Given numbers are 543,103,132,545,984

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

The LCM of 543,103,132,545,984 is 109976548440.

Find LCM of 543,103,132,545,984 with Prime Factorization

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

2 x 2 x 3 x 181 x 103 x 11 x 545 x 82 = 109976548440

Therefore, the lowest common multiple of 543,103,132,545,984 is 109976548440.

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.

543 x 103 x 132 x 545 x 984 = 3959155743840

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.

543 : 1, 3, 181, 543

103 : 1, 103

132 : 1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132

545 : 1, 5, 109, 545

984 : 1, 2, 3, 4, 6, 8, 12, 24, 41, 82, 123, 164, 246, 328, 492, 984

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 543,103,132,545,984, is 1.

Now, the common factors can be found like this.

543:3x 181

103:103

132:2x 2x 3x 11

545:5x 109

984:2x 2x 2x 3x 41

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 3 = 36

Therefore, the value for common factors is 36.

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 = 3959155743840/(1x36)

LCM = 3959155743840/36

LCM = 109976548440

Thus, we can understand that the LCM of 543,103,132,545,984 is 109976548440.

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

• LCM of 693, 276, 395, 253, 591
• LCM of 851, 697, 976, 603, 995
• LCM of 331, 902, 388, 434, 661
• LCM of 365, 531, 879, 898, 995
• LCM of 413, 239, 679, 733, 598

1. What is the LCM of 543, 103, 132, 545, 984?

Answer: LCM of 543, 103, 132, 545, 984 is 109976548440.

2. How to calculate the LCM of 543, 103, 132, 545, 984?

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 543, 103, 132, 545, 984.

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}.