Given numbers are 128,448,586,149

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

The LCM of 128,448,586,149 is 39116672.

Find LCM of 128,448,586,149 with Prime Factorization

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

2 x 2 x 2 x 2 x 2 x 2 x 2 x 7 x 293 x 149 = 39116672

Therefore, the lowest common multiple of 128,448,586,149 is 39116672.

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.

128 x 448 x 586 x 149 = 5006934016

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.

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

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

586 : 1, 2, 293, 586

149 : 1, 149

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 128,448,586,149, is 1.

Now, the common factors can be found like this.

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

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

586:2x 293

149:149

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 2x 2x 2 = 128

Therefore, the value for common factors is 128.

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 = 5006934016/(1x128)

LCM = 5006934016/128

LCM = 39116672

Thus, we can understand that the LCM of 128,448,586,149 is 39116672.

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

• LCM of 807, 563, 852, 802
• LCM of 172, 780, 307, 887
• LCM of 800, 187, 562, 689
• LCM of 356, 277, 211, 895
• LCM of 429, 751, 608, 424

1. What is the LCM of 128, 448, 586, 149?

Answer: LCM of 128, 448, 586, 149 is 39116672.

2. How to calculate the LCM of 128, 448, 586, 149?

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 128, 448, 586, 149.

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}.