Given numbers are 538,743,828

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

The LCM of 538,743,828 is 165489876.

Find LCM of 538,743,828 with Prime Factorization

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

2 x 269 x 743 x 414 = 165489876

Therefore, the lowest common multiple of 538,743,828 is 165489876.

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.

538 x 743 x 828 = 330979752

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.

538 : 1, 2, 269, 538

743 : 1, 743

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 538,743,828, is 1.

Now, the common factors can be found like this.

538:2x 269

743:743

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.

2 = 2

Therefore, the value for common factors is 2.

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 = 330979752/(1x2)

LCM = 330979752/2

LCM = 165489876

Thus, we can understand that the LCM of 538,743,828 is 165489876.

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

• LCM of 414, 259, 287
• LCM of 384, 889, 860
• LCM of 135, 295, 220
• LCM of 750, 268, 671
• LCM of 269, 875, 734

1. What is the LCM of 538, 743, 828?

Answer: LCM of 538, 743, 828 is 165489876.

2. How to calculate the LCM of 538, 743, 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 538, 743, 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}.