Given numbers are 542,982,590,745,828

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

The LCM of 542,982,590,745,828 is 4842720499140.

Find LCM of 542,982,590,745,828 with Prime Factorization

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

2 x 5 x 271 x 491 x 59 x 149 x 414 = 4842720499140

Therefore, the lowest common multiple of 542,982,590,745,828 is 4842720499140.

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.

542 x 982 x 590 x 745 x 828 = 193708819965600

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.

542 : 1, 2, 271, 542

982 : 1, 2, 491, 982

590 : 1, 2, 5, 10, 59, 118, 295, 590

745 : 1, 5, 149, 745

828 : 1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 542,982,590,745,828, is 1.

Now, the common factors can be found like this.

542:2x 271

982:2x 491

590:2x 5x 59

745:5x 149

828:2x 2x 3x 3x 23

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 = 193708819965600/(1x40)

LCM = 193708819965600/40

LCM = 4842720499140

Thus, we can understand that the LCM of 542,982,590,745,828 is 4842720499140.

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

• LCM of 527, 188, 737, 976, 147
• LCM of 379, 402, 888, 371, 868
• LCM of 106, 877, 303, 268, 223
• LCM of 983, 630, 917, 288, 799
• LCM of 472, 589, 214, 806, 260

1. What is the LCM of 542, 982, 590, 745, 828?

Answer: LCM of 542, 982, 590, 745, 828 is 4842720499140.

2. How to calculate the LCM of 542, 982, 590, 745, 828?

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 542, 982, 590, 745, 828.

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}.