Given numbers are 584,375,742

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

The LCM of 584,375,742 is 81249000.

Find LCM of 584,375,742 with Prime Factorization

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

2 x 292 x 375 x 371 = 81249000

Therefore, the lowest common multiple of 584,375,742 is 81249000.

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.

584 x 375 x 742 = 162498000

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.

584 : 1, 2, 4, 8, 73, 146, 292, 584

375 : 1, 3, 5, 15, 25, 75, 125, 375

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 584,375,742, is 1.

Now, the common factors can be found like this.

584:2x 2x 2x 73

375:3x 5x 5x 5

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.

2 = 2

Therefore, the value for common factors is 2.

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 = 162498000/(1x2)

LCM = 162498000/2

LCM = 81249000

Thus, we can understand that the LCM of 584,375,742 is 81249000.

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

• LCM of 123, 485, 381
• LCM of 629, 123, 308
• LCM of 750, 270, 721
• LCM of 423, 549, 843
• LCM of 931, 707, 343

1. What is the LCM of 584, 375, 742?

Answer: LCM of 584, 375, 742 is 81249000.

2. How to calculate the LCM of 584, 375, 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 584, 375, 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}.