Given numbers are 463,674,306,392

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

The LCM of 463,674,306,392 is 9358115256.

Find LCM of 463,674,306,392 with Prime Factorization

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

2 x 463 x 337 x 153 x 196 = 9358115256

Therefore, the lowest common multiple of 463,674,306,392 is 9358115256.

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 674 x 306 x 392 = 37432461024

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

674 : 1, 2, 337, 674

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

392 : 1, 2, 4, 7, 8, 14, 28, 49, 56, 98, 196, 392

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 463,674,306,392, is 1.

Now, the common factors can be found like this.

463:463

674:2x 337

306:2x 3x 3x 17

392:2x 2x 2x 7x 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 2 = 4

Therefore, the value for common factors is 4.

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 = 37432461024/(1x4)

LCM = 37432461024/4

LCM = 9358115256

Thus, we can understand that the LCM of 463,674,306,392 is 9358115256.

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

• LCM of 588, 629, 229, 912
• LCM of 173, 663, 413, 862
• LCM of 971, 258, 603, 206
• LCM of 996, 982, 232, 639
• LCM of 689, 766, 865, 680

1. What is the LCM of 463, 674, 306, 392?

Answer: LCM of 463, 674, 306, 392 is 9358115256.

2. How to calculate the LCM of 463, 674, 306, 392?

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, 674, 306, 392.

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}.