Given numbers are 331,609,725,742

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

The LCM of 331,609,725,742 is 534184350.

Find LCM of 331,609,725,742 with Prime Factorization

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

7 x 29 x 331 x 3 x 25 x 106 = 534184350

Therefore, the lowest common multiple of 331,609,725,742 is 534184350.

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.

331 x 609 x 725 x 742 = 108439423050

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.

331 : 1, 331

609 : 1, 3, 7, 21, 29, 87, 203, 609

725 : 1, 5, 25, 29, 145, 725

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 331,609,725,742, is 1.

Now, the common factors can be found like this.

331:331

609:3x 7x 29

725:5x 5x 29

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.

7x 29 = 203

Therefore, the value for common factors is 203.

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 = 108439423050/(1x203)

LCM = 108439423050/203

LCM = 534184350

Thus, we can understand that the LCM of 331,609,725,742 is 534184350.

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

• LCM of 309, 396, 813, 545
• LCM of 109, 403, 454, 724
• LCM of 827, 779, 834, 958
• LCM of 524, 305, 662, 281
• LCM of 289, 810, 716, 303

1. What is the LCM of 331, 609, 725, 742?

Answer: LCM of 331, 609, 725, 742 is 534184350.

2. How to calculate the LCM of 331, 609, 725, 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 331, 609, 725, 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}.