Given numbers are 442,235,402,268

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

The LCM of 442,235,402,268 is 41755740.

Find LCM of 442,235,402,268 with Prime Factorization

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

2 x 67 x 221 x 235 x 3 x 2 = 41755740

Therefore, the lowest common multiple of 442,235,402,268 is 41755740.

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.

442 x 235 x 402 x 268 = 11190538320

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.

442 : 1, 2, 13, 17, 26, 34, 221, 442

235 : 1, 5, 47, 235

402 : 1, 2, 3, 6, 67, 134, 201, 402

268 : 1, 2, 4, 67, 134, 268

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 442,235,402,268, is 1.

Now, the common factors can be found like this.

442:2x 13x 17

235:5x 47

402:2x 3x 67

268:2x 2x 67

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 67 = 268

Therefore, the value for common factors is 268.

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 = 11190538320/(1x268)

LCM = 11190538320/268

LCM = 41755740

Thus, we can understand that the LCM of 442,235,402,268 is 41755740.

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

• LCM of 394, 932, 250, 989
• LCM of 988, 692, 765, 976
• LCM of 949, 167, 873, 688
• LCM of 997, 132, 904, 138
• LCM of 769, 773, 248, 583

1. What is the LCM of 442, 235, 402, 268?

Answer: LCM of 442, 235, 402, 268 is 41755740.

2. How to calculate the LCM of 442, 235, 402, 268?

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 442, 235, 402, 268.

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}.