Given numbers are 584,365,531,742

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

The LCM of 584,365,531,742 is 575242920.

Find LCM of 584,365,531,742 with Prime Factorization

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

2 x 73 x 4 x 5 x 531 x 371 = 575242920

Therefore, the lowest common multiple of 584,365,531,742 is 575242920.

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 365 x 531 x 742 = 83985466320

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

365 : 1, 5, 73, 365

531 : 1, 3, 9, 59, 177, 531

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 584,365,531,742, is 1.

Now, the common factors can be found like this.

584:2x 2x 2x 73

365:5x 73

531:3x 3x 59

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 73 = 146

Therefore, the value for common factors is 146.

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 = 83985466320/(1x146)

LCM = 83985466320/146

LCM = 575242920

Thus, we can understand that the LCM of 584,365,531,742 is 575242920.

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

• LCM of 326, 797, 278, 750
• LCM of 716, 359, 865, 755
• LCM of 405, 802, 314, 564
• LCM of 290, 314, 324, 490
• LCM of 416, 545, 703, 898

1. What is the LCM of 584, 365, 531, 742?

Answer: LCM of 584, 365, 531, 742 is 575242920.

2. How to calculate the LCM of 584, 365, 531, 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, 365, 531, 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}.