Given numbers are 478,742,176,242

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

The LCM of 478,742,176,242 is 171663184.

Find LCM of 478,742,176,242 with Prime Factorization

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

2 x 11 x 239 x 371 x 8 x 11 = 171663184

Therefore, the lowest common multiple of 478,742,176,242 is 171663184.

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 742 x 176 x 242 = 15106360192

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

742 : 1, 2, 7, 14, 53, 106, 371, 742

176 : 1, 2, 4, 8, 11, 16, 22, 44, 88, 176

242 : 1, 2, 11, 22, 121, 242

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 478,742,176,242, is 2.

Now, the common factors can be found like this.

478:2x 239

742:2x 7x 53

176:2x 2x 2x 2x 11

242:2x 11x 11

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 11 = 44

Therefore, the value for common factors is 44.

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 = 15106360192/(2x44)

LCM = 15106360192/88

LCM = 171663184

Thus, we can understand that the LCM of 478,742,176,242 is 171663184.

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

• LCM of 567, 775, 698, 664
• LCM of 171, 340, 556, 312
• LCM of 787, 540, 295, 865
• LCM of 237, 439, 412, 779
• LCM of 930, 195, 901, 459

1. What is the LCM of 478, 742, 176, 242?

Answer: LCM of 478, 742, 176, 242 is 171663184.

2. How to calculate the LCM of 478, 742, 176, 242?

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, 742, 176, 242.

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}.