Given numbers are 221,182,201,344

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

The LCM of 221,182,201,344 is 106965768.

Find LCM of 221,182,201,344 with Prime Factorization

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

2 x 13 x 17 x 7 x 201 x 172 = 106965768

Therefore, the lowest common multiple of 221,182,201,344 is 106965768.

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.

221 x 182 x 201 x 344 = 2781109968

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.

221 : 1, 13, 17, 221

182 : 1, 2, 7, 13, 14, 26, 91, 182

201 : 1, 3, 67, 201

344 : 1, 2, 4, 8, 43, 86, 172, 344

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 221,182,201,344, is 1.

Now, the common factors can be found like this.

221:13x 17

182:2x 7x 13

201:3x 67

344:2x 2x 2x 43

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

2x 13 = 26

Therefore, the value for common factors is 26.

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 = 2781109968/(1x26)

LCM = 2781109968/26

LCM = 106965768

Thus, we can understand that the LCM of 221,182,201,344 is 106965768.

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

• LCM of 348, 620, 840, 150
• LCM of 166, 716, 538, 658
• LCM of 126, 889, 334, 162
• LCM of 254, 992, 217, 555
• LCM of 845, 405, 175, 722

1. What is the LCM of 221, 182, 201, 344?

Answer: LCM of 221, 182, 201, 344 is 106965768.

2. How to calculate the LCM of 221, 182, 201, 344?

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 221, 182, 201, 344.

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}.