Given numbers are 438,102,629,742

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

The LCM of 438,102,629,742 is 102211242.

Find LCM of 438,102,629,742 with Prime Factorization

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

2 x 3 x 17 x 73 x 1 x 37 x 371 = 102211242

Therefore, the lowest common multiple of 438,102,629,742 is 102211242.

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.

438 x 102 x 629 x 742 = 20851093368

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.

438 : 1, 2, 3, 6, 73, 146, 219, 438

102 : 1, 2, 3, 6, 17, 34, 51, 102

629 : 1, 17, 37, 629

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 438,102,629,742, is 1.

Now, the common factors can be found like this.

438:2x 3x 73

102:2x 3x 17

629:17x 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 3x 17 = 204

Therefore, the value for common factors is 204.

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 = 20851093368/(1x204)

LCM = 20851093368/204

LCM = 102211242

Thus, we can understand that the LCM of 438,102,629,742 is 102211242.

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

• LCM of 839, 520, 822, 870
• LCM of 223, 195, 137, 188
• LCM of 196, 159, 109, 422
• LCM of 601, 422, 822, 799
• LCM of 587, 586, 716, 555

1. What is the LCM of 438, 102, 629, 742?

Answer: LCM of 438, 102, 629, 742 is 102211242.

2. How to calculate the LCM of 438, 102, 629, 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 438, 102, 629, 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}.