Given numbers are 547,104,182,920,975

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

The LCM of 547,104,182,920,975 is 686922600.

Find LCM of 547,104,182,920,975 with Prime Factorization

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

2 x 2 x 2 x 5 x 13 x 547 x 1 x 7 x 23 x 15 = 686922600

Therefore, the lowest common multiple of 547,104,182,920,975 is 686922600.

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.

547 x 104 x 182 x 920 x 975 = 9287193552000

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.

547 : 1, 547

104 : 1, 2, 4, 8, 13, 26, 52, 104

182 : 1, 2, 7, 13, 14, 26, 91, 182

920 : 1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920

975 : 1, 3, 5, 13, 15, 25, 39, 65, 75, 195, 325, 975

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 547,104,182,920,975, is 1.

Now, the common factors can be found like this.

547:547

104:2x 2x 2x 13

182:2x 7x 13

920:2x 2x 2x 5x 23

975:3x 5x 5x 13

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 5x 13x 13 = 13520

Therefore, the value for common factors is 13520.

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 = 9287193552000/(1x13520)

LCM = 9287193552000/13520

LCM = 686922600

Thus, we can understand that the LCM of 547,104,182,920,975 is 686922600.

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

• LCM of 537, 356, 408, 215, 871
• LCM of 609, 650, 246, 443, 318
• LCM of 766, 374, 113, 381, 298
• LCM of 492, 589, 884, 586, 624
• LCM of 489, 952, 683, 159, 510

1. What is the LCM of 547, 104, 182, 920, 975?

Answer: LCM of 547, 104, 182, 920, 975 is 686922600.

2. How to calculate the LCM of 547, 104, 182, 920, 975?

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 547, 104, 182, 920, 975.

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}.