Given numbers are 540,598,212,700,645

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

The LCM of 540,598,212,700,645 is 12878856900.

Find LCM of 540,598,212,700,645 with Prime Factorization

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

2 x 2 x 3 x 5 x 9 x 299 x 53 x 35 x 43 = 12878856900

Therefore, the lowest common multiple of 540,598,212,700,645 is 12878856900.

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 598 x 212 x 700 x 645 = 30909256560000

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

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

212 : 1, 2, 4, 53, 106, 212

700 : 1, 2, 4, 5, 7, 10, 14, 20, 25, 28, 35, 50, 70, 100, 140, 175, 350, 700

645 : 1, 3, 5, 15, 43, 129, 215, 645

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 540,598,212,700,645, is 1.

Now, the common factors can be found like this.

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

598:2x 13x 23

212:2x 2x 53

700:2x 2x 5x 5x 7

645:3x 5x 43

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 2x 3x 5x 5 = 2400

Therefore, the value for common factors is 2400.

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 = 30909256560000/(1x2400)

LCM = 30909256560000/2400

LCM = 12878856900

Thus, we can understand that the LCM of 540,598,212,700,645 is 12878856900.

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

• LCM of 468, 362, 695, 950, 166
• LCM of 546, 611, 536, 324, 765
• LCM of 358, 574, 578, 625, 935
• LCM of 414, 130, 864, 761, 334
• LCM of 573, 842, 772, 662, 395

1. What is the LCM of 540, 598, 212, 700, 645?

Answer: LCM of 540, 598, 212, 700, 645 is 12878856900.

2. How to calculate the LCM of 540, 598, 212, 700, 645?

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, 598, 212, 700, 645.

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}.