Given numbers are 480,566,972,246,303

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

The LCM of 480,566,972,246,303 is 45563588640.

Find LCM of 480,566,972,246,303 with Prime Factorization

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

2 x 2 x 3 x 40 x 283 x 81 x 41 x 101 = 45563588640

Therefore, the lowest common multiple of 480,566,972,246,303 is 45563588640.

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 566 x 972 x 246 x 303 = 19683470292480

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

566 : 1, 2, 283, 566

972 : 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972

246 : 1, 2, 3, 6, 41, 82, 123, 246

303 : 1, 3, 101, 303

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 480,566,972,246,303, is 1.

Now, the common factors can be found like this.

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

566:2x 283

972:2x 2x 3x 3x 3x 3x 3

246:2x 3x 41

303:3x 101

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 3 = 432

Therefore, the value for common factors is 432.

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 = 19683470292480/(1x432)

LCM = 19683470292480/432

LCM = 45563588640

Thus, we can understand that the LCM of 480,566,972,246,303 is 45563588640.

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

• LCM of 419, 101, 129, 876, 638
• LCM of 501, 566, 748, 226, 780
• LCM of 830, 195, 636, 150, 533
• LCM of 974, 436, 925, 893, 754
• LCM of 804, 245, 586, 860, 715

1. What is the LCM of 480, 566, 972, 246, 303?

Answer: LCM of 480, 566, 972, 246, 303 is 45563588640.

2. How to calculate the LCM of 480, 566, 972, 246, 303?

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, 566, 972, 246, 303.

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}.