Given numbers are 324,643,742

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

The LCM of 324,643,742 is 77291172.

Find LCM of 324,643,742 with Prime Factorization

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

2 x 162 x 643 x 371 = 77291172

Therefore, the lowest common multiple of 324,643,742 is 77291172.

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.

324 x 643 x 742 = 154582344

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.

324 : 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 324

643 : 1, 643

742 : 1, 2, 7, 14, 53, 106, 371, 742

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 324,643,742, is 1.

Now, the common factors can be found like this.

324:2x 2x 3x 3x 3x 3

643:643

742:2x 7x 53

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2 = 2

Therefore, the value for common factors is 2.

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 = 154582344/(1x2)

LCM = 154582344/2

LCM = 77291172

Thus, we can understand that the LCM of 324,643,742 is 77291172.

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

• LCM of 815, 552, 180
• LCM of 413, 818, 984
• LCM of 834, 327, 559
• LCM of 321, 694, 414
• LCM of 405, 374, 849

1. What is the LCM of 324, 643, 742?

Answer: LCM of 324, 643, 742 is 77291172.

2. How to calculate the LCM of 324, 643, 742?

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 324, 643, 742.

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}.