Given numbers are 268,985,828

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

The LCM of 268,985,828 is 54643860.

Find LCM of 268,985,828 with Prime Factorization

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

2 x 2 x 67 x 985 x 207 = 54643860

Therefore, the lowest common multiple of 268,985,828 is 54643860.

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 985 x 828 = 218575440

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

985 : 1, 5, 197, 985

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 268,985,828, is 1.

Now, the common factors can be found like this.

268:2x 2x 67

985:5x 197

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 2 = 4

Therefore, the value for common factors is 4.

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 = 218575440/(1x4)

LCM = 218575440/4

LCM = 54643860

Thus, we can understand that the LCM of 268,985,828 is 54643860.

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

• LCM of 200, 188, 323
• LCM of 111, 503, 179
• LCM of 559, 755, 559
• LCM of 101, 753, 856
• LCM of 904, 222, 145

1. What is the LCM of 268, 985, 828?

Answer: LCM of 268, 985, 828 is 54643860.

2. How to calculate the LCM of 268, 985, 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, 985, 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}.