Given numbers are 540,750,522,618,290

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

The LCM of 540,750,522,618,290 is 40324500.

Find LCM of 540,750,522,618,290 with Prime Factorization

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

2 x 3 x 3 x 5 x 29 x 6 x 25 x 1 x 103 x 1 = 40324500

Therefore, the lowest common multiple of 540,750,522,618,290 is 40324500.

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 750 x 522 x 618 x 290 = 37888900200000

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

750 : 1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 125, 150, 250, 375, 750

522 : 1, 2, 3, 6, 9, 18, 29, 58, 87, 174, 261, 522

618 : 1, 2, 3, 6, 103, 206, 309, 618

290 : 1, 2, 5, 10, 29, 58, 145, 290

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 540,750,522,618,290, is 2.

Now, the common factors can be found like this.

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

750:2x 3x 5x 5x 5

522:2x 3x 3x 29

618:2x 3x 103

290:2x 5x 29

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 3x 3x 3x 3x 5x 5x 29 = 469800

Therefore, the value for common factors is 469800.

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 = 37888900200000/(2x469800)

LCM = 37888900200000/939600

LCM = 40324500

Thus, we can understand that the LCM of 540,750,522,618,290 is 40324500.

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

• LCM of 567, 301, 127, 838, 635
• LCM of 755, 278, 405, 615, 331
• LCM of 852, 972, 466, 151, 909
• LCM of 729, 198, 242, 577, 584
• LCM of 298, 444, 202, 106, 487

1. What is the LCM of 540, 750, 522, 618, 290?

Answer: LCM of 540, 750, 522, 618, 290 is 40324500.

2. How to calculate the LCM of 540, 750, 522, 618, 290?

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, 750, 522, 618, 290.

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}.