Given numbers are 540,358,588,263,360

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

The LCM of 540,358,588,263,360 is 2491314840.

Find LCM of 540,358,588,263,360 with Prime Factorization

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

2 x 2 x 3 x 3 x 5 x 3 x 179 x 49 x 263 x 2 = 2491314840

Therefore, the lowest common multiple of 540,358,588,263,360 is 2491314840.

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.

540 x 358 x 588 x 263 x 360 = 10762480108800

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.

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

358 : 1, 2, 179, 358

588 : 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 49, 84, 98, 147, 196, 294, 588

263 : 1, 263

360 : 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 540,358,588,263,360, is 1.

Now, the common factors can be found like this.

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

358:2x 179

588:2x 2x 3x 7x 7

263:263

360:2x 2x 2x 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 2x 3x 3x 3x 5 = 4320

Therefore, the value for common factors is 4320.

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 = 10762480108800/(1x4320)

LCM = 10762480108800/4320

LCM = 2491314840

Thus, we can understand that the LCM of 540,358,588,263,360 is 2491314840.

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

• LCM of 564, 723, 841, 813, 591
• LCM of 273, 148, 488, 767, 343
• LCM of 707, 592, 499, 559, 215
• LCM of 163, 405, 678, 406, 483
• LCM of 924, 529, 448, 653, 641

1. What is the LCM of 540, 358, 588, 263, 360?

Answer: LCM of 540, 358, 588, 263, 360 is 2491314840.

2. How to calculate the LCM of 540, 358, 588, 263, 360?

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 540, 358, 588, 263, 360.

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}.