Given numbers are 478,149,514

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

The LCM of 478,149,514 is 18304054.

Find LCM of 478,149,514 with Prime Factorization

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

2 x 239 x 149 x 257 = 18304054

Therefore, the lowest common multiple of 478,149,514 is 18304054.

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.

478 x 149 x 514 = 36608108

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.

478 : 1, 2, 239, 478

149 : 1, 149

514 : 1, 2, 257, 514

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 478,149,514, is 1.

Now, the common factors can be found like this.

478:2x 239

149:149

514:2x 257

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

2 = 2

Therefore, the value for common factors is 2.

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 = 36608108/(1x2)

LCM = 36608108/2

LCM = 18304054

Thus, we can understand that the LCM of 478,149,514 is 18304054.

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

• LCM of 926, 233, 553
• LCM of 713, 527, 453
• LCM of 992, 175, 585
• LCM of 553, 990, 161
• LCM of 833, 217, 491

1. What is the LCM of 478, 149, 514?

Answer: LCM of 478, 149, 514 is 18304054.

2. How to calculate the LCM of 478, 149, 514?

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 478, 149, 514.

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}.