Given numbers are 478,292,365,642

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

The LCM of 478,292,365,642 is 112009740.

Find LCM of 478,292,365,642 with Prime Factorization

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

2 x 73 x 239 x 2 x 5 x 321 = 112009740

Therefore, the lowest common multiple of 478,292,365,642 is 112009740.

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 292 x 365 x 642 = 32706844080

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

292 : 1, 2, 4, 73, 146, 292

365 : 1, 5, 73, 365

642 : 1, 2, 3, 6, 107, 214, 321, 642

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 478,292,365,642, is 1.

Now, the common factors can be found like this.

478:2x 239

292:2x 2x 73

365:5x 73

642:2x 3x 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 73 = 292

Therefore, the value for common factors is 292.

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 = 32706844080/(1x292)

LCM = 32706844080/292

LCM = 112009740

Thus, we can understand that the LCM of 478,292,365,642 is 112009740.

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

• LCM of 932, 864, 105, 551
• LCM of 808, 812, 885, 972
• LCM of 636, 992, 200, 246
• LCM of 396, 140, 299, 938
• LCM of 155, 796, 264, 506

1. What is the LCM of 478, 292, 365, 642?

Answer: LCM of 478, 292, 365, 642 is 112009740.

2. How to calculate the LCM of 478, 292, 365, 642?

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, 292, 365, 642.

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}.