Given numbers are 52,24,84,321

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

The LCM of 52,24,84,321 is 233688.

Find LCM of 52,24,84,321 with Prime Factorization

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

2 x 2 x 3 x 13 x 2 x 7 x 107 = 233688

Therefore, the lowest common multiple of 52,24,84,321 is 233688.

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.

52 x 24 x 84 x 321 = 33651072

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.

52 : 1, 2, 4, 13, 26, 52

24 : 1, 2, 3, 4, 6, 8, 12, 24

84 : 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84

321 : 1, 3, 107, 321

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 52,24,84,321, is 1.

Now, the common factors can be found like this.

52:2x 2x 13

24:2x 2x 2x 3

84:2x 2x 3x 7

321:3x 107

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 2x 3x 3 = 144

Therefore, the value for common factors is 144.

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 = 33651072/(1x144)

LCM = 33651072/144

LCM = 233688

Thus, we can understand that the LCM of 52,24,84,321 is 233688.

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

• LCM of 51, 40, 46, 498
• LCM of 51, 17, 99, 268
• LCM of 43, 58, 40, 644
• LCM of 54, 28, 90, 501
• LCM of 60, 20, 11, 995

1. What is the LCM of 52, 24, 84, 321?

Answer: LCM of 52, 24, 84, 321 is 233688.

2. How to calculate the LCM of 52, 24, 84, 321?

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 52, 24, 84, 321.

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}.