Given numbers are 974,353,438,584

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

The LCM of 974,353,438,584 is 301188072.

Find LCM of 974,353,438,584 with Prime Factorization

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

2 x 73 x 487 x 353 x 3 x 4 = 301188072

Therefore, the lowest common multiple of 974,353,438,584 is 301188072.

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 353 x 438 x 584 = 87946917024

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

353 : 1, 353

438 : 1, 2, 3, 6, 73, 146, 219, 438

584 : 1, 2, 4, 8, 73, 146, 292, 584

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 974,353,438,584, is 1.

Now, the common factors can be found like this.

974:2x 487

353:353

438:2x 3x 73

584:2x 2x 2x 73

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 73 = 292

Therefore, the value for common factors is 292.

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 = 87946917024/(1x292)

LCM = 87946917024/292

LCM = 301188072

Thus, we can understand that the LCM of 974,353,438,584 is 301188072.

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

• LCM of 168, 398, 729, 900
• LCM of 552, 807, 605, 973
• LCM of 366, 396, 454, 252
• LCM of 163, 350, 214, 725
• LCM of 262, 809, 419, 310

1. What is the LCM of 974, 353, 438, 584?

Answer: LCM of 974, 353, 438, 584 is 301188072.

2. How to calculate the LCM of 974, 353, 438, 584?

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, 353, 438, 584.

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}.