Given numbers are 546,250,348,590,930

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

The LCM of 546,250,348,590,930 is 7240096500.

Find LCM of 546,250,348,590,930 with Prime Factorization

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

2 x 3 x 5 x 91 x 25 x 58 x 59 x 31 = 7240096500

Therefore, the lowest common multiple of 546,250,348,590,930 is 7240096500.

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.

546 x 250 x 348 x 590 x 930 = 26064347400000

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.

546 : 1, 2, 3, 6, 7, 13, 14, 21, 26, 39, 42, 78, 91, 182, 273, 546

250 : 1, 2, 5, 10, 25, 50, 125, 250

348 : 1, 2, 3, 4, 6, 12, 29, 58, 87, 116, 174, 348

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

930 : 1, 2, 3, 5, 6, 10, 15, 30, 31, 62, 93, 155, 186, 310, 465, 930

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 546,250,348,590,930, is 2.

Now, the common factors can be found like this.

546:2x 3x 7x 13

250:2x 5x 5x 5

348:2x 2x 3x 29

590:2x 5x 59

930:2x 3x 5x 31

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 3x 3x 5x 5 = 1800

Therefore, the value for common factors is 1800.

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 = 26064347400000/(2x1800)

LCM = 26064347400000/3600

LCM = 7240096500

Thus, we can understand that the LCM of 546,250,348,590,930 is 7240096500.

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

• LCM of 574, 796, 947, 193, 815
• LCM of 115, 693, 308, 255, 704
• LCM of 667, 779, 742, 185, 213
• LCM of 842, 653, 284, 315, 664
• LCM of 804, 409, 402, 318, 169

1. What is the LCM of 546, 250, 348, 590, 930?

Answer: LCM of 546, 250, 348, 590, 930 is 7240096500.

2. How to calculate the LCM of 546, 250, 348, 590, 930?

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 546, 250, 348, 590, 930.

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}.