Given numbers are 612,402,974

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

The LCM of 612,402,974 is 19968948.

Find LCM of 612,402,974 with Prime Factorization

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

2 x 3 x 102 x 67 x 487 = 19968948

Therefore, the lowest common multiple of 612,402,974 is 19968948.

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.

612 x 402 x 974 = 239627376

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.

612 : 1, 2, 3, 4, 6, 9, 12, 17, 18, 34, 36, 51, 68, 102, 153, 204, 306, 612

402 : 1, 2, 3, 6, 67, 134, 201, 402

974 : 1, 2, 487, 974

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 612,402,974, is 2.

Now, the common factors can be found like this.

612:2x 2x 3x 3x 17

402:2x 3x 67

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 3 = 6

Therefore, the value for common factors is 6.

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 = 239627376/(2x6)

LCM = 239627376/12

LCM = 19968948

Thus, we can understand that the LCM of 612,402,974 is 19968948.

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

• LCM of 374, 211, 785
• LCM of 584, 514, 385
• LCM of 555, 668, 312
• LCM of 312, 501, 973
• LCM of 112, 354, 603

1. What is the LCM of 612, 402, 974?

Answer: LCM of 612, 402, 974 is 19968948.

2. How to calculate the LCM of 612, 402, 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 612, 402, 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}.