Given numbers are 540,645,535,488,707

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

The LCM of 540,645,535,488,707 is 214301513160.

Find LCM of 540,645,535,488,707 with Prime Factorization

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

2 x 2 x 3 x 5 x 9 x 43 x 107 x 122 x 707 = 214301513160

Therefore, the lowest common multiple of 540,645,535,488,707 is 214301513160.

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 645 x 535 x 488 x 707 = 64290453948000

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

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

535 : 1, 5, 107, 535

488 : 1, 2, 4, 8, 61, 122, 244, 488

707 : 1, 7, 101, 707

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 540,645,535,488,707, is 1.

Now, the common factors can be found like this.

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

645:3x 5x 43

535:5x 107

488:2x 2x 2x 61

707:7x 101

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 3x 5x 5 = 300

Therefore, the value for common factors is 300.

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 = 64290453948000/(1x300)

LCM = 64290453948000/300

LCM = 214301513160

Thus, we can understand that the LCM of 540,645,535,488,707 is 214301513160.

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

• LCM of 569, 514, 994, 723, 998
• LCM of 686, 275, 533, 913, 159
• LCM of 851, 704, 408, 181, 383
• LCM of 967, 158, 309, 426, 965
• LCM of 482, 225, 284, 999, 864

1. What is the LCM of 540, 645, 535, 488, 707?

Answer: LCM of 540, 645, 535, 488, 707 is 214301513160.

2. How to calculate the LCM of 540, 645, 535, 488, 707?

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, 645, 535, 488, 707.

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}.