Given numbers are 584,438,374,974

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

The LCM of 584,438,374,974 is 159552888.

Find LCM of 584,438,374,974 with Prime Factorization

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

2 x 73 x 4 x 3 x 187 x 487 = 159552888

Therefore, the lowest common multiple of 584,438,374,974 is 159552888.

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.

584 x 438 x 374 x 974 = 93178886592

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.

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

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

374 : 1, 2, 11, 17, 22, 34, 187, 374

974 : 1, 2, 487, 974

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 584,438,374,974, is 2.

Now, the common factors can be found like this.

584:2x 2x 2x 73

438:2x 3x 73

374:2x 11x 17

974:2x 487

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 = 93178886592/(2x292)

LCM = 93178886592/584

LCM = 159552888

Thus, we can understand that the LCM of 584,438,374,974 is 159552888.

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

• LCM of 987, 896, 364, 946
• LCM of 940, 741, 394, 867
• LCM of 583, 890, 922, 498
• LCM of 439, 443, 156, 462
• LCM of 838, 439, 682, 879

1. What is the LCM of 584, 438, 374, 974?

Answer: LCM of 584, 438, 374, 974 is 159552888.

2. How to calculate the LCM of 584, 438, 374, 974?

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 584, 438, 374, 974.

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}.