Given numbers are 618,714,432,828

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

The LCM of 618,714,432,828 is 121785552.

Find LCM of 618,714,432,828 with Prime Factorization

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

2 x 2 x 3 x 3 x 103 x 119 x 12 x 23 = 121785552

Therefore, the lowest common multiple of 618,714,432,828 is 121785552.

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.

618 x 714 x 432 x 828 = 157834075392

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.

618 : 1, 2, 3, 6, 103, 206, 309, 618

714 : 1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714

432 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 72, 108, 144, 216, 432

828 : 1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828

6 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 618,714,432,828, is 6.

Now, the common factors can be found like this.

618:2x 3x 103

714:2x 3x 7x 17

432:2x 2x 2x 2x 3x 3x 3

828:2x 2x 3x 3x 23

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 3 = 216

Therefore, the value for common factors is 216.

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 = 157834075392/(6x216)

LCM = 157834075392/1296

LCM = 121785552

Thus, we can understand that the LCM of 618,714,432,828 is 121785552.

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

• LCM of 148, 316, 475, 498
• LCM of 404, 325, 300, 855
• LCM of 863, 843, 621, 932
• LCM of 858, 815, 537, 290
• LCM of 608, 501, 582, 614

1. What is the LCM of 618, 714, 432, 828?

Answer: LCM of 618, 714, 432, 828 is 121785552.

2. How to calculate the LCM of 618, 714, 432, 828?

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 618, 714, 432, 828.

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}.