Given numbers are 382,974,460,523

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

The LCM of 382,974,460,523 is 22378029860.

Find LCM of 382,974,460,523 with Prime Factorization

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

2 x 191 x 487 x 230 x 523 = 22378029860

Therefore, the lowest common multiple of 382,974,460,523 is 22378029860.

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.

382 x 974 x 460 x 523 = 89512119440

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.

382 : 1, 2, 191, 382

974 : 1, 2, 487, 974

460 : 1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460

523 : 1, 523

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 382,974,460,523, is 1.

Now, the common factors can be found like this.

382:2x 191

974:2x 487

460:2x 2x 5x 23

523:523

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 = 89512119440/(1x4)

LCM = 89512119440/4

LCM = 22378029860

Thus, we can understand that the LCM of 382,974,460,523 is 22378029860.

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

• LCM of 684, 766, 980, 661
• LCM of 211, 953, 159, 535
• LCM of 804, 536, 156, 521
• LCM of 333, 674, 610, 649
• LCM of 543, 268, 360, 354

1. What is the LCM of 382, 974, 460, 523?

Answer: LCM of 382, 974, 460, 523 is 22378029860.

2. How to calculate the LCM of 382, 974, 460, 523?

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 382, 974, 460, 523.

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}.