Given numbers are 260,372,463,235,540

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

The LCM of 260,372,463,235,540 is 4735628820.

Find LCM of 260,372,463,235,540 with Prime Factorization

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

2 x 2 x 3 x 5 x 13 x 31 x 463 x 47 x 9 = 4735628820

Therefore, the lowest common multiple of 260,372,463,235,540 is 4735628820.

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.

260 x 372 x 463 x 235 x 540 = 5682754584000

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.

260 : 1, 2, 4, 5, 10, 13, 20, 26, 52, 65, 130, 260

372 : 1, 2, 3, 4, 6, 12, 31, 62, 93, 124, 186, 372

463 : 1, 463

235 : 1, 5, 47, 235

540 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 90, 108, 135, 180, 270, 540

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 260,372,463,235,540, is 1.

Now, the common factors can be found like this.

260:2x 2x 5x 13

372:2x 2x 3x 31

463:463

235:5x 47

540:2x 2x 3x 3x 3x 5

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 3x 5x 5 = 1200

Therefore, the value for common factors is 1200.

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 = 5682754584000/(1x1200)

LCM = 5682754584000/1200

LCM = 4735628820

Thus, we can understand that the LCM of 260,372,463,235,540 is 4735628820.

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

• LCM of 152, 521, 922, 307, 431
• LCM of 389, 639, 304, 351, 117
• LCM of 625, 335, 612, 319, 580
• LCM of 609, 490, 985, 267, 772
• LCM of 371, 525, 770, 472, 189

1. What is the LCM of 260, 372, 463, 235, 540?

Answer: LCM of 260, 372, 463, 235, 540 is 4735628820.

2. How to calculate the LCM of 260, 372, 463, 235, 540?

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 260, 372, 463, 235, 540.

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}.