Given numbers are 201,248,490,128

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

The LCM of 201,248,490,128 is 195404160.

Find LCM of 201,248,490,128 with Prime Factorization

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

2 x 2 x 2 x 201 x 31 x 245 x 16 = 195404160

Therefore, the lowest common multiple of 201,248,490,128 is 195404160.

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.

201 x 248 x 490 x 128 = 3126466560

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.

201 : 1, 3, 67, 201

248 : 1, 2, 4, 8, 31, 62, 124, 248

490 : 1, 2, 5, 7, 10, 14, 35, 49, 70, 98, 245, 490

128 : 1, 2, 4, 8, 16, 32, 64, 128

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 201,248,490,128, is 1.

Now, the common factors can be found like this.

201:3x 67

248:2x 2x 2x 31

490:2x 5x 7x 7

128:2x 2x 2x 2x 2x 2x 2

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 2 = 16

Therefore, the value for common factors is 16.

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 = 3126466560/(1x16)

LCM = 3126466560/16

LCM = 195404160

Thus, we can understand that the LCM of 201,248,490,128 is 195404160.

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

• LCM of 779, 107, 570, 635
• LCM of 840, 369, 416, 559
• LCM of 795, 920, 654, 656
• LCM of 823, 763, 737, 296
• LCM of 963, 146, 661, 565

1. What is the LCM of 201, 248, 490, 128?

Answer: LCM of 201, 248, 490, 128 is 195404160.

2. How to calculate the LCM of 201, 248, 490, 128?

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 201, 248, 490, 128.

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}.