Given numbers are 484,306,480,306,974

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

The LCM of 484,306,480,306,974 is 1442532960.

Find LCM of 484,306,480,306,974 with Prime Factorization

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

2 x 2 x 3 x 3 x 17 x 121 x 1 x 40 x 1 x 487 = 1442532960

Therefore, the lowest common multiple of 484,306,480,306,974 is 1442532960.

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.

484 x 306 x 480 x 306 x 974 = 21187924116480

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.

484 : 1, 2, 4, 11, 22, 44, 121, 242, 484

306 : 1, 2, 3, 6, 9, 17, 18, 34, 51, 102, 153, 306

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

306 : 1, 2, 3, 6, 9, 17, 18, 34, 51, 102, 153, 306

974 : 1, 2, 487, 974

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 484,306,480,306,974, is 2.

Now, the common factors can be found like this.

484:2x 2x 11x 11

306:2x 3x 3x 17

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

306:2x 3x 3x 17

974:2x 487

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 3x 3x 17 = 7344

Therefore, the value for common factors is 7344.

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 = 21187924116480/(2x7344)

LCM = 21187924116480/14688

LCM = 1442532960

Thus, we can understand that the LCM of 484,306,480,306,974 is 1442532960.

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

• LCM of 373, 627, 477, 105, 298
• LCM of 535, 417, 560, 497, 790
• LCM of 144, 135, 916, 937, 920
• LCM of 102, 715, 530, 175, 361
• LCM of 979, 611, 690, 238, 270

1. What is the LCM of 484, 306, 480, 306, 974?

Answer: LCM of 484, 306, 480, 306, 974 is 1442532960.

2. How to calculate the LCM of 484, 306, 480, 306, 974?

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 484, 306, 480, 306, 974.

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}.