Given numbers are 322,107,368,542

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

The LCM of 322,107,368,542 is 74696272.

Find LCM of 322,107,368,542 with Prime Factorization

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

2 x 23 x 7 x 107 x 8 x 271 = 74696272

Therefore, the lowest common multiple of 322,107,368,542 is 74696272.

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.

322 x 107 x 368 x 542 = 6872057024

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.

322 : 1, 2, 7, 14, 23, 46, 161, 322

107 : 1, 107

368 : 1, 2, 4, 8, 16, 23, 46, 92, 184, 368

542 : 1, 2, 271, 542

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 322,107,368,542, is 1.

Now, the common factors can be found like this.

322:2x 7x 23

107:107

368:2x 2x 2x 2x 23

542:2x 271

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 23 = 92

Therefore, the value for common factors is 92.

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 = 6872057024/(1x92)

LCM = 6872057024/92

LCM = 74696272

Thus, we can understand that the LCM of 322,107,368,542 is 74696272.

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

• LCM of 490, 743, 152, 610
• LCM of 127, 872, 626, 785
• LCM of 385, 714, 687, 862
• LCM of 194, 794, 789, 258
• LCM of 909, 335, 856, 274

1. What is the LCM of 322, 107, 368, 542?

Answer: LCM of 322, 107, 368, 542 is 74696272.

2. How to calculate the LCM of 322, 107, 368, 542?

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 322, 107, 368, 542.

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}.