Given numbers are 540,514,582,724

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

The LCM of 540,514,582,724 is 2436560460.

Find LCM of 540,514,582,724 with Prime Factorization

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

2 x 2 x 3 x 45 x 257 x 97 x 181 = 2436560460

Therefore, the lowest common multiple of 540,514,582,724 is 2436560460.

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.

540 x 514 x 582 x 724 = 116954902080

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.

540 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 90, 108, 135, 180, 270, 540

514 : 1, 2, 257, 514

582 : 1, 2, 3, 6, 97, 194, 291, 582

724 : 1, 2, 4, 181, 362, 724

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 540,514,582,724, is 2.

Now, the common factors can be found like this.

540:2x 2x 3x 3x 3x 5

514:2x 257

582:2x 3x 97

724:2x 2x 181

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 2x 3 = 24

Therefore, the value for common factors is 24.

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 = 116954902080/(2x24)

LCM = 116954902080/48

LCM = 2436560460

Thus, we can understand that the LCM of 540,514,582,724 is 2436560460.

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

• LCM of 993, 913, 636, 765
• LCM of 749, 608, 645, 694
• LCM of 710, 701, 555, 453
• LCM of 840, 422, 379, 481
• LCM of 221, 708, 205, 918

1. What is the LCM of 540, 514, 582, 724?

Answer: LCM of 540, 514, 582, 724 is 2436560460.

2. How to calculate the LCM of 540, 514, 582, 724?

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 540, 514, 582, 724.

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}.