Given numbers are 974,670,382,311

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

The LCM of 974,670,382,311 is 19381952290.

Find LCM of 974,670,382,311 with Prime Factorization

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

2 x 487 x 335 x 191 x 311 = 19381952290

Therefore, the lowest common multiple of 974,670,382,311 is 19381952290.

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.

974 x 670 x 382 x 311 = 77527809160

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.

974 : 1, 2, 487, 974

670 : 1, 2, 5, 10, 67, 134, 335, 670

382 : 1, 2, 191, 382

311 : 1, 311

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 974,670,382,311, is 1.

Now, the common factors can be found like this.

974:2x 487

670:2x 5x 67

382:2x 191

311:311

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 = 77527809160/(1x4)

LCM = 77527809160/4

LCM = 19381952290

Thus, we can understand that the LCM of 974,670,382,311 is 19381952290.

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

• LCM of 956, 185, 184, 889
• LCM of 679, 869, 882, 632
• LCM of 540, 472, 291, 956
• LCM of 983, 361, 576, 865
• LCM of 674, 263, 466, 737

1. What is the LCM of 974, 670, 382, 311?

Answer: LCM of 974, 670, 382, 311 is 19381952290.

2. How to calculate the LCM of 974, 670, 382, 311?

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 974, 670, 382, 311.

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}.