Given numbers are 448,266,318,201,214

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

The LCM of 448,266,318,201,214 is 9702581952.

Find LCM of 448,266,318,201,214 with Prime Factorization

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

2 x 3 x 7 x 32 x 19 x 53 x 67 x 107 = 9702581952

Therefore, the lowest common multiple of 448,266,318,201,214 is 9702581952.

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.

448 x 266 x 318 x 201 x 214 = 1630033767936

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.

448 : 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 224, 448

266 : 1, 2, 7, 14, 19, 38, 133, 266

318 : 1, 2, 3, 6, 53, 106, 159, 318

201 : 1, 3, 67, 201

214 : 1, 2, 107, 214

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 448,266,318,201,214, is 1.

Now, the common factors can be found like this.

448:2x 2x 2x 2x 2x 2x 7

266:2x 7x 19

318:2x 3x 53

201:3x 67

214:2x 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 3x 7 = 168

Therefore, the value for common factors is 168.

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 = 1630033767936/(1x168)

LCM = 1630033767936/168

LCM = 9702581952

Thus, we can understand that the LCM of 448,266,318,201,214 is 9702581952.

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

• LCM of 116, 699, 775, 783, 596
• LCM of 878, 882, 895, 777, 185
• LCM of 148, 148, 871, 836, 302
• LCM of 386, 857, 771, 400, 243
• LCM of 261, 926, 196, 834, 128

1. What is the LCM of 448, 266, 318, 201, 214?

Answer: LCM of 448, 266, 318, 201, 214 is 9702581952.

2. How to calculate the LCM of 448, 266, 318, 201, 214?

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 448, 266, 318, 201, 214.

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}.