Given numbers are 540,260,598,608

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

The LCM of 540,260,598,608 is 24541920.

Find LCM of 540,260,598,608 with Prime Factorization

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

2 x 2 x 5 x 13 x 27 x 1 x 23 x 152 = 24541920

Therefore, the lowest common multiple of 540,260,598,608 is 24541920.

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 260 x 598 x 608 = 51047193600

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

260 : 1, 2, 4, 5, 10, 13, 20, 26, 52, 65, 130, 260

598 : 1, 2, 13, 23, 26, 46, 299, 598

608 : 1, 2, 4, 8, 16, 19, 32, 38, 76, 152, 304, 608

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 540,260,598,608, is 2.

Now, the common factors can be found like this.

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

260:2x 2x 5x 13

598:2x 13x 23

608:2x 2x 2x 2x 2x 19

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 2x 5x 13 = 1040

Therefore, the value for common factors is 1040.

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 = 51047193600/(2x1040)

LCM = 51047193600/2080

LCM = 24541920

Thus, we can understand that the LCM of 540,260,598,608 is 24541920.

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

• LCM of 651, 160, 718, 244
• LCM of 340, 385, 567, 625
• LCM of 734, 529, 265, 403
• LCM of 932, 196, 132, 895
• LCM of 294, 750, 469, 121

1. What is the LCM of 540, 260, 598, 608?

Answer: LCM of 540, 260, 598, 608 is 24541920.

2. How to calculate the LCM of 540, 260, 598, 608?

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, 260, 598, 608.

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}.