Given numbers are 540,928,535,742

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

The LCM of 540,928,535,742 is 4973240160.

Find LCM of 540,928,535,742 with Prime Factorization

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

2 x 2 x 5 x 27 x 232 x 107 x 371 = 4973240160

Therefore, the lowest common multiple of 540,928,535,742 is 4973240160.

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 928 x 535 x 742 = 198929606400

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

928 : 1, 2, 4, 8, 16, 29, 32, 58, 116, 232, 464, 928

535 : 1, 5, 107, 535

742 : 1, 2, 7, 14, 53, 106, 371, 742

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 540,928,535,742, is 1.

Now, the common factors can be found like this.

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

928:2x 2x 2x 2x 2x 29

535:5x 107

742:2x 7x 53

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 5 = 40

Therefore, the value for common factors is 40.

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 = 198929606400/(1x40)

LCM = 198929606400/40

LCM = 4973240160

Thus, we can understand that the LCM of 540,928,535,742 is 4973240160.

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

• LCM of 952, 142, 700, 342
• LCM of 243, 869, 508, 367
• LCM of 483, 292, 799, 929
• LCM of 843, 813, 259, 922
• LCM of 461, 693, 603, 424

1. What is the LCM of 540, 928, 535, 742?

Answer: LCM of 540, 928, 535, 742 is 4973240160.

2. How to calculate the LCM of 540, 928, 535, 742?

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, 928, 535, 742.

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}.