Given numbers are 474,702,314,129,974

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

The LCM of 474,702,314,129,974 is 182331318546.

Find LCM of 474,702,314,129,974 with Prime Factorization

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

2 x 3 x 79 x 117 x 157 x 43 x 487 = 182331318546

Therefore, the lowest common multiple of 474,702,314,129,974 is 182331318546.

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.

474 x 702 x 314 x 129 x 974 = 13127854935312

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.

474 : 1, 2, 3, 6, 79, 158, 237, 474

702 : 1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 78, 117, 234, 351, 702

314 : 1, 2, 157, 314

129 : 1, 3, 43, 129

974 : 1, 2, 487, 974

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 474,702,314,129,974, is 1.

Now, the common factors can be found like this.

474:2x 3x 79

702:2x 3x 3x 3x 13

314:2x 157

129:3x 43

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 2x 3x 3 = 72

Therefore, the value for common factors is 72.

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 = 13127854935312/(1x72)

LCM = 13127854935312/72

LCM = 182331318546

Thus, we can understand that the LCM of 474,702,314,129,974 is 182331318546.

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

• LCM of 997, 897, 671, 566, 711
• LCM of 476, 872, 647, 831, 683
• LCM of 612, 795, 639, 289, 160
• LCM of 367, 978, 210, 233, 801
• LCM of 440, 199, 542, 369, 577

1. What is the LCM of 474, 702, 314, 129, 974?

Answer: LCM of 474, 702, 314, 129, 974 is 182331318546.

2. How to calculate the LCM of 474, 702, 314, 129, 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 474, 702, 314, 129, 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}.