Given numbers are 542,776,900,758,973

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

The LCM of 542,776,900,758,973 is 17448800632200.

Find LCM of 542,776,900,758,973 with Prime Factorization

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

2 x 2 x 271 x 194 x 225 x 379 x 973 = 17448800632200

Therefore, the lowest common multiple of 542,776,900,758,973 is 17448800632200.

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 776 x 900 x 758 x 973 = 279180810115200

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

776 : 1, 2, 4, 8, 97, 194, 388, 776

900 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 150, 180, 225, 300, 450, 900

758 : 1, 2, 379, 758

973 : 1, 7, 139, 973

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 542,776,900,758,973, is 1.

Now, the common factors can be found like this.

542:2x 271

776:2x 2x 2x 97

900:2x 2x 3x 3x 5x 5

758:2x 379

973:7x 139

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 2 = 16

Therefore, the value for common factors is 16.

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 = 279180810115200/(1x16)

LCM = 279180810115200/16

LCM = 17448800632200

Thus, we can understand that the LCM of 542,776,900,758,973 is 17448800632200.

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

• LCM of 485, 824, 588, 757, 178
• LCM of 493, 981, 929, 148, 334
• LCM of 978, 918, 158, 731, 533
• LCM of 936, 659, 273, 606, 558
• LCM of 635, 315, 272, 477, 548

1. What is the LCM of 542, 776, 900, 758, 973?

Answer: LCM of 542, 776, 900, 758, 973 is 17448800632200.

2. How to calculate the LCM of 542, 776, 900, 758, 973?

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, 776, 900, 758, 973.

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}.