Given numbers are 508,407,222,742

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

The LCM of 508,407,222,742 is 230119428.

Find LCM of 508,407,222,742 with Prime Factorization

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

2 x 37 x 254 x 11 x 3 x 371 = 230119428

Therefore, the lowest common multiple of 508,407,222,742 is 230119428.

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.

508 x 407 x 222 x 742 = 34057675344

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.

508 : 1, 2, 4, 127, 254, 508

407 : 1, 11, 37, 407

222 : 1, 2, 3, 6, 37, 74, 111, 222

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 508,407,222,742, is 1.

Now, the common factors can be found like this.

508:2x 2x 127

407:11x 37

222:2x 3x 37

742:2x 7x 53

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 37 = 148

Therefore, the value for common factors is 148.

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 = 34057675344/(1x148)

LCM = 34057675344/148

LCM = 230119428

Thus, we can understand that the LCM of 508,407,222,742 is 230119428.

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

• LCM of 756, 139, 998, 555
• LCM of 775, 607, 440, 529
• LCM of 722, 568, 443, 818
• LCM of 938, 205, 689, 361
• LCM of 875, 447, 392, 667

1. What is the LCM of 508, 407, 222, 742?

Answer: LCM of 508, 407, 222, 742 is 230119428.

2. How to calculate the LCM of 508, 407, 222, 742?

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 508, 407, 222, 742.

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}.