the LCM of 480,235,752,985,283 is 1257742560.

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

• LCM of 322, 738, 964, 126, 452
• LCM of 317, 749, 838, 559, 732
• LCM of 382, 261, 391, 500, 592
• LCM of 499, 259, 250, 746, 148
• LCM of 936, 596, 963, 152, 177

1. What is the LCM of 480, 235, 752, 985, 283?

Answer: LCM of 480, 235, 752, 985, 283 is 1257742560.

2. How to calculate the LCM of 480, 235, 752, 985, 283?

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 480, 235, 752, 985, 283.

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}.