Given numbers are 536,628,440,364,540

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

The LCM of 536,628,440,364,540 is 11371880520.

Find LCM of 536,628,440,364,540 with Prime Factorization

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

2 x 2 x 2 x 5 x 67 x 157 x 11 x 91 x 27 = 11371880520

Therefore, the lowest common multiple of 536,628,440,364,540 is 11371880520.

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.

536 x 628 x 440 x 364 x 540 = 29112014131200

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.

536 : 1, 2, 4, 8, 67, 134, 268, 536

628 : 1, 2, 4, 157, 314, 628

440 : 1, 2, 4, 5, 8, 10, 11, 20, 22, 40, 44, 55, 88, 110, 220, 440

364 : 1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364

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

4 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 536,628,440,364,540, is 4.

Now, the common factors can be found like this.

536:2x 2x 2x 67

628:2x 2x 157

440:2x 2x 2x 5x 11

364:2x 2x 7x 13

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 2x 2x 2x 5 = 640

Therefore, the value for common factors is 640.

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 = 29112014131200/(4x640)

LCM = 29112014131200/2560

LCM = 11371880520

Thus, we can understand that the LCM of 536,628,440,364,540 is 11371880520.

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

• LCM of 355, 356, 590, 260, 532
• LCM of 538, 678, 142, 147, 733
• LCM of 862, 247, 945, 839, 657
• LCM of 965, 509, 810, 927, 273
• LCM of 965, 305, 898, 634, 129

1. What is the LCM of 536, 628, 440, 364, 540?

Answer: LCM of 536, 628, 440, 364, 540 is 11371880520.

2. How to calculate the LCM of 536, 628, 440, 364, 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 536, 628, 440, 364, 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}.