Given numbers are 540,138,604,978,743

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

The LCM of 540,138,604,978,743 is 227130240780.

Find LCM of 540,138,604,978,743 with Prime Factorization

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

2 x 2 x 3 x 45 x 23 x 151 x 163 x 743 = 227130240780

Therefore, the lowest common multiple of 540,138,604,978,743 is 227130240780.

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 138 x 604 x 978 x 743 = 32706754672320

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

138 : 1, 2, 3, 6, 23, 46, 69, 138

604 : 1, 2, 4, 151, 302, 604

978 : 1, 2, 3, 6, 163, 326, 489, 978

743 : 1, 743

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 540,138,604,978,743, is 1.

Now, the common factors can be found like this.

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

138:2x 3x 23

604:2x 2x 151

978:2x 3x 163

743:743

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 3x 3 = 144

Therefore, the value for common factors is 144.

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 = 32706754672320/(1x144)

LCM = 32706754672320/144

LCM = 227130240780

Thus, we can understand that the LCM of 540,138,604,978,743 is 227130240780.

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

• LCM of 492, 605, 423, 460, 109
• LCM of 282, 693, 629, 605, 346
• LCM of 315, 689, 148, 498, 539
• LCM of 150, 830, 247, 905, 795
• LCM of 682, 414, 860, 699, 854

1. What is the LCM of 540, 138, 604, 978, 743?

Answer: LCM of 540, 138, 604, 978, 743 is 227130240780.

2. How to calculate the LCM of 540, 138, 604, 978, 743?

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, 138, 604, 978, 743.

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}.