Given numbers are 463,972,314,601,353

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

The LCM of 463,972,314,601,353 is 14989808538756.

Find LCM of 463,972,314,601,353 with Prime Factorization

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

2 x 463 x 486 x 157 x 601 x 353 = 14989808538756

Therefore, the lowest common multiple of 463,972,314,601,353 is 14989808538756.

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.

463 x 972 x 314 x 601 x 353 = 29979617077512

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.

463 : 1, 463

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

314 : 1, 2, 157, 314

601 : 1, 601

353 : 1, 353

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 463,972,314,601,353, is 1.

Now, the common factors can be found like this.

463:463

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

314:2x 157

601:601

353:353

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2 = 2

Therefore, the value for common factors is 2.

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 = 29979617077512/(1x2)

LCM = 29979617077512/2

LCM = 14989808538756

Thus, we can understand that the LCM of 463,972,314,601,353 is 14989808538756.

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

• LCM of 244, 505, 970, 638, 129
• LCM of 730, 293, 865, 350, 890
• LCM of 440, 697, 541, 787, 442
• LCM of 697, 458, 620, 877, 802
• LCM of 149, 548, 147, 350, 104

1. What is the LCM of 463, 972, 314, 601, 353?

Answer: LCM of 463, 972, 314, 601, 353 is 14989808538756.

2. How to calculate the LCM of 463, 972, 314, 601, 353?

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 463, 972, 314, 601, 353.

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}.