Given numbers are 574,202,214,443

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

The LCM of 574,202,214,443 is 2748025574.

Find LCM of 574,202,214,443 with Prime Factorization

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

2 x 287 x 101 x 107 x 443 = 2748025574

Therefore, the lowest common multiple of 574,202,214,443 is 2748025574.

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.

574 x 202 x 214 x 443 = 10992102296

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.

574 : 1, 2, 7, 14, 41, 82, 287, 574

202 : 1, 2, 101, 202

214 : 1, 2, 107, 214

443 : 1, 443

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 574,202,214,443, is 1.

Now, the common factors can be found like this.

574:2x 7x 41

202:2x 101

214:2x 107

443:443

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

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 10992102296/(1x4)

LCM = 10992102296/4

LCM = 2748025574

Thus, we can understand that the LCM of 574,202,214,443 is 2748025574.

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

• LCM of 945, 883, 806, 809
• LCM of 568, 300, 223, 788
• LCM of 150, 364, 472, 955
• LCM of 453, 609, 771, 967
• LCM of 294, 690, 399, 308

1. What is the LCM of 574, 202, 214, 443?

Answer: LCM of 574, 202, 214, 443 is 2748025574.

2. How to calculate the LCM of 574, 202, 214, 443?

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 574, 202, 214, 443.

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}.