Given numbers are 536,201,338,624

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

The LCM of 536,201,338,624 is 543504.

Find LCM of 536,201,338,624 with Prime Factorization

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

2 x 2 x 2 x 3 x 13 x 67 x 1 x 1 x 13 x 2 = 543504

Therefore, the lowest common multiple of 536,201,338,624 is 543504.

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 201 x 338 x 624 = 22722815232

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

201 : 1, 3, 67, 201

338 : 1, 2, 13, 26, 169, 338

624 : 1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 39, 48, 52, 78, 104, 156, 208, 312, 624

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 536,201,338,624, is 1.

Now, the common factors can be found like this.

536:2x 2x 2x 67

201:3x 67

338:2x 13x 13

624:2x 2x 2x 2x 3x 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 3x 13x 67 = 41808

Therefore, the value for common factors is 41808.

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 = 22722815232/(1x41808)

LCM = 22722815232/41808

LCM = 543504

Thus, we can understand that the LCM of 536,201,338,624 is 543504.

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

• LCM of 459, 801, 275, 152
• LCM of 953, 559, 268, 727
• LCM of 409, 606, 894, 711
• LCM of 490, 294, 625, 427
• LCM of 672, 869, 178, 925

1. What is the LCM of 536, 201, 338, 624?

Answer: LCM of 536, 201, 338, 624 is 543504.

2. How to calculate the LCM of 536, 201, 338, 624?

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, 201, 338, 624.

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}.