Given numbers are 268,816,357,828

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

The LCM of 268,816,357,828 is 26406576.

Find LCM of 268,816,357,828 with Prime Factorization

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

2 x 2 x 3 x 17 x 67 x 4 x 7 x 69 = 26406576

Therefore, the lowest common multiple of 268,816,357,828 is 26406576.

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.

268 x 816 x 357 x 828 = 64643298048

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.

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

816 : 1, 2, 3, 4, 6, 8, 12, 16, 17, 24, 34, 48, 51, 68, 102, 136, 204, 272, 408, 816

357 : 1, 3, 7, 17, 21, 51, 119, 357

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 268,816,357,828, is 1.

Now, the common factors can be found like this.

268:2x 2x 67

816:2x 2x 2x 2x 3x 17

357:3x 7x 17

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 2x 3x 3x 17 = 2448

Therefore, the value for common factors is 2448.

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 = 64643298048/(1x2448)

LCM = 64643298048/2448

LCM = 26406576

Thus, we can understand that the LCM of 268,816,357,828 is 26406576.

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

• LCM of 945, 453, 985, 430
• LCM of 958, 751, 853, 351
• LCM of 656, 541, 376, 999
• LCM of 848, 760, 604, 143
• LCM of 616, 896, 742, 532

1. What is the LCM of 268, 816, 357, 828?

Answer: LCM of 268, 816, 357, 828 is 26406576.

2. How to calculate the LCM of 268, 816, 357, 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 268, 816, 357, 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}.